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Equitable coloring of corona products of graphs

Abstract

In this paper we consider an equitable coloring of some corona products of graphs G and H in symbols, G o H). In particular, we show that deciding the colorability of G o H is NP-complete even if G is 4-regular and H is K_2. Next, we prove exact values or upper bounds on the equitable chromatic number of G o H, where G is an equitably 3- or 4-colorable graph and H is an r-partite graph, a path, a cycle or a complete graph.

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Category:
Articles
Type:
artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
Published in:
Advances and Applications in Discrete Mathematics no. 11, pages 103 - 120,
ISSN: 0974-1658
Language:
English
Publication year:
2013
Bibliographic description:
Furmańczyk H., Kaliraj K., Kubale M., Vernold Vivin J.: Equitable coloring of corona products of graphs// Advances and Applications in Discrete Mathematics. -Vol. 11., nr. 2 (2013), s.103-120
Verified by:
Gdańsk University of Technology

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