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Degree distance index of class of graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 13، دوره 10، شماره 2، شهریور 2025، صفحه 453-462 اصل مقاله (415.16 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2023.28325.1506 | ||
| نویسندگان | ||
| A. Harshitha؛ Sabitha D'Souza* ؛ Pradeep G Bhat | ||
| Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal-576104, India | ||
| چکیده | ||
| The topological indices are the numerical parameters of a graph that characterize the topology of a graph and are usually graph invariant. The topological indices are classified based on the properties of graphs. The degree distance index is the topological index which is calculated by counting the degrees and distance between the vertices. In this paper, the degree distance index of the connected thorn graph, the graph obtained by joining an edge between two connected graphs, and one vertex union of two connected graphs are calculated. | ||
| کلیدواژهها | ||
| topological index؛ chemical graphs؛ degree of a vertex؛ distance between two vertices | ||
| مراجع | ||
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[1] G. Al Hagri, M. El Marraki, and M. Essalih, The degree distance of certain particular graphs, Appl. Math. Sci. 6 (2012), no. 18, 857–867.
[2] M. Azari, On the Gutman index of Thorn graphs, Kragujevac J. Sci. 40 (2018), 33–48. https://doi.org/10.5937/KgJSci1840033A
[3] G. Chartrand and P. Zhang, A First Course in Graph Theory, Courier Corporation, 2013.
[4] A.A. Dobrynin and A.A. Kochetova, Degree distance of a graph: A degree analog of the wiener index, J. Chem. Inf. Comput. 34 (1994), no. 5, 1082–1086. https://doi.org/10.1021/ci00021a008
[5] I. Gutman, Distance of thorny graph, Publ. Inst. Math. 63(77) (1998), no. 83, 31–36.
[6] P. Paulraja and V.S. Agnes, Degree distance of product graphs, Discrete Math. Algorithms Appl . 6 (2014), no. 1, Article ID: 1450003. https://doi.org/10.1142/S1793830914500037
[7] S. Sedghi and N. Shobe, Degree distance and gutman index of two graph products, J. Algebra Comb. Discrete Struct. Appl. 7 (2020), no. 2.
[8] D. Vukičević, S. Nikolić, and N. Trinajstić, On the schultz index of thorn graphs, Internet Electron. J. Mol. Des. 4 (2005), no. 7, 501–514.
[9] D.B. West, Introduction to Graph Theory, Prentice hall Upper Saddle River, 2001.
[10] H. Wiener, Structural determination of paraffin boiling points, J. Am. Chem. Soc. 69 (1947), no. 1, 17–20. https://doi.org/10.1021/ja01193a005 | ||
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