Research Article
Square Difference Labeling for Some Graphs
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 44 - Issue 4 |
| Published: April 2012 |
| Authors: J. Shiama |
10.5120/6253-8399
|
J. Shiama . Square Difference Labeling for Some Graphs. International Journal of Computer Applications. 44, 4 (April 2012), 30-33. DOI=10.5120/6253-8399
@article{ 10.5120/6253-8399,
author = { J. Shiama },
title = { Square Difference Labeling for Some Graphs },
journal = { International Journal of Computer Applications },
year = { 2012 },
volume = { 44 },
number = { 4 },
pages = { 30-33 },
doi = { 10.5120/6253-8399 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2012
%A J. Shiama
%T Square Difference Labeling for Some Graphs%T
%J International Journal of Computer Applications
%V 44
%N 4
%P 30-33
%R 10.5120/6253-8399
%I Foundation of Computer Science (FCS), NY, USA
Abstract
Here I define a new labeling and a new graph called square difference labeling and the square difference graph. Let G be a (p, q) graph. G is said to be a square difference graph if there exists a bijection f: V(G) ?{ 0,1, …. , p-1} such that the induced function f* : E(G) ? N given by f*(uv) = | [f(u)]2 - [f(v)]2| for every uv ? E(G) are all distinct. A graph which admits square difference labeling is called square difference graph. In this paper I discussed the square difference labeling is admitted for some graphs like cycles, complete graphs, cycle cactus, ladder, lattice grids, wheels, quadrilateral snakes, the graph G = K2 + m K1.
References
- V. Ajitha, S. Arumugam and K. A. Germina "On Square sum graphs" AKCE J. Graphs, Combin, 6(2006) 1- 10
- L. Beineke and S. M. Hegde, Strongly multiplicative graphs, Discuss. Math. Graph theory, 21(2001), 63- 75.
- Frank Harrary, Graph theory, Narosa Publishing House- (2001).
- J A Gallian, A dynamic survey of graph labeling, The Electronics journal of Combinatories, 17(2010) # DS6
- Gary Chartrnd, Ping Zhang, Introduction to Graph theory, McGraw- Hill International Edition
- J. Shiama" Square sum labeling for some middle and total graphs" International Journal of Computer Applications (0975-08887) Volume 37- No. 4 January 2012
- J. Shiama "Permutation labeling for some shadow graphs" International Journal of Computer Application (0975- 8887) Volume 40- No. 6 February 2012
- J. Shiama "Permutation labeling for some splitting graphs" Proceedings of the National Conference on Mathematical Modeling and Simulation. NCMS'12 11th Feb. 2012 , by Vinayaka missions.
- D B West, Introduction to Graph Theory, Prentice-Hall, India, 2001
Index Terms
Keywords