University of Isfahan Transactions on Combinatorics 2251-8657 15 1 2024 12 25 The first and second Zagreb indices of hypergraphs 13 28 29096 10.22108/toc.2024.141216.2169 EN Wei Gao Department of Mathematics, Pennsylvania State University at Abington, Abington, PA, 19001, USA Journal Article 2024 04 18 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.<br />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. hypergraph hypertree First Zagreb index second Zagreb index https://toc.ui.ac.ir/article_29096_4dc09c0693b5d4275fbce8f051069f98.pdf