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The $r$-dynamic chromatic number of the corona product of graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 15 بهمن 1403 اصل مقاله (368.81 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2025.29285.1926 | ||
| نویسندگان | ||
| Sampathkumar R.* ؛ S. Anantharaman* | ||
| Department of Mathematics, Annamalai University, Annamalainagar - 608 002, India | ||
| چکیده | ||
| Let $G$ be a graph. An {\it $r\!$-dynamic $k\!$-coloring} of $G$ is a proper $k\!$-coloring of $G$ such that every vertex $v$ in $V(G)$ has neighbors in at least $\min\{r,d_G(v)\}$ different color classes. The {\it $r\!$-dynamic chromatic number} of $G,$ denoted by $\chi_r(G),$ is the least $k$ such that $G$ has an $r\!$-dynamic $k\!$-coloring. We determine the $r\!$-dynamic chromatic number of the corona product $G\odot H$ of graphs $G$ and $H,$ in terms of the dynamic chromatic numbers of $G$ and $H.$ | ||
| کلیدواژه‌ها | ||
| Coloring؛ Dynamic Coloring؛ Corona Product | ||
| مراجع | ||
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