Block Split Subdivision Domination in Graphs

Authors

  • M. H. Muddebihal "GULBARGA UNIVERSITY "
  • P Shekanna research scholar, gulbarga university, gulbarga.
  • S. Ahmed Professor,Gulbarga university,GULBARGA.

DOI:

https://doi.org/10.3329/jsr.v7i3.22857

Keywords:

Domination, Subdivision graph, Block subdivision graph, Split domination number.

Abstract

A dominating set D ? V[BS(G)] is a split dominating set in [BS(G)] if the induced subgraph  ?V[BS(G)] - D? is disconnected in [BS(G)]. The split domination number of [BS(G)] is denoted by ?sbs(G), is the minimum cardinality of a split dominating  set in   [BS(G)]. In this paper, some results on ?sbs(G) were obtained interms of vertices, blocks and other different parameters of G but not the members of [BS(G)]. Further we develop its relationship with other different domination parameters of G.

 

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Author Biography

M. H. Muddebihal, "GULBARGA UNIVERSITY "

DEPARTMENT OF MATHEMATICS, PROFESSOR AND HEAD.

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Published

2015-09-01

How to Cite

Muddebihal, M. H., Shekanna, P., & Ahmed, S. (2015). Block Split Subdivision Domination in Graphs. Journal of Scientific Research, 7(3), 43–51. https://doi.org/10.3329/jsr.v7i3.22857

Issue

Vol. 7 No. 3 (2015)

Section

Section A: Physical and Mathematical Sciences

License

© Journal of Scientific Research

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