December 2016
Intermediate to advanced
440 pages
9h 44m
Japanese
Content preview from アルゴリズムクイックリファレンス 第2版
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158
■
6
章 グラフアルゴリズム
図6-8 無向グラフの例で計算した pred。5 つの節点が黒色になった時点の様子。
ただし、この経路は最短ではないかもしれない。実際、この
深さ優先探索
が完了
したとき、
s
から
t
への経路は
7
節点の＜
s, 1, 3, 4, 5, 9, t
＞となるが、より短い
5
節点の経路＜
s, 6, 5, 9, t
＞が存在する。なお「最短経路」とは、
s
と
t
との間での
分岐決定点の個数が最小の経路を指す。
6.2.1
入出力
入力は、グラフ
G
＝
(V, E )
および始点
s
∈
V
。
深さ優先 探 索
は、深さ優 先順序において
v
の前の（
predecessor
）節点を表す
pred[v]
配列を生成する。
6.2.2
文脈
深さ優先探索
では、グラフの走査中、各節点に色（白、灰色、黒）を貯えるだけで
よい。したがって、
深さ優先探索
は
s
から始めるグラフ探索において、情報蓄積の
オーバーヘッドが
O(n)
しかかからない。
深さ優先探索
では、グラフとは別の配列に処理情報を貯えることもできる。グラ
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.