Extremal Values and Rankings of the Gutman Index of the Extended Double Stars

Feng, Mengmeng; Wang, Kelun; Wang, Deqiang

doi:10.2991/ammsa-17.2017.76

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2023

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“…Because the circle graph has good structural characteristics, its various topological problems have been favored by scholars. In recent years, various topological indexes of double circle graphs have been widely studied and discussed (some results in literature [5][6][7][8]). In this paper, we review the recent studies on the topological indexes of double circle graphs, and find that the study on Gutman-Index of the concurrent and double circle graph is still blank.…”

Section: Introductionmentioning

confidence: 99%

The Gutman-index of the concurrent and double circle graph

Feng¹,

Long²,

Dai³

et al. 2023

3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023)

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As a topological index closely related to the physical, chemical and biological properties of compounds, graph indexes have been concerned and studied by scholars. This paper defined the concept of " Level-Contribution " from the view of degree and distance. On the basis of this, we studied the Vertex-Gutman-Index and Graph-Gutman-Index of the concurrent and double circle graph, and obtained the extremal values of the Vertex-Gutman of the vertices and extremal graphs of the Graph-Gutman-Index of the concurrent and double circle graph.

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Section: Introductionmentioning

confidence: 99%