On the maximum size of connected hypergraphs without a path of given length

Ervin Győri; Abhishek Methuku; Nika Salia; Casey Tompkins; Máté Vizer

doi:10.1016/j.disc.2018.06.006

On the maximum size of connected hypergraphs without a path of given length

Ervin Győri
, Abhishek Methuku
, Nika Salia
, Casey Tompkins
, Máté Vizer^*

^*Corresponding author for this work

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

12 Scopus citations

Abstract

In this note we asymptotically determine the maximum number of hyperedges possible in an r-uniform, connected n-vertex hypergraph without a Berge path of length k, as n and k tend to infinity. We show that, unlike in the graph case, the multiplicative constant is smaller with the assumption of connectivity.

Original language	English
Pages (from-to)	2602-2605
Number of pages	4
Journal	Discrete Mathematics
Volume	341
Issue number	9
DOIs	https://doi.org/10.1016/j.disc.2018.06.006
State	Published - Sep 2018
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2018 Elsevier B.V.

Keywords

Berge hypergraph
Connected
Erdős–Gallai

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

Access to Document

10.1016/j.disc.2018.06.006

Cite this

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title = "On the maximum size of connected hypergraphs without a path of given length",

abstract = "In this note we asymptotically determine the maximum number of hyperedges possible in an r-uniform, connected n-vertex hypergraph without a Berge path of length k, as n and k tend to infinity. We show that, unlike in the graph case, the multiplicative constant is smaller with the assumption of connectivity.",

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AU - Győri, Ervin

AU - Methuku, Abhishek

AU - Salia, Nika

AU - Tompkins, Casey

AU - Vizer, Máté

PY - 2018/9

Y1 - 2018/9

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AB - In this note we asymptotically determine the maximum number of hyperedges possible in an r-uniform, connected n-vertex hypergraph without a Berge path of length k, as n and k tend to infinity. We show that, unlike in the graph case, the multiplicative constant is smaller with the assumption of connectivity.

KW - Berge hypergraph

KW - Connected

KW - Erdős–Gallai

UR - https://www.scopus.com/pages/publications/85048856738

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DO - 10.1016/j.disc.2018.06.006

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JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 9

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On the maximum size of connected hypergraphs without a path of given length

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this