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<title>9.1.  Graph - Hello 算法</title>
<title>9.1.   图 - Hello 算法</title>
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<div data-md-component="skip">
<a href="#91-graph" class="md-skip">
<a href="#91" class="md-skip">
跳转至
</a>
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<div class="md-header__topic" data-md-component="header-topic">
<span class="md-ellipsis">
9.1. &nbsp;Graph
9.1. &nbsp;
</span>
</div>
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<li class="md-nav__item">
<a href="../../chapter_array_and_linkedlist/array/" class="md-nav__link">
4.1. &nbsp; 数组Array
4.1. &nbsp; 数组
</a>
</li>
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<li class="md-nav__item">
<a href="../../chapter_array_and_linkedlist/linked_list/" class="md-nav__link">
4.2. &nbsp; 链表Linked List
4.2. &nbsp; 链表
</a>
</li>
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<li class="md-nav__item">
<a href="../../chapter_array_and_linkedlist/list/" class="md-nav__link">
4.3. &nbsp; 列表List
4.3. &nbsp; 列表
</a>
</li>
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<li class="md-nav__item">
<a href="../../chapter_stack_and_queue/stack/" class="md-nav__link">
5.1. &nbsp;Stack
5.1. &nbsp;
</a>
</li>
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<li class="md-nav__item">
<a href="../../chapter_stack_and_queue/queue/" class="md-nav__link">
5.2. &nbsp; 队列Queue
5.2. &nbsp; 队列
</a>
</li>
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<li class="md-nav__item">
<a href="../../chapter_stack_and_queue/deque/" class="md-nav__link">
5.3. &nbsp; 双向队列Deque
5.3. &nbsp; 双向队列
</a>
</li>
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<li class="md-nav__item">
<a href="../../chapter_hashing/hash_map/" class="md-nav__link">
6.1. &nbsp; 哈希表Hash Map
6.1. &nbsp; 哈希表
</a>
</li>
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<label class="md-nav__link" for="__nav_8" id="__nav_8_label" tabindex="0">
7. &nbsp; &nbsp; 二叉
7. &nbsp; &nbsp;
<span class="md-nav__icon md-icon"></span>
</label>
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_8_label" aria-expanded="false">
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7. &nbsp; &nbsp; 二叉
7. &nbsp; &nbsp;
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<ul class="md-nav__list" data-md-scrollfix>
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<li class="md-nav__item">
<a href="../../chapter_tree/binary_tree/" class="md-nav__link">
7.1. &nbsp; 二叉树Binary Tree
7.1. &nbsp; 二叉树
</a>
</li>
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<li class="md-nav__item">
<a href="../../chapter_heap/heap/" class="md-nav__link">
8.1. &nbsp;Heap
8.1. &nbsp;
</a>
</li>
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<label class="md-nav__link md-nav__link--active" for="__toc">
9.1. &nbsp;Graph
9.1. &nbsp;
<span class="md-nav__icon md-icon"></span>
</label>
<a href="./" class="md-nav__link md-nav__link--active">
9.1. &nbsp;Graph
9.1. &nbsp;
</a>
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<h1 id="91-graph">9.1. &nbsp;Graph<a class="headerlink" href="#91-graph" title="Permanent link">&para;</a></h1>
<h1 id="91">9.1. &nbsp;<a class="headerlink" href="#91" title="Permanent link">&para;</a></h1>
<p>「图 Graph」是一种非线性数据结构由「顶点 Vertex」和「边 Edge」组成。我们可将图 <span class="arithmatex">\(G\)</span> 抽象地表示为一组顶点 <span class="arithmatex">\(V\)</span> 和一组边 <span class="arithmatex">\(E\)</span> 的集合。例如,以下表示一个包含 5 个顶点和 7 条边的图</p>
<div class="arithmatex">\[
\begin{aligned}