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Extremal Zagreb indices of a tree with given double Roman domination number | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 1، دوره 12، شماره 1، خرداد 2027، صفحه 1-16 اصل مقاله (448.16 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2025.30411.2456 | ||
| نویسندگان | ||
| Mohammad Habibi* ؛ Amene Alidadi | ||
| Department of Mathematics, Tafresh University, Tafresh 39518-79611, Iran | ||
| چکیده | ||
| In this article, some upper and lower bounds for the first and the second Zagreb indices of an arbitrary tree in terms of its order and double Roman domination number $\gamma_{dR}$, (depending on whether $\gamma_{dR}$ is odd or even), are stated. Also, all extremal trees attaining equality are characterized. | ||
| کلیدواژه‌ها | ||
| Double Roman domination number؛ double star؛ path؛ star؛ tree؛ Zagreb indices | ||
| مراجع | ||
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