On Minimal and Vertex Minimal Dominating Graph

Authors

  • B. Basavanagoud Department of Mathematics, Karnatak University, Dharwad 580 003, India
  • I. M. Teredhahalli Department of Mathematics, Karnatak University, Dharwad 580 003, India

DOI:

https://doi.org/10.26713/jims.v1i2%20&%203.17

Keywords:

Graphs, dominating set, domination number, minimal dominating set, vertex minimal dominating set

Abstract

In this paper, we obtain the bounds on the number of edges, vertices, domatic number, and domination number of the minimal dominating graph and vertex minimal dominating graph of a graph $G$.

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CITATION

How to Cite

Basavanagoud, B., & Teredhahalli, I. M. (2009). On Minimal and Vertex Minimal Dominating Graph. Journal of Informatics and Mathematical Sciences, 1(2 & 3), 139–146. https://doi.org/10.26713/jims.v1i2 & 3.17

Issue

Vol. 1 No. 2 & 3 (2009)

Section

Research Articles

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