Complementary Eccentric Uniform Labeling Graphs

Authors

  • K. K. Usha PG Department of Mathematics, Pazhassi Raja N S S College, Mattanur 670702
  • K. A. Germina Department of Mathematics, Central University of Kerala, Kasaragod 671316

DOI:

https://doi.org/10.26713/jims.v8i3.405

Keywords:

CEU set, CEU number

Abstract

Given a graph \(G=(V,E)\), a set \(M\subset V\) is called Complementary Eccentric Uniform (CEU), if the \(M\)-eccentricity labeling \(e_M(u)=\max\{d(u,v):v\in M\}\) is identical for all \(u\in V-M\). The least cardinality of a CEU set is called the CEU number of the graph \(G\). In this paper we initiate a study on CEU labelled graphs and obtain bounds for certain graphs.

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References

C. Berge, Graphs and Hypergraphs, North-Holland, Amsterdam (1973).

F. Buckley and F. Harary, Distance in Graphs, Addison Wesley Publishing Company (1990).

G. Chartrand and P. Zhang, Introduction to Graph Theory, McGraw-Hill International Edition, Singapore (2005).

C. Gavoille, D. Peleg, S. Perennes and R. Raz, Distance labeling in graphs, Journal of Algorithms 53 (2004), 85–112.

F. Harary, Graph Theory, Addison-Wesley Publishing Company, Massachusetts (1969).

K.R. Parthasarathy and R. Nandakumar, Unique eccentric point graphs, Discrete Mathematics 46 (1983), 69–74.

L. Lesniak, Eccentric sequences in graphs, Period. Math. Hung. 6 (1975), 287–293.

F.W. Takes and W.A. Kosters, Computing the eccentricity distribution of large graphs, Algorithms 6 (2013), 100–118.

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Published

2016-11-09
CITATION

How to Cite

Usha, K. K., & Germina, K. A. (2016). Complementary Eccentric Uniform Labeling Graphs. Journal of Informatics and Mathematical Sciences, 8(3), 175–181. https://doi.org/10.26713/jims.v8i3.405

Issue

Vol. 8 No. 3 (2016)

Section

Research Articles

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