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Short communication, Note

On ve-Degree Irregularity Indices

Abdulgani Şahin orcid id ; Agri Ibrahim Cecen University, Faculty of Science and Letters, Department of Mathematics, 04100, Ağrı, Turkey

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page 133-138

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In this paper, vertex-edge degrees (or simply, ve-degrees) of vertices in a graph are considered. The ve-degree of a vertex v in a graph equals to the number of different edges which are incident to a vertex from the closed neighborhood of v. The author introduces the ve-degree total irregularity index here and calculates this index for paths and double star graphs. Finally, the maximal trees are characterized with respect to the ve-degree total irregularity index.


ve-degre; Albertson index; ve-degree irregularity; ve-degree total irregularity

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