Reformulated Reciprocal Degree Distance and Reciprocal Degree Distance of the Complement of the Mycielskian Graph and Generalized Mycielskian
MATHEMATICAL PROBLEMS IN ENGINEERING(2019)
摘要
The reformulated reciprocal degree distance is defined for a connected graph G as (R) over bar (t)(G) = (1/2) Sigma(u,upsilon is an element of V(G))((d(G)(u)+d(G)(upsilon))/(d(G)(u, upsilon)+t)), t >= 0, which can be viewed as a weight version of the t-Harary index; that is, (H) over bar (t)(G) = (1/2) Sigma(u,upsilon is an element of V(G))(1/(d(G)(u, upsilon)+t)), t >= 0. In this paper, we present the reciprocal degree distance index of the complement of Mycielskian graph and generalize the corresponding results to the generalized Mycielskian graph. Reformulated Reciprocal Degree Distance and Reciprocal Degree Distance of the Complement of the Mycielskian Graph and Generalized Mycielskian graph.
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