Open AccessHarmonious coloring on double star graph families
Author(s) -
Vernold Vivin.J,
M. Venkatachalam,
K. Kaliraj
Publication year - 2012
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.43.2012.675
Subject(s) - mathematics , achromatic lens , combinatorics , chromatic scale , star (game theory) , graph , windmill graph , graph coloring , discrete mathematics , line graph , graph power , physics , astronomy , mathematical analysis
In this present paper, we have proved for the line graph of double star graph, the harmonious chromatic number and the achromatic number are equal. As a motivation this work can be extended by classifying the different families of graphs for which these two numbers are equal