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<h1 id="32">3.2. &nbsp; 数据结构分类<a class="headerlink" href="#32" title="Permanent link">&para;</a></h1>
<p>数据结构主要可根据「逻辑结构」和「物理结构」两种角度进行分类。</p>
<h2 id="321">3.2.1. &nbsp; 逻辑结构:线性与非线性<a class="headerlink" href="#321" title="Permanent link">&para;</a></h2>
<p><strong>「逻辑结构」反映了数据之间的逻辑关系</strong>。数组和链表的数据按照顺序依次排列,反映了数据间的线性关系;树从顶至底按层级排列,反映了祖先与后代之间的派生关系;图由结点和边组成,反映了复杂网络关系。</p>
<p>我们一般将逻辑结构分为「线性」和「非线性」两种。“线性”这个概念很直观,即表明数据在逻辑关系上是排成一条线的;而如果数据之间的逻辑关系是非线性的(例如是网状或树状的),那么就是非线性数据结构。</p>
<ul>
<li><strong>线性数据结构</strong>:数组、链表、栈、队列、哈希表;</li>
<li><strong>非线性数据结构</strong>:树、图、堆、哈希表;</li>
</ul>
<p><img alt="classification_logic_structure" src="../classification_of_data_structure.assets/classification_logic_structure.png" /></p>
<p align="center"> Fig. 线性与非线性数据结构 </p>
<h2 id="322">3.2.2. &nbsp; 物理结构:连续与离散<a class="headerlink" href="#322" title="Permanent link">&para;</a></h2>
<div class="admonition note">
<p class="admonition-title">Note</p>
<p>若感到阅读困难,建议先看完下个章节「数组与链表」,再回过头来理解物理结构的含义。</p>
</div>
<p><strong>「物理结构」反映了数据在计算机内存中的存储方式</strong>。从本质上看,分别是 <strong>数组的连续空间存储</strong><strong>链表的离散空间存储</strong>。物理结构从底层上决定了数据的访问、更新、增删等操作方法,在时间效率和空间效率方面呈现出此消彼长的特性。</p>
<p><img alt="classification_phisical_structure" src="../classification_of_data_structure.assets/classification_phisical_structure.png" /></p>
<p align="center"> Fig. 连续空间存储与离散空间存储 </p>
<p><strong>所有数据结构都是基于数组、或链表、或两者组合实现的</strong>。例如栈和队列,既可以使用数组实现、也可以使用链表实现,而例如哈希表,其实现同时包含了数组和链表。</p>
<ul>
<li><strong>基于数组可实现</strong>:栈、队列、哈希表、树、堆、图、矩阵、张量(维度 <span class="arithmatex">\(\geq 3\)</span> 的数组)等;</li>
<li><strong>基于链表可实现</strong>:栈、队列、哈希表、树、堆、图等;</li>
</ul>
<p>基于数组实现的数据结构也被称为「静态数据结构」,这意味着该数据结构在在被初始化后,长度不可变。相反地,基于链表实现的数据结构被称为「动态数据结构」,该数据结构在被初始化后,我们也可以在程序运行中修改其长度。</p>
<div class="admonition tip">
<p class="admonition-title">Tip</p>
<p>数组与链表是其他所有数据结构的“底层积木”,建议读者一定要多花些时间了解。</p>
</div>
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