Some Results on Equi Independent Equitable Dominating Sets in Graph

Authors

  • S. K. Vaidya Department of Mathematics Saurashtra University Rajkot-360 005 Gujarat India
  • N. J. Kothari Lecturer L. E. College Morbi -363642 Gujarat (INDIA)

DOI:

https://doi.org/10.3329/jsr.v7i3.23412

Keywords:

Equi independent equitable domination number, Equitable domination number, Domination number.

Abstract

A subset D of V(G) is called an equitable dominating set if for every ? ? V(G) - D, there exists a vertex u ? D such that u? ? E(G) and | deg(u) deg(?) | ? 1. A subset D of V(G) is called an equitable independent set if for any D of V(G), ? ? Ne(u) for all ? ? D - {u}where, Ne(u) = {? ? V(G)/? ? N(u), | deg(u) deg(?) | ? 1}. An equitable dominating set D is said to be an equi independent equitable dominating set if it is also an equitable independent set. The minimum cardinality of an equi independent equitable dominating set is called equi independent equitable domination number which is denoted by ie. We investigated an equi independent equitable domination number for some special graphs.

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Author Biographies

S. K. Vaidya, Department of Mathematics Saurashtra University Rajkot-360 005 Gujarat India

Professor

Deapartment of Mathematics

N. J. Kothari, Lecturer L. E. College Morbi -363642 Gujarat (INDIA)

Lecturer

L. E. College - Morbi

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Published

2015-09-01

How to Cite

Vaidya, S. K., & Kothari, N. J. (2015). Some Results on Equi Independent Equitable Dominating Sets in Graph. Journal of Scientific Research, 7(3), 77–85. https://doi.org/10.3329/jsr.v7i3.23412

Issue

Vol. 7 No. 3 (2015)

Section

Section A: Physical and Mathematical Sciences

License

© Journal of Scientific Research

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