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Reseach Article

Square Sum Labeling For Some Middle and Total Graphs

by J.Shiama
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 37 - Number 4
Year of Publication: 2012
Authors: J.Shiama
10.5120/4594-6548

J.Shiama . Square Sum Labeling For Some Middle and Total Graphs. International Journal of Computer Applications. 37, 4 ( January 2012), 6-8. DOI=10.5120/4594-6548

@article{ 10.5120/4594-6548,
author = { J.Shiama },
title = { Square Sum Labeling For Some Middle and Total Graphs },
journal = { International Journal of Computer Applications },
issue_date = { January 2012 },
volume = { 37 },
number = { 4 },
month = { January },
year = { 2012 },
issn = { 0975-8887 },
pages = { 6-8 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume37/number4/4594-6548/ },
doi = { 10.5120/4594-6548 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:23:24.574725+05:30
%A J.Shiama
%T Square Sum Labeling For Some Middle and Total Graphs
%J International Journal of Computer Applications
%@ 0975-8887
%V 37
%N 4
%P 6-8
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A (p, q) graph G is said to be a square sum graph if there exist a bijection f: V(G)->{0,1,2,….p-1} such that the induced function f*:E(G) -> N given by f*(u v) =[f*(u)]2 +[f*(v)]2 for every uv ∈ E(G) are all distinct. In this paper the square sum labeling of total graph of path Pn, cycle Cn and middle graph of path Pn , cycle Cn are discussed.

References
  1. Danuta Michalak, On middle and total graphs with coarseness number equal 1, Spinger Verlag Graph Theory, Lagow (1981) proceedings, Berlin heidelberg, New York, Tokyo, pp. 139-150.
  2. Frank Harrary, Graph theory, Narosa Publishing House- (2001).
  3. J A Gallian, A dynamic survey of graph labeling, The Electronics journal of Combinatories,17(2010) # DS6
  4. Square sum labeling by K.A.Germina
  5. D B West, Introduction to Graph Theory, Prentice-Hall, India,2001
Index Terms

Computer Science
Information Sciences

Keywords

Middle graph Total graph square sum labeling