TOSHA INDEX FOR GRAPHS
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A topological index of a chemical structure (graph) is a number that correlates the chemical structure with chemical reactivity or physical properties. There are several topological indices have been defined on graphs using degrees of vertices/edges, for instance first and second Zagreb indices. In this paper, we introduce a new topological index for graphs called Tosha index using tension on edges. Further, we establish some inequalities and compute Tosha index for some standard graphs.
Abstract
A topological index of a chemical structure (graph) is a number that correlates the chemical structure with chemical reactivity or physical properties. There are several topological indices have been defined on graphs using degrees of vertices/edges, for instance first and second Zagreb indices. In this paper, we introduce a new topological index for graphs called Tosha index using tension on edges. Further, we establish some inequalities and compute Tosha index for some standard graphs.
참고문헌 (10)
- F. Harary, "Graph theory" (1972), Addison Wesley
- K. Bhargava, "Tension on an edge in a graph, Communicated for publication", ~
- I. Gutman, "Graph theory and molecular orbitals. Total n-electron energy of alternant hydrocarbons", Chem. Phys. Lett., 17, pp.535~538 (1972)
- I. Gutman, "Graph theory and molecular orbitals. XII. Acyclic polyenes", J. Chem. Phys., 62, pp.3399~3405 (1975)
- V. Lokesha, "New results on the F-index of graphs based on Corona-type products of graphs", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 23(2), pp.141~148 (2020), 장전수학회
- R. Rajendra, "Tosha-degree of an edge in a graph", Southeast Asian Bull. Math., 45 (2021)
- R. Rajendra, "On Tosha-degree of an edge in a graph", Eur. J. Pure Appl. Math., 13(5), pp.1097~1109 (2020)
- R. Rajendra, "Tosha-degree equivalence signed graphs", Vladikavkaz Math. J., 22(2), pp.48~52 (2020)
- K. B. Sudhakara, "Some edge degree based topological indices of graphene", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 23(2), pp.258~270 (2020), 장전수학회
- Aysun YURTTAS, "Zagreb indices of graphs with added edges", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 21(3), pp.385~392 (2018), 장전수학회[DOI]
