On a recolouring version of Hadwiger's conjecture

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-30 DOI:10.1016/j.jctb.2023.10.001

Marthe Bonamy , Marc Heinrich , Clément Legrand-Duchesne , Jonathan Narboni

引用次数: 0

Abstract

We prove that for any $ε > 0$ , for any large enough t, there is a graph that admits no $K_{t}$ -minor but admits a $(\frac{3}{2} - ε) t$ -colouring that is “frozen” with respect to Kempe changes, i.e. any two colour classes induce a connected component. This disproves three conjectures of Las Vergnas and Meyniel from 1981.

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关于Hadwiger猜想的一个变色版本

我们证明了对于任何ε>；0，对于任何足够大的t，有一个图不允许Kt小调，但允许相对于Kempe变化“冻结”的（32-ε）t-染色，即任何两个色类都会诱导一个连通分量。这推翻了Las Vergnas和Meyniel 1981年的三个猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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