On Vertex-Degree-Based Indices of Monogenic Semigroup Graphs

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Ikonion Journal of Mathematics
Volume:4 Issue:2
On Vertex-Degree-Based Indices of Monogenic Semigroup Graphs

On Vertex-Degree-Based Indices of Monogenic Semigroup Graphs

Pages : 12-20

View : 48 | Download : 11

Publication Date : 2022-12-31

Article Type : Research Paper

Abstract :Albertson and the reduced Sombor indices are vertex-degree-based graph invariants that given in [5] and [18], defined as Albinsert ignore into journalissuearticles values(G);=\\sum_{uv\\in Einsert ignore into journalissuearticles values(G);}\\left|d_{u}-d_{v}\\right|, SO_{red}insert ignore into journalissuearticles values(G);=\\sum_{uv\\in Einsert ignore into journalissuearticles values(G);}\\sqrt{insert ignore into journalissuearticles values(d_{u}-1);^{2}+insert ignore into journalissuearticles values(d_{v}-1);^{2}}, respectively. In this work we show that a calculation of Albertson and reduced Sombor index which are vertex-degree-based topological indices, over monogenic semigroup graphs.
Keywords : Monogenic semigroups, Graphs, Indices

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