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The distance seidel spectrum of some graph operations | ||
| Journal of Hyperstructures | ||
| دوره 13، شماره 1، شهریور 2024، صفحه 15-32 اصل مقاله (359.91 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2024.14425.1004 | ||
| نویسندگان | ||
| Indulal Gopal* 1؛ Deena Scaria2 | ||
| 1Mathematics, St Aloysious College, Edathua | ||
| 2Mathematics, St Alosysius College, Edathua | ||
| چکیده | ||
| The distance matrix, distance eigenvalue, and distance energy of a connected graph have been studied in detail in literature where as the study on distance seidel matrix associated with a connected graph is in progress. The eigenvalues ∂1S≥∂2S≥ ... ≥∂nS of the distance seidel matrix DS(G) of a graph G forms the distance seidel spectrum of G. We describe here the distance seidel spectrum of some types of subdivision related graphs of a regular graph in terms of its adjacency spectrum. We also derive analytic expressions for the distance seidel energy of G(Cp), the partial complement of the subdivision graph of a cycle Cp and the distance seidel energy of S(Cp), the complement of the even cycle C2p. | ||
| کلیدواژه‌ها | ||
| Distance Seidel Matrix؛ Distance Seidel Spectrum؛ Distance Seidel Energy | ||
| مراجع | ||
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[22] I. Gopalapillai, D. C. Scaria, The distance related spectra of some subdivision related graphs,Journal of Computer Science and Applied Mathematics, 3(1):23-36, 2021. [23] G. Indulal, D. C. Scaria and X. Liu, The distance spectrum of the subdivision vertex join and subdivision edge join of two regular graphs, Discrete Math. Lett., 1: 36-41, 2019. | ||
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