ON SOME TOTAL GRAPHS ON FINITE RINGS | ||
| Journal of Algebraic Systems | ||
| دوره 9، شماره 2، فروردین 2022، صفحه 267-280 اصل مقاله (181.02 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2021.10004.1495 | ||
| نویسندگان | ||
| M. Taghidoust Laskukalayeh1؛ M. Gholamnia Taleshani1؛ A. Abbasi* 2، 3 | ||
| 1Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 19141, Rasht, Iran. | ||
| 2Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 19141, Rasht, Iran.Guilan, Rasht, Iran. | ||
| 3Center of Excellence for Mathematical Modeling, Optimization and Combinatorial Computing (MMOCC), University of Guilan, Rasht, Iran. | ||
| چکیده | ||
| We give a decomposition of total graphs on some finite commutative rings R = Zm, where the set of zero-divisors of R is not an ideal. In particular, we study the total graph T((Z2npm)) where p is a prime and m and n are positive integers and investigate some graph theoretical properties with some of its fundamental subgraphs. | ||
| کلیدواژهها | ||
| Total graph؛ Decomposition؛ Graphs on commutative rings | ||
| مراجع | ||
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[1] R. B. Allan and R. Laskar, On domination and independent domination numbers of a graph, Discrete Math., 23 (1978), 73–76. [2] D. F. Anderson and A. Badawi, The total graph of a commutative ring, J. Algebra, 320 (2008), 2706–2719. [3] M. Behzad, G. Chartrand and J. K. Cooper, The colour numbers of complete graphs, J. London Math. Soc., 42 (1967), 226–228. [4] M. H. Shekarriz, M. H. Shirdareh Haghighi and H. Sharif, On the Total graph of a finite commutative ring, Comm. Algebra, 40(8) (2012), 2798–2807. [5] D. B. West, Introduction to Graph Theory, Second edition, Prentice-Hall, Upper Saddle river, NJ, 1996. | ||
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