The first and second Zagreb indices of hypergraphs

Gao, Wei

doi:10.22108/toc.2024.141216.2169

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	The first and second Zagreb indices of hypergraphs
Transactions on Combinatorics
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 05 دی 1403 اصل مقاله (496.78 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/toc.2024.141216.2169
نویسنده
Wei Gao^*
Department of Mathematics, Pennsylvania State University at Abington, Abington, PA, 19001, USA
چکیده
Let $\mathcal{H}$ be a hypergraph on the non-empty finite vertex set $V(\mathcal{H})$ with the hyperedge set $E(\mathcal{H})$, where each hyperedge $e\in E(\mathcal{H})$ is a subset of $V(\mathcal{H})$ with at least two vertices. The bounds on the first and second Zagreb indices of hypergraphs, weak bipartite hypergraphs, hypertrees, $k$-uniform hypergraphs, $k$-uniform weak bipartite hypergraphs, and $k$-uniform hypertrees are discussed.
کلیدواژه‌ها
Hypergraph؛ hypertree؛ first Zagreb index؛ second Zagreb index

مراجع
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The first and second Zagreb indices of hypergraphs