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Alikhani, Saeid, Ghanbari, Nima. (1403). Strong domination number of a modified graph. نشریه مهندسی عمران امیرکبیر, 5(3), 217-223. doi: 10.22060/ajmc.2023.22327.1152
Saeid Alikhani; Nima Ghanbari. "Strong domination number of a modified graph". نشریه مهندسی عمران امیرکبیر, 5, 3, 1403, 217-223. doi: 10.22060/ajmc.2023.22327.1152
Alikhani, Saeid, Ghanbari, Nima. (1403). 'Strong domination number of a modified graph', نشریه مهندسی عمران امیرکبیر, 5(3), pp. 217-223. doi: 10.22060/ajmc.2023.22327.1152
Alikhani, Saeid, Ghanbari, Nima. Strong domination number of a modified graph. نشریه مهندسی عمران امیرکبیر, 1403; 5(3): 217-223. doi: 10.22060/ajmc.2023.22327.1152

Strong domination number of a modified graph

AUT Journal of Mathematics and Computing
دوره 5، شماره 3، 2024، صفحه 217-223    اصل مقاله (433.52 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22060/ajmc.2023.22327.1152
نویسندگان
Saeid Alikhani* 1؛ Nima Ghanbari2
1Department of Mathematical Science, Yazd University, 89195-741, Yazd, Iran
2Department of Informatics, University of Bergen, P.O. Box 7803, 5020 Bergen, Norway
چکیده
Let $G=(V,E)$ be a simple graph. A set $D\subseteq V$ is a strong dominating set of $G$, if for every vertex $x\in V\setminus D$ there is a vertex $y\in D$ with $xy\in E(G)$ and $\deg(x)\leq \deg(y)$. The strong domination number $\gamma_{\rm st}(G)$ is defined as the minimum cardinality of a strong dominating set. In this paper, we study the effects on $\gamma_{\rm st}(G)$ when $G$ is modified by operations on vertices and edges of $G$.
کلیدواژه‌ها
Strong domination number؛ Strong dominating set؛ Vertex contraction
مراجع
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