生成有界度超树的dirac型条件

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-11-22 DOI:10.1016/j.jctb.2023.11.002

Matías Pavez-Signé , Nicolás Sanhueza-Matamala , Maya Stein

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引用次数: 0

摘要

证明了对于固定k，每一个有n个顶点且最小余度至少为n/2+o(n)的k-一致超图包含每一个有界顶点度的生成紧k树作为子图。这推广了一个众所周知的关于图形的Komlós, Sárközy和szemersamedi的结果。我们的结果是渐近尖锐的。我们还证明了对满足弱拟随机条件的超图的推广。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Dirac-type conditions for spanning bounded-degree hypertrees

We prove that for fixed k, every k-uniform hypergraph on n vertices and of minimum codegree at least $n / 2 + o (n)$ contains every spanning tight k-tree of bounded vertex degree as a subgraph. This generalises a well-known result of Komlós, Sárközy and Szemerédi for graphs. Our result is asymptotically sharp. We also prove an extension of our result to hypergraphs that satisfy some weak quasirandomness conditions.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.