Title of article
Bounding in terms of and for some classes of graphs
Author/Authors
Aravind، نويسنده , , N.R. and Karthick، نويسنده , , T. and Subramanian، نويسنده , , C.R.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
10
From page
911
To page
920
Abstract
Reed [B. Reed, ω , Δ and χ , Journal of Graph Theory, 27 (1998) 177–212] conjectured that for any graph G , χ ( G ) ≤ ⌈ Δ ( G ) + ω ( G ) + 1 2 ⌉ , where χ ( G ) , ω ( G ) , and Δ ( G ) respectively denote the chromatic number, the clique number and the maximum degree of G . In this paper, we verify this conjecture for some special classes of graphs which are defined by families of forbidden induced subgraphs.
Keywords
chromatic number , maximum degree , Vertex coloring , clique number
Journal title
Discrete Mathematics
Serial Year
2011
Journal title
Discrete Mathematics
Record number
1599600
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