Coloring of character graphs

DOI10.1080/00927872.2016.1175588zbMath1359.05038OpenAlexW2530438014MaRDI QIDQ2978258

Mahdi Ebrahimi, Ali Iranmanesh

Publication date: 21 April 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2016.1175588

zbMATH Keywords

chromatic numbersolvable groupcharacter graph

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Coloring of graphs and hypergraphs (05C15) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Cites Work

• Regular character degree graphs.
• An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.
• On the character degree graph of solvable groups. I: Three primes
• Hamiltonian character graphs
• Normal \(p\)-complements and irreducible characters
• A solvable group whose character degree graph has diameter $3$
• Degree problems II π - separable character degrees
• SOLVABLE GROUPS WITH CHARACTER DEGREE GRAPHS HAVING 5 VERTICES AND DIAMETER 3
• On Graphs Associated with Character Degrees and Conjugacy Class Sizes of Direct Products of Finite Groups
• Character Degree Graphs of Solvable Groups of Fitting Height 2

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