Research Article

Square Sum Labeling For Some Middle and Total Graphs

by  J.Shiama
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 37 - Issue 4
Published: January 2012
Authors: J.Shiama
10.5120/4594-6548
PDF

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 },
                        year    = { 2012 },
                        volume  = { 37 },
                        number  = { 4 },
                        pages   = { 6-8 },
                        doi     = { 10.5120/4594-6548 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2012
                        %A J.Shiama
                        %T Square Sum Labeling For Some Middle and Total Graphs%T 
                        %J International Journal of Computer Applications
                        %V 37
                        %N 4
                        %P 6-8
                        %R 10.5120/4594-6548
                        %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
  • 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.
  • 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
  • Square sum labeling by K.A.Germina
  • D B West, Introduction to Graph Theory, Prentice-Hall, India,2001
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Middle graph Total graph square sum labeling

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