WebStrong edge-colouring and induced matchings Hervé Hocquard a, Pascal Ochemb, Petru Valicov aLaBRI (Université Bordeaux 1), 351 cours de la Libération, 33405 Talence Cedex, France bLIRMM - CNRS, 161 rue Ada, 34095 Montpellier Cedex 5 France Abstract A strong edge-colouring of a graph G is a proper edge-colouring such that every path of three edges WebOn strong edge-colouring of subcubic graphs Hervé Hocquard a, Mickaël Montassier , André Raspaud , Petru Valicova aLaBRI (Université Bordeaux 1), 351 cours de la Libération, 33405 Talence Cedex, France Abstract A strong edge-colouring of a graph G is a proper edge-colouring such that every path of length 3
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WebBGW 2024 - October 28-31, 2024. BGW 2024 is the fifth edition of an international workshop on graph theory, organized by the LaBRI team Graphs and optimisation.The first edition was held in 2010 in honor of André Raspaud.. The aim of this workshop is to gather renowned researchers from the international graph community for a scientific meeting in a friendly … WebAug 24, 2024 · [Submitted on 24 Aug 2024 ( v1 ), last revised 18 May 2024 (this version, v2)] A proof of the Multiplicative 1-2-3 Conjecture Julien Bensmail (COATI), Hervé Hocquard (LaBRI), Dimitri Lajou (LaBRI), Éric Sopena (LaBRI) We prove that the product version of the 1-2-3 Conjecture, raised by Skowronek-Kazi {ó}w in 2012, is true. daughters recreating mothers pictures
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WebOpen Access Between proper and strong edge-colorings of subcubic graphs Herve Hocquard, Corresponding Author Herve Hocquard [email protected] orcid.org/0000-0001-8194-4684 CNRS, Bordeaux INP, LaBRI, University of Bordeaux, Talence, France WebH. Hocquard ( ) ·M. Montassier LaBRI, Université Bordeaux I, 33405 Talence Cedex, France e-mail: [email protected]. J Comb Optim (2013) 26:152–160 153 coloring (Akbari et al. 2006). Zhang et al. (2002) completely determined the avd-chromatic number for paths, cycles, trees, complete graphs, and complete bipartite WebJun 8, 2024 · In a proper edge-coloring the edges of every color form a matching. A matching is induced if the end-vertices of its edges induce a matching. A strong edge-coloring is an edge-coloring in which the edges of every color form an induced matching. We consider intermediate types of edge-colorings, where some of the colors are allowed to … bl844 leaf chain