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  • 标题:Some Results on Point Set Domination of Fuzzy Graphs
  • 本地全文:下载
  • 作者:S. Vimala ; J. S. Sathya
  • 期刊名称:Cybernetics and Information Technologies
  • 印刷版ISSN:1311-9702
  • 电子版ISSN:1314-4081
  • 出版年度:2013
  • 卷号:13
  • 期号:2
  • 页码:58
  • DOI:10.2478/cait-2013-0014
  • 出版社:Bulgarian Academy of Science
  • 摘要:Let 􀜩 be a fuzzy graph. Let γ􁈺􀜩􁈻, 􀟛􀯣􁈺􀜩􁈻 denote respectively the domination number, the point set domination number of a fuzzy graph. A dominating set D of a fuzzy graph is said to be a point set dominating set of a fuzzy graph if for every 􀜵􀙃􀜸􀵆􀜦 there exists a node 􀝀∈􀜦 such that 􀛃􀜵􀗫􁈼􀝀􁈽􀛄 is a connected fuzzy graph. The minimum cardinality taken over all minimal point set dominating set is called a point set domination number of a fuzzy graph G and it is denoted by 􀟛􀯣􁈺􀜩􁈻. In this paper we concentrate on the point set domination number of a fuzzy graph and obtain some bounds using the neighbourhood degree of fuzzy graphs.
  • 关键词:Fuzzy graph; fuzzy star; point set dominating set of a fuzzy graph.
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