Last Updated :2025/12/03

Turán's theorem

Proper noun
Japanese Meaning
グラフ理論における定理であり、n頂点の単純グラフのうち、(r+1)クリークを含まないものの中で、T(n, r)が最大の辺数を持つことを示す定理です。
What is this buttons?

組合せ論のゼミで、(r+1)-クリークを持たないn頂点の単純グラフの中でT(n,r)が最大の辺数を持つと述べるグラフ理論の定理(トゥラーンの定理)と、その極値構成がどのように(r+1)-クリークを回避するかを議論しました。

Quizzes for review

(graph theory) A theorem stating that, among the n-vertex simple graphs with no (r + 1)-cliques, T(n, r) has the maximum number of edges.

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Turán's theorem

In our combinatorics seminar, we discussed Turán's theorem and how its extremal construction avoids (r + 1)-cliques.

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In our combinatorics seminar, we discussed Turán's theorem and how its extremal construction avoids (r + 1)-cliques.

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