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On equitable colouring of Knödel graphs

Authors :
M. M. Akbar Ali
K. Kaliraj
J. Vernold Vivin
Source :
International Journal of Computer Mathematics. 91:1428-1433
Publication Year :
2013
Publisher :
Informa UK Limited, 2013.

Abstract

The notion of equitable colouring was introduced by Meyer in 1973. In this paper we find the equitable chromatic number χ= for the line graph of Knodel graphs L(WΔ, n), central graph of Knodel graphs C(WΔ, n) and corona graph of Knodel graphs WΔ, m° WΔ, n. As a by-product we obtain a new class of graphs that confirm Equitable Colouring Conjecture.

Details

ISSN :
10290265 and 00207160
Volume :
91
Database :
OpenAIRE
Journal :
International Journal of Computer Mathematics
Accession number :
edsair.doi...........637a7a79157a1c14d132e22e89438b18
Full Text :
https://doi.org/10.1080/00207160.2013.847181