I want more than one example on this topic Definition 7.6.3 Let G be an interval-valued fuzzy graph. The closed neighborhood degree of x in G is defined by deg[x] = [degμ-[x], deg₁+[x]], where deg-[x] = deg-(x) + µÃ (x) deg+[x] = deg₁+ (x) + 쵆(x). If all the vertices have the same closed neighborhood degree m, then m is called a m-totally regular interval-valued fuzzy graph. Example 7.6.5 Consider a graph G* such that V = {V₁, V2, V3), E = {V₁ V2, V1V3}. Let A be an interval-valued fuzzy subset of V and let B be an interval-valued fuzzy subset of E defined by VI V2 V3 V1 V2 V1 V3 0.2 0.2 0.4 0.7 0.6 0.4 0.8 0.7 HB 0.3 0.4 It is easily shown that the interval-valued fuzzy graph G is neither regular nor totally regular.
I want more than one example on this topic Definition 7.6.3 Let G be an interval-valued fuzzy graph. The closed neighborhood degree of x in G is defined by deg[x] = [degμ-[x], deg₁+[x]], where deg-[x] = deg-(x) + µÃ (x) deg+[x] = deg₁+ (x) + 쵆(x). If all the vertices have the same closed neighborhood degree m, then m is called a m-totally regular interval-valued fuzzy graph. Example 7.6.5 Consider a graph G* such that V = {V₁, V2, V3), E = {V₁ V2, V1V3}. Let A be an interval-valued fuzzy subset of V and let B be an interval-valued fuzzy subset of E defined by VI V2 V3 V1 V2 V1 V3 0.2 0.2 0.4 0.7 0.6 0.4 0.8 0.7 HB 0.3 0.4 It is easily shown that the interval-valued fuzzy graph G is neither regular nor totally regular.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 36EQ
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