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Graceful Coloring of some Corona graphs - An algorithmic approach | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 25 مرداد 1403 اصل مقاله (418.48 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2024.29155.1866 | ||
| نویسندگان | ||
| Laavanya D؛ Devi Yamini S* | ||
| Vellore Institute of Technology, Chennai, Tamil Nadu, India | ||
| چکیده | ||
| A graceful $k$-coloring of a non-empty graph G is a proper vertex coloring with $k$ colors that induces a proper edge coloring, where the color for an edge $uv$ is the absolute difference between the colors assigned to the vertices $u$ and $v$. The minimum $k$ for which $G$ admits a graceful $k$-coloring is called the graceful chromatic number of $G$ ($\chi_ {g} (G)$). The problem of determining the graceful chromatic number for some corona graphs with the related coloring algorithms are studied in this paper. | ||
| کلیدواژه‌ها | ||
| Graceful coloring؛ Graceful chromatic number؛ Corona graphs | ||
| مراجع | ||
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[11] R.J. Wilson, Introduction to Graph Theory, Longman Group Ltd, London, 1996. | ||
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