Turán graphs with bounded matching number

Noga Alon; Péter Frankl

doi:10.1016/j.jctb.2023.12.002

Turán graphs with bounded matching number

Noga Alon, Péter Frankl

School of Computer Science

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

1 Scopus citations

Abstract

We determine the maximum possible number of edges of a graph with n vertices, matching number at most s and clique number at most k for all admissible values of the parameters.

Original language	English
Pages (from-to)	223-229
Number of pages	7
Journal	Journal of Combinatorial Theory. Series B
Volume	165
DOIs	https://doi.org/10.1016/j.jctb.2023.12.002
State	Published - Mar 2024

Keywords

Clique number
Matching number
Turan graphs

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10.1016/j.jctb.2023.12.002

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title = "Tur{\'a}n graphs with bounded matching number",

abstract = "We determine the maximum possible number of edges of a graph with n vertices, matching number at most s and clique number at most k for all admissible values of the parameters.",

keywords = "Clique number, Matching number, Turan graphs",

author = "Noga Alon and P{\'e}ter Frankl",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Inc.",

year = "2024",

month = mar,

doi = "10.1016/j.jctb.2023.12.002",

language = "אנגלית",

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journal = "Journal of Combinatorial Theory. Series B",

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AU - Alon, Noga

AU - Frankl, Péter

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KW - Clique number

KW - Matching number

KW - Turan graphs

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VL - 165

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JO - Journal of Combinatorial Theory. Series B

JF - Journal of Combinatorial Theory. Series B

ER -

Turán graphs with bounded matching number

Abstract

Keywords

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