General Mathematics


Energy and Laplacian Energy of a Single Value Neutrosophic Graph

Authors: Sumera Naz, Hossein Rashmanlou, M. Aslam Malik

Single valued neutrosophic model as an instance of a neutrosophic model provide an additional possibility to represent imprecise, uncertainty, inconsistent and incomplete information which exist in real situations. In this paper, the concept of energy of a graph is introduced in the context of a single valued neutrosophic environment, where for each element the truth-membership, indeterminacy-membership and falsity-membership degree, in [0, 1], are independently assigned. Firstly, the novel concepts of energy of a single valued neutrosophic graph (SVNG) are proposed and their properties are investigated, then Laplacian energy of a SVNG is introduced. Between the properties of energy and Laplacian energy of a SVNG, there is a great deal of analogy, but also some significant differences.

Comments: 29 Pages.

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[v1] 2017-02-19 05:54:26

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