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On the Zero Forcing Number of Complementary Prism Graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 04 دی 1402 اصل مقاله (422.66 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2023.27819.1362 | ||
| نویسندگان | ||
| M.R. Raksha1، 2؛ Charles Dominic* 1 | ||
| 1Department of Mathematics, CHRIST (Deemed to be university), Bengaluru-560029, Karnataka, India | ||
| 2Department of Mathematics, RV College of Engineering, Bengaluru-560059, Karnataka, India | ||
| چکیده | ||
| The zero forcing number of a graph is the minimum cardinality among all the zero forcing sets of a graph $G$. The aim of this article is to compute the zero forcing number of complementary prism graphs. Some bounds on the zero forcing number of complementary prism graphs are presented. The remainder of this article discusses the following result. Let $G$ and $\overline{G }$ be connected graphs. Then $Z(G\overline{G})\leq n-1$ if and only if there exists two vertices $v_i,v_j \in V(G)$ and $i\neq j$ such that, either $N(v_i) \subseteq N(v_j)$ or $N[v_i] \subseteq N[v_j]$ in $G$. | ||
| کلیدواژه‌ها | ||
| Zero forcing set؛ Zero forcing number؛ Complementary prism graph | ||
| مراجع | ||
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