Support Strong Degree Sequence in Fuzzy Graphs

Authors

  • K. M. Dharmalingam M. Revathi

DOI:

https://doi.org/10.15520/ajcem.2015.vol4.iss2.25.pp24-26.

Abstract

Let G=( ) be a fuzzy graph. Let u be an element of V. Let . The fuzzy support of u is defined as the sum of the neighbourhood degrees of the elements in N(u).Then the fuzzy support strong degree of

u= It is denoted by degs f(supp) (u). Arrange the support strong degrees of vertices of G in descending order. Let (d1,d2,……,dn) with di≥di+1 be the fuzzy support strong degree sequence of G. In this research work we introduce the concept of support strong degree sequence in fuzzy graphs.  The fuzzy support of a vertex is defined and domination based on the fuzzy support is considered. Several results involving this new fuzzy domination parameter are established.

Author Biography

K. M. Dharmalingam M. Revathi

Department of Mathematics, The Madura College , Madurai

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Published

2015-04-30

How to Cite

M. Revathi, K. M. D. (2015). Support Strong Degree Sequence in Fuzzy Graphs. Asian Journal of Current Engineering and Maths, 4(2), 24–26. https://doi.org/10.15520/ajcem.2015.vol4.iss2.25.pp24-26.

Issue

Asian Journal of Current Engineering and Maths

Section

Mathematics

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