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Harary spectrum of generalized composition of graphs and Harary equienergetic graphs | ||
| Journal of Algebra and Related Topics | ||
| دوره 7، شماره 2، اسفند 2019، صفحه 31-45 اصل مقاله (353.43 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2020.14263.1161 | ||
| نویسندگان | ||
| H. Ramane* 1؛ D. Patil2؛ K. Ashoka1؛ B. Parvathalu3 | ||
| 1Department of Mathematics, Karnatak University, Dharwad - 580003, India | ||
| 2Department of Mathematics, Karnatak University, Dharwad,India | ||
| 3Department of Mathematics, Karnatak University's Karnatak Arts College, Dharwad - 580001, India | ||
| چکیده | ||
| The Harary spectrum of a connected graph $G$ is the collection of the eigenvalues of its Harary matrix. The Harary energy of a graph $G$ is the sum of absolute values of its Harary eigenvalues. Harary equitable partition is defined and is used to obtain Harary spectrum of generalized composition of graphs. Harary equienergetic graphs have been constructed with the help of generalized composition through Harary equitable partition. | ||
| کلیدواژه‌ها | ||
| Harary matrix؛ Harary spectrum؛ Harary energy؛ equitable partition؛ equienergetic graphs | ||
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