IJPAM: Volume 107, No. 3 (2016)

GRACEFUL LABELING OF
HANGING MODIFIED THETA GRAPHS

G. Sathiamoorthy$^1$, T.N. Janakiraman$^2$
$^1$Department of Mathematics
School of Humanities and Sciences
SASTRA University
INDIA
$^2$Department of Mathematics
National Institute of Technology
Tiruchirappalli, INDIA


Abstract. Hanging modified theta graphs are obtained from attaching a modified theta graph to each teeth of comb graph P$_{a_{i}}$ $\odot$ L$_{1}$, where P$_{a_{i}}$ denotes a path on a$_{i}$ vertices. In this paper it is proved that symmetric hanging modified theta graphs and non-decreasing symmetric hanging modified theta graphs are graceful.

Received: January 20, 2016

AMS Subject Classification: 05C78

Key Words and Phrases: graceful labeling, theta graph, modified theta graph

Download paper from here.



DOI: 10.12732/ijpam.v107i3.17 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 3
Pages: 691 - 698


Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).