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數(shù)據(jù)結(jié)構(gòu) 讀者對(duì)象:本書既可作為高職院校計(jì)算機(jī)專業(yè)的教材,也可作為其他相關(guān)專業(yè)和工程技術(shù)人員的參考書。
本書基于C 語言,以項(xiàng)目的形式組織內(nèi)容,循序漸進(jìn)地講解數(shù)據(jù)結(jié)構(gòu)的基本原理和具體應(yīng)用方法。本書共9 個(gè)項(xiàng)目,具體內(nèi)容包括數(shù)據(jù)結(jié)構(gòu)概述、線性表、棧和隊(duì)列、串、數(shù)組和廣義表、樹與二叉樹、圖、查找、排序。本書實(shí)例豐富、內(nèi)容翔實(shí)、簡(jiǎn)單易學(xué),不僅適合作為職業(yè)院校計(jì)算機(jī)相關(guān)專業(yè)的教材,也可供從事計(jì)算機(jī)相關(guān)工作的專業(yè)人士參考。
方加娟,Autodesk中國(guó)認(rèn)證考試中心首席專家,全面負(fù)責(zé)Autodesk中國(guó)官方認(rèn)證考試大綱制定、題庫(kù)建設(shè)、技術(shù)咨詢和師資力量培訓(xùn)工作。其創(chuàng)作的很多教材成為國(guó)內(nèi)具有引導(dǎo)性的旗幟作品,在國(guó)內(nèi)相關(guān)專業(yè)方向圖書創(chuàng)作領(lǐng)域具有舉足輕重的地位。
目 錄
項(xiàng)目一 數(shù)據(jù)結(jié)構(gòu)概述························································································1 任務(wù)一 數(shù)據(jù)結(jié)構(gòu)概述··················································································1 任務(wù)引入······························································································1 任務(wù)分析······························································································1 知識(shí)準(zhǔn)備······························································································2 一、基本概念························································································2 二、研究對(duì)象························································································3 三、數(shù)據(jù)邏輯結(jié)構(gòu)分類············································································5 四、常用數(shù)據(jù)結(jié)構(gòu)··················································································6 任務(wù)二 算法······························································································7 任務(wù)引入······························································································7 任務(wù)分析······························································································7 知識(shí)準(zhǔn)備······························································································7 一、算法簡(jiǎn)介························································································7 二、算法設(shè)計(jì)的要求···············································································8 三、算法效率的評(píng)價(jià)···············································································8 四、常用語句階的計(jì)算············································································9 任務(wù)三 C 語言基礎(chǔ)··················································································.10 任務(wù)引入···························································································.10 任務(wù)分析···························································································.10 知識(shí)準(zhǔn)備···························································································.10 一、C 語言簡(jiǎn)介··················································································.10 二、C 語言特點(diǎn)··················································································.11 三、C 語言基本結(jié)構(gòu)············································································.13 四、C 語言關(guān)鍵字···············································································.14 五、C 語言語法結(jié)構(gòu)············································································.15 六、C 語言程序··················································································.17 項(xiàng)目二 線性表······························································································.23 任務(wù)一 線性表概述··················································································.23 任務(wù)引入···························································································.23 任務(wù)分析···························································································.23 知識(shí)準(zhǔn)備···························································································.23 一、定義···························································································.24 二、抽象數(shù)據(jù)類型線性表······································································.24 任務(wù)二 線性表的順序存儲(chǔ)結(jié)構(gòu)···································································.26 任務(wù)引入···························································································.26 任務(wù)分析···························································································.26 知識(shí)準(zhǔn)備···························································································.26 一、順序存儲(chǔ)結(jié)構(gòu)···············································································.26 二、基本操作的實(shí)現(xiàn)············································································.27 任務(wù)三 線性表的鏈?zhǔn)酱鎯?chǔ)結(jié)構(gòu)···································································.29 任務(wù)引入···························································································.29 任務(wù)分析···························································································.29 知識(shí)準(zhǔn)備···························································································.30 一、單鏈表························································································.30 二、基本操作的實(shí)現(xiàn)············································································.31 三、循環(huán)鏈表·····················································································.34 四、雙向鏈表·····················································································.35 案例——一元多項(xiàng)式的表示及相加··························································.37 項(xiàng)目三 棧和隊(duì)列···························································································.39 任務(wù)一 !ぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁ.39 任務(wù)引入···························································································.39 任務(wù)分析···························································································.39 知識(shí)準(zhǔn)備···························································································.39 一、棧的定義及其運(yùn)算·········································································.39 二、棧的順序存儲(chǔ)結(jié)構(gòu)·········································································.40 三、棧的鏈?zhǔn)酱鎯?chǔ)結(jié)構(gòu)·········································································.42 四、棧的應(yīng)用·····················································································.44 任務(wù)二 隊(duì)列···························································································.46 任務(wù)引入···························································································.46 任務(wù)分析···························································································.46 知識(shí)準(zhǔn)備···························································································.46 一、抽象數(shù)據(jù)類型隊(duì)列的定義································································.46 二、鏈隊(duì)列——隊(duì)列的順序表示和實(shí)現(xiàn)····················································.48 三、循環(huán)隊(duì)列——隊(duì)列的循環(huán)表示和實(shí)現(xiàn)·················································.50 項(xiàng)目四 串····································································································.53 任務(wù)一 串及其基本運(yùn)算············································································.53 任務(wù)引入···························································································.53 任務(wù)分析···························································································.53 知識(shí)準(zhǔn)備···························································································.53 一、串的基本概念···············································································.54 二、串的基本運(yùn)算···············································································.54 任務(wù)二 串的存儲(chǔ)結(jié)構(gòu)及基本運(yùn)算································································.55 任務(wù)引入···························································································.55 任務(wù)分析···························································································.55 知識(shí)準(zhǔn)備···························································································.55 一、串的定長(zhǎng)順序存儲(chǔ)·········································································.55 二、定長(zhǎng)順序串的基本運(yùn)算···································································.56 三、串的鏈?zhǔn)酱鎯?chǔ)結(jié)構(gòu)·········································································.58 任務(wù)三 串的堆存儲(chǔ)結(jié)構(gòu)············································································.59 任務(wù)引入···························································································.59 任務(wù)分析···························································································.59 知識(shí)準(zhǔn)備···························································································.59 一、串名的存儲(chǔ)映像············································································.59 二、堆存儲(chǔ)結(jié)構(gòu)··················································································.61 三、基于堆結(jié)構(gòu)的基本運(yùn)算···································································.61 四、串的應(yīng)用舉例:文本編輯································································.61 項(xiàng)目五 數(shù)組和廣義表·····················································································.64 任務(wù)一 數(shù)組···························································································.64 任務(wù)引入···························································································.64 任務(wù)分析···························································································.64 知識(shí)準(zhǔn)備···························································································.64 一、數(shù)組概念及其存儲(chǔ)結(jié)構(gòu)···································································.65 二、特殊矩陣的壓縮存儲(chǔ)······································································.66 三、稀疏矩陣·····················································································.67 任務(wù)二 廣義表························································································.71 任務(wù)引入···························································································.71 任務(wù)分析···························································································.71 知識(shí)準(zhǔn)備···························································································.71 一、廣義表的定義···············································································.71 二、廣義表的存儲(chǔ)結(jié)構(gòu)·········································································.72 項(xiàng)目六 樹與二叉樹························································································.75 任務(wù)一 樹······························································································.75 任務(wù)引入···························································································.75 任務(wù)分析···························································································.76 知識(shí)準(zhǔn)備···························································································.76 一、樹的定義·····················································································.76 二、樹的基本術(shù)語···············································································.76 任務(wù)二 二叉樹························································································.77 任務(wù)引入···························································································.77 任務(wù)分析···························································································.77 知識(shí)準(zhǔn)備···························································································.77 一、二叉樹的定義···············································································.77 二、二叉樹的基本特點(diǎn)·········································································.78 三、二叉樹的基本操作·········································································.78 四、特殊形態(tài)的二叉樹·········································································.78 五、二叉樹的性質(zhì)···············································································.80 六、二叉樹的存儲(chǔ)結(jié)構(gòu)·········································································.81 任務(wù)三 遍歷二叉樹··················································································.82 任務(wù)引入···························································································.82 任務(wù)分析···························································································.82 知識(shí)準(zhǔn)備···························································································.83 一、相關(guān)概念·····················································································.83 二、遍歷二叉樹的操作及算法································································.83 案例——二叉樹的遍歷·········································································.85 三、根據(jù)遍歷序列推導(dǎo)二叉樹································································.86 案例——根據(jù)二叉樹的遍歷序列推導(dǎo)二叉樹··············································.86 任務(wù)四 線索二叉樹··················································································.87 任務(wù)引入···························································································.87 任務(wù)分析···························································································.87 知識(shí)準(zhǔn)備···························································································.87 任務(wù)五 樹、森林與二叉樹的轉(zhuǎn)換································································.90 任務(wù)引入···························································································.90 任務(wù)分析···························································································.90 知識(shí)準(zhǔn)備···························································································.90 一、樹的存儲(chǔ)結(jié)構(gòu)···············································································.90 二、樹、森林與二叉樹的轉(zhuǎn)換方法··························································.92 三、樹與森林的遍歷············································································.95 任務(wù)六 哈夫曼樹及其應(yīng)用·········································································.95 任務(wù)引入···························································································.95 任務(wù)分析···························································································.96 知識(shí)準(zhǔn)備···························································································.96 一、基本概念·····················································································.96 二、哈夫曼樹的構(gòu)造過程······································································.96 三、哈夫曼編碼的構(gòu)造·········································································.97 案例——構(gòu)造哈夫曼編碼······································································.98 四、哈夫曼編碼的幾點(diǎn)結(jié)論···································································.99 項(xiàng)目七 圖····································································································101 任務(wù)一 圖的定義和基本術(shù)語······································································101 任務(wù)引入···························································································101 任務(wù)分析···························································································102 知識(shí)準(zhǔn)備···························································································102 一、圖的定義·····················································································102 二、圖的基本術(shù)語···············································································102 三、圖的抽象數(shù)據(jù)類型·········································································107 任務(wù)二 圖的存儲(chǔ)·····················································································107 任務(wù)引入···························································································107 任務(wù)分析···························································································107 知識(shí)準(zhǔn)備···························································································108 一、圖的鄰接矩陣表示法······································································108 二、圖的鄰接表表示法·········································································111 三、鄰接多重表··················································································115 任務(wù)三 圖的遍歷·····················································································116 任務(wù)引入···························································································116 任務(wù)分析···························································································117 知識(shí)準(zhǔn)備···························································································117 一、圖的遍歷·····················································································117 二、深度優(yōu)先遍歷···············································································117 三、廣度優(yōu)先遍歷···············································································119 四、圖的連通性問題············································································121 任務(wù)四 圖的應(yīng)用·····················································································121 任務(wù)引入···························································································121 任務(wù)分析···························································································121 知識(shí)準(zhǔn)備···························································································122 一、最小生成樹··················································································122 二、最小生成樹性質(zhì)MST ·····································································122 三、普里姆算法··················································································122 四、克魯斯卡爾算法············································································125 任務(wù)五 最短路徑·····················································································126 任務(wù)引入···························································································126 任務(wù)分析···························································································126 知識(shí)準(zhǔn)備···························································································126 一、迪杰斯特拉算法············································································126 二、迪杰斯特拉算法的思想···································································126 三、迪杰斯特拉算法的分析和實(shí)現(xiàn)··························································127 任務(wù)六 弗洛伊德算法···············································································128 任務(wù)引入···························································································128 任務(wù)分析···························································································128 知識(shí)準(zhǔn)備···························································································129 一、弗洛伊德算法思想·········································································129 二、弗洛伊德算法過程·········································································129 三、弗洛伊德算法的分析和實(shí)現(xiàn)·····························································130 任務(wù)七 拓?fù)渑判颉ぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁ?31 任務(wù)引入···························································································131 任務(wù)分析···························································································131 知識(shí)準(zhǔn)備···························································································131 一、AOV 網(wǎng)·······················································································131 二、拓?fù)渑判颉ぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁぁ?32 任務(wù)八 關(guān)鍵路徑·····················································································134 任務(wù)引入···························································································134 任務(wù)分析···························································································134 知識(shí)準(zhǔn)備···························································································134 一、相關(guān)概念·····················································································134 二、求關(guān)鍵路徑算法思想······································································135 項(xiàng)目八 查找·································································································137 任務(wù)一 查找的相關(guān)概念············································································137 任務(wù)引入···························································································137 任務(wù)分析···························································································137 知識(shí)準(zhǔn)備···························································································138 一、查找的相關(guān)概念············································································138 二、查找的性能指標(biāo)············································································138 任務(wù)二 靜態(tài)查找表··················································································138 任務(wù)引入···························································································138 任務(wù)分析···························································································138 知識(shí)準(zhǔn)備···························································································139 任務(wù)三 折半查找·····················································································140 任務(wù)引入···························································································140 任務(wù)分析···························································································140 知識(shí)準(zhǔn)備···························································································141 案例——折半查找···············································································141 任務(wù)四 分塊查找·····················································································143 任務(wù)引入···························································································143 任務(wù)分析···························································································143 知識(shí)準(zhǔn)備···························································································143 任務(wù)五 樹表查找·····················································································144 任務(wù)引入···························································································144 任務(wù)分析···························································································144 知識(shí)準(zhǔn)備···························································································144 一、二叉排序樹的定義·········································································144 二、二叉排序樹的結(jié)構(gòu)定義···································································145 三、二叉排序樹的查找·········································································145 四、二叉排序樹的插入與創(chuàng)建································································146 五、二叉排序樹的創(chuàng)建·········································································147 實(shí)例——?jiǎng)?chuàng)建二叉排序樹······································································147 任務(wù)六 平衡二叉樹··················································································151 任務(wù)引入···························································································151 任務(wù)分析···························································································151 知識(shí)準(zhǔn)備···························································································152 一、相關(guān)概念·····················································································152 二、平衡二叉樹的平衡調(diào)整方法·····························································153 任務(wù)七 散列表查找··················································································156 任務(wù)引入···························································································156 任務(wù)分析···························································································157 知識(shí)準(zhǔn)備···························································································157 一、常用術(shù)語·····················································································157 二、散列函數(shù)的構(gòu)造方法······································································158 三、處理沖突的方法············································································160 案例——線性探測(cè)再散列······································································161 案例——二次探測(cè)法············································································162 案例——鏈地址法解決沖突···································································162 四、散列表的查找···············································································163 案例——散列表的查找·········································································163 項(xiàng)目九 排序·································································································166 任務(wù)一 概述···························································································166 任務(wù)引入···························································································166 任務(wù)分析···························································································166 知識(shí)準(zhǔn)備···························································································167 一、排序相關(guān)概念···············································································167 二、內(nèi)部排序的算法效率衡量································································167 三、內(nèi)部排序算法的分類······································································167 四、數(shù)據(jù)類型定義···············································································168 任務(wù)二 插入排序·····················································································168 任務(wù)引入···························································································168 任務(wù)分析···························································································168 知識(shí)準(zhǔn)備···························································································168 一、插入排序的基本思想······································································168 二、直接插入排序···············································································169 三、折半插入排序···············································································170 四、希爾排序·····················································································172 案例——希爾排序···············································································174 任務(wù)三 交換排序·····················································································175 任務(wù)引入···························································································175 任務(wù)分析···························································································175 知識(shí)準(zhǔn)備···························································································175 一、交換排序的基本思想······································································175 二、冒泡排序·····················································································175 任務(wù)四 快速排序·····················································································177 任務(wù)引入···························································································177 任務(wù)分析···························································································177 知識(shí)準(zhǔn)備···························································································177 案例——快速排序···············································································179 任務(wù)五 選擇排序·····················································································180 任務(wù)引入···························································································180 任務(wù)分析···························································································180 知識(shí)準(zhǔn)備···························································································180 一、選擇排序的算法思想······································································180 二、簡(jiǎn)單選擇排序···············································································181 三、堆排序························································································182 任務(wù)六 歸并排序·····················································································189 任務(wù)引入···························································································189 任務(wù)分析···························································································189 知識(shí)準(zhǔn)備···························································································189
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