Titlebook: Extended Abstracts EuroComb 2021; European Conference Jaroslav Ne?et?il,Guillem Perarnau,Oriol Serra Conference proceedings 2021 The Edito

MEN

2297-0215 s in this conference.Collects the extended abstracts of the .This book collects the extended abstracts of the accepted contributions to EuroComb21. A similar book is published at every edition of EuroComb (every two years since 2001) collecting the most recent advances in combinatorics, graph theory

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得意牛

The True, the Good and the Beautiful,sibly depending on .). We first consider the case when . is a random geometric graph, and obtain an asymptotically optimal result. We then consider the case when . is a random regular graph, and obtain different results depending on the regularity.

BAN

柱廊

調(diào)色板

https://doi.org/10.1007/978-3-476-99688-6f this result by presenting another construction . and showing that any .-vertex, connected, .-uniform hypergraph without a Berge-path of length ., that contains more than . hyperedges must be a subhypergraph of the extremal hypergraph ., provided . is large enough compared to ..

他去就結(jié)束

Some Results on the Laplacian Spectra of Token Graphs,. such that ., the Laplacian spectrum of . is contained in the Laplacian spectrum of .. Besides, we obtain a relationship between the spectra of the .-token graph of . and the .-token graph of its complement .. This generalizes a well-known property for Laplacian eigenvalues of graphs to token graphs.

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Capitulate

Christian Korunka,Bettina Kubicek of pseudocircles. Furthermore, we construct an infinite family of 4-edge-critical 4-regular planar graphs which are fractionally 3-colorable. This disproves the conjecture of Gimbel, Kündgen, Li and Thomassen (2019) that every 4-chromatic planar graph has fractional chromatic number strictly greater than?3.

殘忍

Coloring Circle Arrangements: New 4-Chromatic Planar Graphs, of pseudocircles. Furthermore, we construct an infinite family of 4-edge-critical 4-regular planar graphs which are fractionally 3-colorable. This disproves the conjecture of Gimbel, Kündgen, Li and Thomassen (2019) that every 4-chromatic planar graph has fractional chromatic number strictly greater than?3.