New Results on Open Support of Graphs under
Addition

Amin Li; Shufei Wu

doi:https://doi.org/10.14445/22315373/IJMTT-V68I2P506

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 2 | Year 2022 | Article Id. IJMTT-V68I2P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I2P506

New Results on Open Support of Graphs under Addition

Amin Li, Shufei Wu

Citation :

Amin Li, Shufei Wu, "New Results on Open Support of Graphs under Addition," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 2, pp. 32-42, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I2P506

Abstract

Let G = (V, E) be a graph. For each v ε V, the open support of v under addition, denoted by supp(v), is the sum of degrees of vertices adjacent to v. The open support of G under addition is the sum of supports of all its vertices. In this paper, we determined the open support of some special types of graphs. We also defined the open support of an edge under addition and showed its connection with the open support of a G.

Keywords

Open support, Neighborhood, Degree, Adjacency matrix, Incidence matrix

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