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DEGREE OF VERTICES IN VAGUE GRAPHS
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 Title & Authors
DEGREE OF VERTICES IN VAGUE GRAPHS
BORZOOEI, R.A.; RASHMANLOU, HOSSEIN;
 
 Abstract
A vague graph is a generalized structure of a fuzzy graph that gives more precision, flexibility and compatibility to a system when compared with systems that are designed using fuzzy graphs. In this paper, we define two new operation on vague graphs namely normal product and tensor product and study about the degree of a vertex in vague graphs which are obtained from two given vague graphs G1 and G2 using the operations cartesian product, composition, tensor product and normal product. These operations are highly utilized by computer science, geometry, algebra, number theory and operation research. In addition to the existing operations these properties will also be helpful to study large vague graph as a combination of small, vague graphs and to derive its properties from those of the smaller ones.
 Keywords
Cartesian product;tensor product;composition;normal product;
 Language
English
 Cited by
1.
Semi global domination sets in vague graphs with application, Journal of Intelligent & Fuzzy Systems, 2016, 30, 6, 3645  crossref(new windwow)
2.
Regularity of vague graphs, Journal of Intelligent & Fuzzy Systems, 2016, 30, 6, 3681  crossref(new windwow)
3.
New concepts of vague competition graphs, Journal of Intelligent & Fuzzy Systems, 2016, 31, 1, 69  crossref(new windwow)
4.
Faces and dual of m-polar fuzzy planar graphs, Journal of Intelligent & Fuzzy Systems, 2016, 31, 3, 2043  crossref(new windwow)
5.
Regular product vague graphs and product vague line graphs, Cogent Mathematics, 2016, 3, 1  crossref(new windwow)
6.
Properties of interval valued intuitionistic (S,T) – Fuzzy graphs, Pacific Science Review A: Natural Science and Engineering, 2016, 18, 1, 30  crossref(new windwow)
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