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The operations effects on the line graphs of simple graphs | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 66، دوره 13، شماره 1، خرداد 2022، صفحه 813-816 اصل مقاله (281.04 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5599 | ||
| نویسنده | ||
| Fawwaz Doujan Wrikat* | ||
| Department of Mathematics and Statics, Mutah University, Al-Karak, Jordan | ||
| تاریخ دریافت: 12 مرداد 1400، تاریخ پذیرش: 05 مهر 1400 | ||
| چکیده | ||
| The line graph of the graph $\Gamma$ denoted by $L(\Gamma)$ is a graph with a vertex set consists of the sets of edges of $\Gamma$ and two vertices are adjacent in $L(\Gamma)$ if they are incident in $\Gamma$. In this article, we discuss and determine the effect of operations on the line graphs of simple graphs. | ||
| کلیدواژه‌ها | ||
| graph؛ simple؛ line graph؛ operations | ||
| مراجع | ||
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[1] N. Biggs, Algebraic Graph Theory, Cambridge University Press, 1993. [2] G. Chartrand, L. Linda and Z. Ping, Graphs and Diagraphs, CRC Press, 2010. [3] J. Clark and D.A. Holton, A First Look at Graph Theory, World Scientific Co. Pte. Ltd. 1991. [4] F. Doujan Wrikat, On the complements of graphs, Int. J. Math. Computer Sci. 15(3) (2020) 839–843. [5] J. Elles and D. Toledo, Hassler Whitney Collected Papers, Birkh¨auser Basel, Springer, 1992. [6] L. Euler, Solutio prblematis geometrias Situs pertinentis, Comment Acadima Sci. I Petropltance 8 (1766) 128–140. [7] F. Harary, Graph Theory, Addison-Wesley, Massachusetts, 1994. [8] A. Hoffman, On the line graph of the complete graph, Ann. Math. Stat. 35(2) (1984) 883–885. [9] F. Harary, Graph Theory, Wesley, 1994. | ||
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