Bounds for the \(b\)-chromatic number of \(G-v\)

DOI10.1016/j.dam.2011.08.022zbMath1277.05055OpenAlexW2273535957MaRDI QIDQ385136

S. Francis Raj, R. Balakrishnan

Publication date: 29 November 2013

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2011.08.022

zbMATH Keywords

\(b\)-chromatic number

Mathematics Subject Classification ID

Coloring of graphs and hypergraphs (05C15)

Related Items (12)

A characterization of \(b\)-chromatic and partial Grundy numbers by induced subgraphs ⋮ Bounds for the \(b\)-chromatic number of subgraphs and edge-deleted subgraphs ⋮ The \(b\)-chromatic number and related topics -- a survey ⋮ On the \(b\)-chromatic number of regular graphs without 4-cycle ⋮ \(b\)-chromatic numbers of powers of paths and cycles ⋮ A matheuristic approach for the \(b\)-coloring problem using integer programming and a multi-start multi-greedy randomized metaheuristic ⋮ Hybrid evolutionary algorithm for the b-chromatic number ⋮ On \(b\)-coloring of powers of hypercubes ⋮ \(b\)-chromatic number of Cartesian product of some families of graphs ⋮ The \(b\)-chromatic index of a graph ⋮ The \(b\)-chromatic index of direct product of graphs ⋮ On the \(b\)-chromatic number of regular bounded graphs

Cites Work

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• The b-chromatic number of cubic graphs
• Graph with given achromatic number
• The b-chromatic number of a graph
• On approximating the b-chromatic number
• Achromatic number is NP-complete for cographs and interval graphs
• Some bounds for the \(b\)-chromatic number of a graph
• On the \(b\)-continuity property of graphs
• Bounds for the b-chromatic number of some families of graphs
• On the \(b\)-dominating coloring of graphs
• About the b-continuity of graphs
• Achromatic numbers of random graphs
• The achromatic number of a graph

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