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
دوره 15، شماره 1، خرداد 2026، صفحه 13-28 اصل مقاله (498.71 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
[1] S. Ashraf, M. Imran, S. A. U. H. Bokhary and S. Akhter, The Wiener index, degree distance index and Gutman index of composite hypergraphs and sunflower hypergraphs, Heliyon, 8 (2022) e12382. [2] J. Cooper and A. Dutle, Computing hypermatrix spectra with the Poisson product formula, Linear Multilin. Algebra, 63 no. 5 (2015) 956–970. [3] Y. Feng, Z. Zhu, Y. Wang and M. Zhang, The extremal t-uniform unicyclic hypergraph on Estrada index, Filomat, 37 no. 19 (2023) 6497–6504. [4] H. Guo and B. Zhou, Properties of degree distance and Gutman index of uniform hypergraphs, MATCH Commun. Math. Comput. Chem., 78 no. 1 (2017) 213–220. [5] H. Guo, B. Zhou and H. Lin, The Wiener index of uniform hypergraphs, MATCH Commun. Math. Comput. Chem., 78 no. 1 (2017) 133–152. [6] I. Gutman and K. Ch. Das, The first Zagreb index 30 years after, MATCH Commun. Math. Comput. Chem. 50 (2004) 83–92. [7] I. Gutman and N. Trinajstić, Graph theory and molecular orbitals. Total π-electron energy of alternant hydrocarbons, Chem. Phys. Lett., 17 (1972) 535–538. [8] E. V. Konstantinova and V. A. Skorobogatov, Application of hypergraph theory in chemistry, Discrete Math., 235 no. 1-3 (2001) 365–383. [9] J. Nieminen and M. Peltola, Hypertrees, Appl. Math. Lett., 12 no. 2 (1999) 35–38. [10] S. Nikolić, G. Kovačević, A. Miličević and N. Trinajstić, The Zagreb indices 30 years after, Croat. Chem. Acta, 76 (2003) 113–124. [11] J. A. Rodrı́guez, On the Wiener index and the eccentric distance sum of hypergraphs, MATCH Commun. Math. Comput. Chem., 54 (2005) 209–220. [12] S. S. Shetty and K. A. Bhat, Sombor index of hypergraphs, MATCH Commun. Math. Comput. Chem., 91 (2024) 235–254. [13] L. Sun, J. Wu, H. Cai and Z. Luo, The Wiener index of r-uniform hypergraphs, Bull. Malays. Math. Sci. Soc., 40 (2017) 1093–1113. [14] T. Vetrı́k, Degree-based indices of hypergraphs: Definitions and first results, Asian-Eur. J. Math., 17 no. 4 (2024) 14 pp. [15] W.-H. Wang and Y.-S. Xue, On the r-uniform linear hypertrees with extremal Estrada indices, Appl. Math. Comput., 377 (2020) 11 pp. [16] W. Weng, B. Zhou, On the eccentric connectivity index of uniform hypergraphs, Discrete. Appl. Math., 309 (2022) 180–193.
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The first and second Zagreb indices of hypergraphs