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Tight bounds on the complexity of semi-equitable coloring of cubic and subcubic graphs

Abstract

We consider the complexity of semi-equitable k-coloring, k>3, of the vertices of a cubic or subcubic graph G. In particular, we show that, given a n-vertex subcubic graph G, it is NP-complete to obtain a semi-equitable k-coloring of G whose non-equitable color class is of size s if s>n/3, and it is polynomially solvable if s, n/3.

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DOI:
Digital Object Identifier (open in new tab) 10.1016/j.dam.2017.12.002
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Copyright (2017 Elsevier B.V)

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
DISCRETE APPLIED MATHEMATICS no. 237, pages 116 - 122,
ISSN: 0166-218X
Language:
English
Publication year:
2018
Bibliographic description:
Furmańczyk H., Kubale M.: Tight bounds on the complexity of semi-equitable coloring of cubic and subcubic graphs// DISCRETE APPLIED MATHEMATICS. -Vol. 237, (2018), s.116-122
DOI:
Digital Object Identifier (open in new tab) 10.1016/j.dam.2017.12.002
Verified by:
Gdańsk University of Technology

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