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Co-even domination number of a modified graph by operations on a vertex or an edge | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 1، دوره 6، شماره 4، دی 2025، صفحه 289-295 اصل مقاله (471.36 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2024.22929.1204 | ||
| نویسندگان | ||
| Nima Ghanbari1؛ Saeid Alikhani* 1؛ Mohammad Ali Dehghanizadeh2 | ||
| 1Department of Mathematical Sciences, Yazd University, 89195-741, Yazd, Iran | ||
| 2Department of Mathematics, Technical and Vocational University, Tehran, Iran | ||
| چکیده | ||
| Let $G=(V,E)$ be a simple graph. A dominating set of $G$ is a subset $D\subseteq V$ such that every vertex not in $D$ is adjacent to at least one vertex in $D$. The cardinality of a smallest dominating set of $G$, denoted by $\gamma(G)$, is the domination number of $G$. A dominating set $D$ is called co-even dominating set if the degree of vertex $v$ is even number for all $v\in V-D$. The cardinality of a smallest co-even dominating set of $G$, denoted by $\gamma _{coe}(G)$, is the co-even domination number of $G$. In this paper, we study co-even domination number of graphs which constructed by some operations on a vertex or an edge of a graph. | ||
| کلیدواژه‌ها | ||
| Domination number؛ Co-even dominating set؛ Vertex removal؛ Edge removal؛ Contraction | ||
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آمار تعداد مشاهده مقاله: 242 تعداد دریافت فایل اصل مقاله: 36 |
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