ON HARMONIOUS CHROMATIC NUMBER OF C(Tm,n ), M(Tm,n ), C(L(Tm,n ) AND M(L(Tm,n ))
By
Akhlak Mansuri1 and R. S. Chandel2
Department of Mathematics
1Government Girls College, Mandsaur, Madhya Pradesh, India-458001
2Government Geetanjali Girls College, Bhopal, Madhya Pradesh, India-462001
Email: 1akhlaakmansuri@gmail.com, 2rs chandel2009@yahoo.co.in
(Received: December 11, 2020; In format : May 13, 2021; Revised : November 25, 2023; Accepted : November 28, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53230
Abstract
In this paper, we discuss the harmonious coloring and investigate the harmonious chromatic number of central and middle graph of tadpole graph and harmonious chromatic number of central and middle graph of line graph of tadpole graph, denoted by H(C(Tm,n )), H(M(Tm,n )) and H(C(L(Tm,n ))), H(M(L(Tm,n ))) respectively.
2020 Mathematical Sciences Classification: 05C15, 05C76
Keywords and Phrases: Harmonious coloring, Harmonious chromatic number, Central graph, Middle graph, Line graph and Tadpole graph.