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Title: | Note on b-colorings in Harary graphs |
Authors: | Zoham Zemiry , Noureddine Ikhlef Eschouf z |
Keywords: | Coloration b-coloring b-chromatic number. AMS Sub ject Classi…cation: 05C69. |
Issue Date: | 19-Dec-2013 |
Abstract: | A b-coloring is a coloring of the vertices of a graph such that each color class contains a vertex that has a neighbor in all other color classes. The b-chromatic number b(G) is the largest integer k such that G admits a b-coloring with k colors. In this note, according to the values taken by the order n of a graph, we determine exact values or bounds for the b-chromatic number of H2m;n which is the Harary graph Hk;n when k is even: Therefore our result improves the result concerning the b-chromatic of p-th power graphs of cycles and give a negative answer to the open problem of E¤antin and Kheddouci |
Description: | 7 ieme Colloque sur l Optimisation et les Systèmes d’Information COSI 2010 18-20 Avril 2010 |
URI: | http://hdl.handle.net/123456789/2950 |
ISSN: | kh |
Appears in Collections: | 1. Faculté des mathématiques et des sciences de la matière |
Files in This Item:
File | Description | Size | Format | |
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Zoham Zemir.pdf | 196,13 kB | Adobe PDF | View/Open |
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