Author/Authors :
ANTONI MUNTANER-BATLE, FRANCESC Graph Theory and Applications Research Group - School of Electrical Engineering and Computer Science - Faculty of Engineering and Built Environment - University of Newcastle, Australia , VIVIN J, VERNOLD Department of Mathematics - University College of Engineering Nagercoil - (Anna University Constituent College) - Nagercoil - Tamil Nadu, India , M, VENKATACHALAM PG and Research Department of Mathematics - Kongunadu Arts and Science College - G.N. Mills Post - Coimbatore - Tamil Nadu, India
Abstract :
In this paper, we find the harmonious chromatic number of multicopy of
complete graphs Kn. We generalize the result χH ((n + 2)Kn) >
n + 1
2
!
given in [8]
and also further improve the result to χH((n + 2)Kn) ≥
n + 1
2
!
+ 3, ∀ n > 8.
