Double quadrilateral snakes on k-odd sequential harmonious labeling of graphs

Dr. A. Manonmania,* and R. Savithirib

Double quadrilateral snakes on k-odd sequential harmonious labeling of graphs

Authors :

Dr. A. Manonmani^a,* and R. Savithiri^b

Author Address :

^a;bDepartment of Mathematics, LRG Government Arts College for Women, Tirupur-641604, Tamil Nadu, India.

*Corresponding author.

Abstract :

The objective of this paper is to investigate some $k$-odd sequential harmonious labeling of graphs. In particular, we show that $k$-odd sequential harmonious labeling of double quadrilateral snakes (2$Q_x$-snakes) for each $x \geq 1$. We also prove that, $2mQ_x$-snakes are $k$-odd sequential harmonious labeling of graphs for each $m,x \geq 1$. Finally, we present some examples and verified to illustrate proposed theories.

Keywords :

Labeling, Harmonious, k-odd sequential harmonious, Double quadrilateral snake.

DOI :

Article Info :

Received : August 10, 2015; Accepted : November 23, 2015.