Subgraphs with large minimum ℓ-degree in hypergraphs where almost all ℓ-degrees are large

Victor Falgas-Ravry; Allan Lo

Subgraphs with large minimum ℓ-degree in hypergraphs where almost all ℓ-degrees are large

Victor Falgas-Ravry, Allan Lo

Mathematics

Research output: Contribution to journal › Article › peer-review

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Abstract

Let G be an r-uniform hypergraph on n vertices such that all but at most $\varepsilon \binom{n}{\ell}$ $\ell$-subsets of vertices have degree at least $p \binom{n-\ell}{r-\ell}$. We show that G contains a large subgraph with high minimum ℓ-degree.

Original language	English
Article number	P2.18
Journal	The Electronic Journal of Combinatorics
Volume	25
Issue number	2
Publication status	Published - 27 Apr 2018

Keywords

math.CO
05C65, 05D99

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Falgas-Ravry_Lo_Subgraphs_with_large_minimum_Electronic_Journal_CombinatoricsFinal published version, 259 KBLicence: None: All rights reserved

http://www.combinatorics.org/ojs/index.php/eljc/article/view/v25i2p18Licence: None: All rights reserved

A graph theoretical approach for combinatorial designs
Lo, A.
Engineering & Physical Science Research Council
1/11/16 → 31/10/18
Project: Research Councils

Cite this

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Subgraphs with large minimum ℓ-degree in hypergraphs where almost all ℓ-degrees are large

Abstract

Keywords

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A graph theoretical approach for combinatorial designs

Cite this