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ArticleOriginal scientific text

Title

Fractional distance domination in graphs

Authors 1, 2, 3, 1

Affiliations

  1. National Centre for Advanced Research in Discrete Mathematics (n-CARDMATH), Kalasalingam University, Anand Nagar, Krishnankoil-626 126, India
  2. School of Electrical Engineering and Computer Science, The University of Newcastle, NSW 2308, Australia
  3. Department of Mathematics, Mar Thoma College, Tiruvalla-689 103, India

Abstract

Let G = (V,E) be a connected graph and let k be a positive integer with k ≤ rad(G). A subset D ⊆ V is called a distance k-dominating set of G if for every v ∈ V - D, there exists a vertex u ∈ D such that d(u,v) ≤ k. In this paper we study the fractional version of distance k-domination and related parameters.

Keywords

ENG
domination, distance k-domination, distance k-dominating function, k-packing, fractional distance k-domination

Bibliography

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Discussiones Mathematicae Graph Theory
2012/32/3
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Pages:
449-459
Main language of publication
English
Received
2010-12-22
Accepted
2011-08-12
Published
2012

DOI: 10.7151/dmgt.1609

Exact and natural sciences