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Zhang, Lei, Ren, Haizhen. (1403). An existence theorem of perfect matching on $k$-partite $k$-uniform hypergraphs via distance spectral radius. سامانه مدیریت نشریات علمی دانشگاه اصفهان, 13(4), 377-385. doi: 10.22108/toc.2023.137937.2077
Lei Zhang; Haizhen Ren. "An existence theorem of perfect matching on $k$-partite $k$-uniform hypergraphs via distance spectral radius". سامانه مدیریت نشریات علمی دانشگاه اصفهان, 13, 4, 1403, 377-385. doi: 10.22108/toc.2023.137937.2077
Zhang, Lei, Ren, Haizhen. (1403). 'An existence theorem of perfect matching on $k$-partite $k$-uniform hypergraphs via distance spectral radius', سامانه مدیریت نشریات علمی دانشگاه اصفهان, 13(4), pp. 377-385. doi: 10.22108/toc.2023.137937.2077
Zhang, Lei, Ren, Haizhen. An existence theorem of perfect matching on $k$-partite $k$-uniform hypergraphs via distance spectral radius. سامانه مدیریت نشریات علمی دانشگاه اصفهان, 1403; 13(4): 377-385. doi: 10.22108/toc.2023.137937.2077

An existence theorem of perfect matching on $k$-partite $k$-uniform hypergraphs via distance spectral radius

Transactions on Combinatorics
دوره 13، شماره 4، اسفند 2024، صفحه 377-385    اصل مقاله (472.98 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/toc.2023.137937.2077
نویسندگان
Lei Zhang؛ Haizhen Ren*
Department of Mathematics and Statistics, Qinghai Normal University, Xining, China
چکیده
Let $n_1, n_2,\ldots,n_k$ be integers and $V_1, V_2,\ldots,V_k$ be disjoint vertex sets with $|V_i|=n_i$ for each $i= 1, 2,\ldots,k$. A $k$-partite $k$-uniform hypergraph on vertex classes $V_1, V_2,\ldots,V_k$ is defined to be the $k$-uniform hypergraph whose edge set consists of the $k$-element subsets $S$ of $V_1 \cup V_2 \cup \cdots \cup V_k$ such that $|S\cap V_i|=1$ for all $i= 1, 2,\ldots,k$. We say that it is balanced if $n_1=n_2=\cdots=n_k$. In this paper, we give a distance spectral radius condition to guarantee the existence of perfect matching in $k$-partite $k$-uniform hypergraphs, this result generalize the result of Zhang and Lin  [Perfect matching and distance spectral radius in graphs and bipartite graphs, Discrete Appl. Math., 304 (2021) 315-322].
کلیدواژه‌ها
$k$-uniform $k$-partite hypergraphs؛ Distance spectral radius؛ Perfect matching
مراجع

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