VL RECIPROCAL STATUS INDEX AND COINDEX OF CONNECTED GRAPHS
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초록
The reciprocal status of a vertex u in a connected graph G, is defined as the sum of reciprocal of the distances between u and all other vertices of a graph G. Relation between VL reciprocal status index and VL reciprocal status coindices are established. Also these indices are computed for VL reciprocal status transmission regular graphs. Further the VL reciprocal status index and coindex of some standard graphs are obtained.
Abstract
The reciprocal status of a vertex u in a connected graph G, is defined as the sum of reciprocal of the distances between u and all other vertices of a graph G. Relation between VL reciprocal status index and VL reciprocal status coindices are established. Also these indices are computed for VL reciprocal status transmission regular graphs. Further the VL reciprocal status index and coindex of some standard graphs are obtained.
참고문헌 (14)
- M. Aouchiche, "Variable neighborhood search for extremal graphs, 8. Variations on Graffiti 105", Congr. Numer, 148, pp.129~144 (2001)
- M. Aouchiche, "On a conjecture about the Szeged index", European J. Combin, 31, pp.1662~1666 (2010)
- A.R. Ashrafi, "The Mathematics and Topology of Fullerenes", pp.21~38 (2010), Springer Netherlands
- T. Deepika, "VL Index, and bounds for the tensor products of F- sum graphs", TWMS J. App. Eng. Math, 11(2), pp.374~385 (2021)
- F. Harary, "Status and Contrastatus", Sociometry, 22, pp.23~43 (1959)
- O. Ivanciuc, "Design of topological indices, Part Reciprocal distance matrix related local vertex invariants and topological indices", J. Math. Chem, 12, pp.309~318 (1993)
- V. Lokesha, "VL Reciprocal Status Index and Co-index of Graphs", J. Math
- R. Mohammadyari, "Topological indices of the Kneser graph KGn,k", Filomat, 26, pp.665~672 (2012)
- D. Plavsic, "On the Harary index for the characterization of chemical graphs", J. Math. Chem, 12, pp.235~250 (1993)
- H. S. Ramane, "Status connectivity indices of graphs and its applications to the boiling point of benzenoid hydrocarbons", J. Appl. Math. Comput, 55(1-2), pp.609~627 (2017)
- H. S. Ramane, "Reciprocal status connectivity indices and co-indices of graphs", Indian J. Discrete Math, 3(2), pp.61~72 (2017)
- R. Todeschini, "Handbook of Molecular Descriptors" (2000), Wiley-VCH
- R. Todeschini, "Molecular Descriptors for Chemoinformatics, 1, 2" (2009), Wiley-VCH
- H. Wiener, "Structural determination of paraffin boiling points", J. Amer. Chem. Soc, 69, pp.17~20 (1947)