Maximum Hypergraphs without Regular Subgraphs

• Autorzy: Jaehoon Kim , Alexandr V. Kostochka
• Języki publikacji: EN

Abstrakty

EN

We show that an n-vertex hypergraph with no r-regular subgraphs has at most 2n−1+r−2 edges. We conjecture that if n > r, then every n-vertex hypergraph with no r-regular subgraphs having the maximum number of edges contains a full star, that is, 2n−1 distinct edges containing a given vertex. We prove this conjecture for n ≥ 425. The condition that n > r cannot be weakened.

Słowa kluczowe

EN

hypergraphs; set system; subgraph; regular graph

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2014
• Tom: 34
• Numer: 1
• Strony: 151-166

Daty

wydano

2014-02-01

online

2014-02-14

Twórcy

autor

Jaehoon Kim

• Department of Mathematics, University of Illinois Urbana, IL, 61801, USA

autor

Alexandr V. Kostochka

• University of Illinois at Urbana–Champaign, Urbana, IL 61801, USA Sobolev Institute of Mathematics Novosibirsk 630090, Russia

Bibliografia

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Identyfikatory

DOI

10.7151/dmgt.1722