α - Domination in Fuzzy graphs

Author & Affiliation:
S.K. Ayyasamy (sjcayya@yahoo.co.in)
Department of Mathematics, SASTRA University, Thirumalaisamudram, Thanjavur - 613 402 (Tamil Nadu ) INDIA)
C. Natarajan (natarajan_c@maths.sastra.educ
Department of Mathematics, SASTRA University, Thirumalaisamudram, Thanjavur - 613 402 (Tamil Nadu ) INDIA)
Keyword:
Fuzzy graphs, fuzzy domination, a - domination, a - fuzzy dominating set
Issue Date:
April 2010
Abstract:

In this paper we introduce the concept of a- domination in fuzzy graphs. We determine the a- fuzzy domination number  for fuzzy graphs and obtain bounds for the same. This paper also contains many counter examples especially to show that Nordhaus Gaddum type result need not be true not only for fuzzy graphs but also for crisp graphs.
 

Pages:
179-186
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
jusps-A
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Copy the following to cite this article:

S. Ayyasamy; C. Natarajan, "α - Domination in Fuzzy graphs", Journal of Ultra Scientist of Physical Sciences, Volume 22, Issue 1, Page Number 179-186, 2018

Copy the following to cite this URL:

S. Ayyasamy; C. Natarajan, "α - Domination in Fuzzy graphs", Journal of Ultra Scientist of Physical Sciences, Volume 22, Issue 1, Page Number 179-186, 2018

Available from: https://www.ultrascientist.org/paper/1042/

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