1-Harmonious coloring of triangular snakes

Akhlak Mansuri; Rohit Mehta; R. S. Chandel

doi:10.26637/MJM0804/0135

Abstract

In this article, we discuss the 1-harmonious coloring and investigate the 1-harmonious chromatic number of triangular snakes and alternate triangular snakes. We also find some relations between the 1-harmonious chromatic number of triangular snakes and alternate triangular snakes.

Keywords:

1-harmonious coloring, triangular snakes,, alternate triangular snakes

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Akhlak Mansuri Department of Mathematics, Government Girls College, Mandsaur (M.P.) India.
Rohit Mehta Department of Mathematics, Radharaman Engineering College, Bhopal (M.P.) India.
R. S. Chandel Department of Mathematics, Government Geetanjali Girls College, Bhopal (M.P.) India.

Pages: 2116-2126
Date Published: 01-10-2020
Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

J. A. Bondy and U.S.R. Murty, Graph Theory with Applications, London, MacMillan, 1976.

J. A. Gallian, A Dynamic survey of graph labeling, The Electronic Journal of Combinatorics, (2019), #DS6.

P. Jeyanthi, A. Maheswari and M. VijayaLakshmi, 3Product cordial labeling of some snake graphs, Proyecciones J. Math., 38(1)(2019), 13-30.

J. Liu, M. Arockiaraj and A. Nelson, Tight Bounds on 1-Harmonious Coloring of Certain Graphs, Symmetry, 11(2019), 917.

R. Ponraj and S. S. Narayanan, Difference Cordiality of Some Snake Graphs obtained from double alternate snake graphs, Global J. Math. Sciences: Theory and Practical, (5)(2013), 167-175.

R. Ponraj and S. S. Narayanan, Difference Cordiality of Some Snake Graphs, J. Appl. Math.& Informatics, 32(34)(2014), 377-387.

R. Ponraj and S. S. Narayanan, Difference Cordiality of Some derived Graphs, J. Math. Combin, (4)(2013), 37-48.

R. Ponraj and S. S. Narayanan, Difference Cordial labeling of Graphs graphs obtained from triangular snakes, Applications Applied Math., 9(2)(2014), 811-825.

N. B. Rathod and K. K. Kanani, V4-cordial labeling of some alternate triangular snake related graphs, National Level Science Symposium, Organized by Christ College, Rajkot, Sponsored, February 14, (2016).

M.S.F.T. Selvi, Harmonious coloring of central graphs of certain snake graphs, Appl. Math. Sci., (9)(2015), 569578.

Y. Xi, Y. Yang, and L. Wang, On harmonious labeling of the double triangular snake, Indian J. Pure Appl. Math., (39)(2008), 177-184.

D. Xu, Harmonicity of triangular snakes, J. Math. Res. Exposition, (15)(1995), 475-476.