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The coalescence of multi-wheel and starlike graphs is DLS | ||
| Journal of Mahani Mathematical Research | ||
| دوره 14، شماره 2 - شماره پیاپی 32، مرداد 2025، صفحه 99-111 اصل مقاله (972.67 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2024.23501.1658 | ||
| نویسندگان | ||
| Mohammad Hasan Ahangarani Farahani؛ Gholam Hossein Fath-Tabar* | ||
| Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran | ||
| چکیده | ||
| The Laplacian spectrum of a graph is obtained by taking the difference of the adjacency spectrum from the diagonal matrix of degrees. If a graph has a unique Laplacian spectrum, it means that it can be identified by this spectrum, it is called $DLS$. In this article, we first introduce the graph resulting from the integration of a starlike tree and a multi-wheel graph at the vertices with the maximum degree of these two graphs. Then, we check whether it is $DLS$. | ||
| کلیدواژه‌ها | ||
| Laplacian spectrum؛ DLS graph؛ Coalescence of graphs | ||
| مراجع | ||
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[10] Wen, F., Huang, Q., Huang, X., & Liu, F. (2015). The spectral characterization of wind-wheel graphs. Indian Journal of Pure and Applied Mathematics, 46, 613-631. https://doi.org/10.1007/s13226-015-0141-8
[11] Zhang, Y., Liu, X., & Yong, X. (2009). Which wheel graphs are determined by their Laplacian spectra?. Computers & Mathematics with Applications, 58(10), 1887-1890. https://doi.org/10.1016/j.camwa.2009.07.028 | ||
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