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Generalized Andr\'{a}sfai--Erd\H{o}s--S\'{o}s theorems for odd cycles

Autor: Chen, Zian, Hou, Jianfeng, Hu, Caiyun, Liu, Xizhi

In this note, we establish Andr\'{a}sfai--Erd\H{o}s--S\'{o}s-type stability theorems for two generalized Tur\'{a}n problems involving odd cycles, both of which are extensions of the Erd\H{o}s Pentagon Problem. Our results strengthen previous results

Externí odkaz: http://arxiv.org/abs/2409.11950

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On the boundedness of degenerate hypergraphs

Autor: Hou, Jianfeng, Hu, Caiyun, Li, Heng, Liu, Xizhi, Yang, Caihong, Zhang, Yixiao

We investigate the impact of a high-degree vertex in Tur\'{a}n problems for degenerate hypergraphs (including graphs). We say an $r$-graph $F$ is bounded if there exist constants $\alpha, \beta>0$ such that for large $n$, every $n$-vertex $F$-free $r

Externí odkaz: http://arxiv.org/abs/2407.00427

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Toward a density Corr\'{a}di--Hajnal theorem for degenerate hypergraphs

Autor: Hou, Jianfeng, Hu, Caiyun, Li, Heng, Liu, Xizhi, Yang, Caihong, Zhang, Yixiao

Given an $r$-graph $F$ with $r \ge 2$, let $\mathrm{ex}(n, (t+1) F)$ denote the maximum number of edges in an $n$-vertex $r$-graph with at most $t$ pairwise vertex-disjoint copies of $F$. Extending several old results and complementing prior work [J.

Externí odkaz: http://arxiv.org/abs/2311.15172

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Akademický článek

Quantitative evaluation of maximum operating pressure and storage capacity for gas-top sandstone reservoir-type gas storage

Autor: HU Caiyun, LI Cong, YANG Zhibin, JIA Qian, SUN Yanchun, LI Chaofeng, SUN Junchang, YANG Yuehui, SUN Dongsheng

Publikováno v: Dizhi lixue xuebao, Vol 30, Iss 3, Pp 419-426 (2024)

Objective The maximum operating pressure for underground gas storage facilities designed for oil and gas reservoirs, both constructed and under construction in China, is currently set at the original formation pressure. There have yet to be successfu

Externí odkaz: https://doaj.org/article/49fcae116fcd4764a5862f08ccb16344

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