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<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 633" width="900" height="633"><title>连通性问题:本章知识结构</title><defs><marker id="a" viewBox="0 0 10 10" refX="9" refY="5" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0 0L10 5L0 10Z" fill="#416687"/></marker></defs><rect width="100%" height="100%" fill="white"/><g font-family="Microsoft YaHei,Arial,sans-serif" fill="#263c52" stroke-linecap="round">
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<rect x="150" y="15" width="600" height="45" stroke="#67859e" fill="#e6edf5" stroke-width="1.5"/>
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<text x="450" y="38" text-anchor="middle" dominant-baseline="central" font-size="25">连通性问题</text>
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<path d="M35 62L35 608" fill="none" stroke="#416687" stroke-width="2"/>
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<path d="M35 62L450 62" fill="none" stroke="#416687" stroke-width="2"/>
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<path d="M35 107L65 107" fill="none" stroke="#416687" stroke-width="2"/>
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<rect x="65" y="90" width="805" height="35" stroke="#67859e" fill="#eef3f8" stroke-width="1.5"/>
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<text x="80" y="114" font-size="21" font-weight="bold">无向图的边双连通性</text>
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<text x="95" y="157" font-size="18">例 12-1:切断线路</text>
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<text x="440" y="157" font-size="18">割边与边双连通分量;求解边双连通分量</text>
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<text x="95" y="211" font-size="18">例 12-2:多余的路径</text>
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<text x="440" y="211" font-size="18">边双连通分量的应用</text>
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<path d="M35 270L65 270" fill="none" stroke="#416687" stroke-width="2"/>
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<rect x="65" y="253" width="805" height="35" stroke="#67859e" fill="#eef3f8" stroke-width="1.5"/>
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<text x="80" y="277" font-size="21" font-weight="bold">无向图的点双连通性</text>
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<text x="95" y="320" font-size="18">例 12-3:割点</text>
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<text x="440" y="320" font-size="18">割点与点双连通分量;圆方树</text>
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<text x="95" y="374" font-size="18">例 12-4:铁人两项</text>
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<text x="440" y="374" font-size="18">点双连通分量的应用</text>
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<path d="M35 433L65 433" fill="none" stroke="#416687" stroke-width="2"/>
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<rect x="65" y="416" width="805" height="35" stroke="#67859e" fill="#eef3f8" stroke-width="1.5"/>
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<text x="80" y="440" font-size="21" font-weight="bold">有向图的强连通性</text>
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<text x="95" y="483" font-size="18">例 12-5:奶牛舞会</text>
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<text x="440" y="483" font-size="18">强连通图与分量;Tarjan、Kosaraju</text>
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<text x="440" y="506" font-size="18"> 算法</text>
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<text x="95" y="537" font-size="18">例 12-6:缩点</text>
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<text x="440" y="537" font-size="18">将有向图变成有向无环图</text>
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<text x="95" y="591" font-size="18">例 12-7:2-SAT问题</text>
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<text x="440" y="591" font-size="18">求解 2-SAT 问题</text>
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</g></svg>
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