Research Article

Some Properties of Cartesian Product Graphs of Cayley Graphs with Arithmetic Graphs

by  S. Uma Maheswari, B. Maheswari
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 138 - Issue 3
Published: March 2016
Authors: S. Uma Maheswari, B. Maheswari
10.5120/ijca2016908742
PDF

S. Uma Maheswari, B. Maheswari . Some Properties of Cartesian Product Graphs of Cayley Graphs with Arithmetic Graphs. International Journal of Computer Applications. 138, 3 (March 2016), 26-29. DOI=10.5120/ijca2016908742

                        @article{ 10.5120/ijca2016908742,
                        author  = { S. Uma Maheswari,B. Maheswari },
                        title   = { Some Properties of Cartesian Product Graphs of Cayley Graphs with Arithmetic Graphs },
                        journal = { International Journal of Computer Applications },
                        year    = { 2016 },
                        volume  = { 138 },
                        number  = { 3 },
                        pages   = { 26-29 },
                        doi     = { 10.5120/ijca2016908742 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2016
                        %A S. Uma Maheswari
                        %A B. Maheswari
                        %T Some Properties of Cartesian Product Graphs of Cayley Graphs with Arithmetic Graphs%T 
                        %J International Journal of Computer Applications
                        %V 138
                        %N 3
                        %P 26-29
                        %R 10.5120/ijca2016908742
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

Nathanson was the pioneer in introducing the concepts of Number Theory, particularly, the “Theory of Congruences” in Graph Theory. Thus he paved the way for the emergence of a new class of graphs, namely “Arithmetic Graphs”. Cayley graphs are another class of graphs associated with the elements of a group. If this group is associated with some arithmetic function then the Cayley graph becomes an Arithmetic graph. Graph product is a fundamental tool with rich applications in both graph theory and theoretical computer science. The extensive literature on products that has evolved over the years presents a wealth of profound and beautiful results. In this paper, results related to some properties of Cartesian product graphs of Euler totient Cayley graphs with Arithmetic

References
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Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Euler totient Cayley graph Arithmetic

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