Research Article

Total Edge Irregularity Strength of Butterfly Networks

by  Indra Rajasingh, Bharati Rajan, S. Teresa Arockiamary
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 49 - Issue 3
Published: July 2012
Authors: Indra Rajasingh, Bharati Rajan, S. Teresa Arockiamary
10.5120/7607-0642
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Indra Rajasingh, Bharati Rajan, S. Teresa Arockiamary . Total Edge Irregularity Strength of Butterfly Networks. International Journal of Computer Applications. 49, 3 (July 2012), 19-22. DOI=10.5120/7607-0642

                        @article{ 10.5120/7607-0642,
                        author  = { Indra Rajasingh,Bharati Rajan,S. Teresa Arockiamary },
                        title   = { Total Edge Irregularity Strength of Butterfly Networks },
                        journal = { International Journal of Computer Applications },
                        year    = { 2012 },
                        volume  = { 49 },
                        number  = { 3 },
                        pages   = { 19-22 },
                        doi     = { 10.5120/7607-0642 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2012
                        %A Indra Rajasingh
                        %A Bharati Rajan
                        %A S. Teresa Arockiamary
                        %T Total Edge Irregularity Strength of Butterfly Networks%T 
                        %J International Journal of Computer Applications
                        %V 49
                        %N 3
                        %P 19-22
                        %R 10.5120/7607-0642
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

Given a graph G (V, E) a labeling ¶: VÈE®{1, 2… k} is called an edge irregular total k-labeling if for every pair of distinct edges uv and xy, ¶(u) + ¶(uv) + ¶(v) ¹ ¶(x) + ¶(xy) + ¶(y). The minimum k for which G has an edge irregular total k-labeling is called the total edge irregularity strength of G. In this paper we examine the butterfly network which is a well known interconnection network, and obtain its total edge irregularity strength.

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

Irregular Total Labeling Interconnection Networks Butterfly Networks Labeling Irregularity strength

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