Last Updated :2025/12/05

Hedetniemi's conjecture

Proper noun
Japanese Meaning
(グラフ理論)グラフの彩色とグラフのテンソル積との間に存在すると考えられていた関係に関する予想。2019年に反例が発見され、その予想は否定された可能性がある。
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多くの関連する場合で証明が得られていたにもかかわらず、ヘデトニエミの予想は研究者たちが2019年に反例を発見するまで興味深い未解決問題のままだった。

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(graph theory) A conjecture concerning the connection between graph coloring and the tensor product of graphs. A counterexample was found in 2019.

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Hedetniemi's conjecture

Despite the proof of many related cases, Hedetniemi's conjecture remained an intriguing open problem until researchers found a counterexample in 2019.

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Despite the proof of many related cases, Hedetniemi's conjecture remained an intriguing open problem until researchers found a counterexample in 2019.

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