Group edge choosability of planar graphs without adjacent short cycles

DOI10.1007/S10114-013-2531-3zbMath1274.05117arXiv1102.4980OpenAlexW1959802414MaRDI QIDQ381084

Gui Zhen Liu, Xin Zhang

Publication date: 15 November 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4980

zbMATH Keywords

planar graphsgirthlist coloringshort cyclesgroup edge coloring

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coloring of graphs and hypergraphs (05C15)

Cites Work

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• A note on group choosability of graphs with girth at least 4
• Planar graphs with maximum degree \(\Delta \geq 9\) are \((\Delta +1)\)-edge-choosable--a short proof
• Edge-choosability of planar graphs without adjacent triangles or without 7-cycles
• Group connectivity of graphs --- a nonhomogeneous analogue of nowhere-zero flow properties
• Group chromatic number of graphs without \(K_5\)-minors
• On group choosability of graphs. II
• An inequality for the group chromatic number of a graph
• Mathematical Foundations of Computer Science 2004
• A note on group colorings

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