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Theory of Computing Systems

, Volume 50, Issue 3, pp 537–544 | Cite as

Irregular Total Labellings of Generalized Petersen Graphs

  • Khandoker Mohammed Mominul Haque
Article

Abstract

The total edge irregularity strength tes(G) and total vertex irregularity strength tvs(G) are invariants analogous to irregular strength s(G) of a graph G for total labellings. Bača et al. (Discrete Math. 307:1378–1388, 2007) determined the bounds and precise values for some families of graphs concerning these parameters. In this paper, we show the exact values of the total edge irregularity strength and total vertex irregularity strength of generalized Petersen graphs P(n,k).

Keywords

Irregular total labelling Generalized Petersen graphs Total labelling 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of Computer Science and EngineeringShahjalal University of Science and TechnologySylhetBangladesh

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