Complete minors and average degree: A short proof

Noga Alon; Michael Krivelevich; Benny Sudakov

doi:10.1002/jgt.22937

Complete minors and average degree: A short proof

Noga Alon, Michael Krivelevich, Benny Sudakov

Mathematics

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

2 Scopus citations

Abstract

We provide a short and self-contained proof of the classical result of Kostochka and of Thomason, ensuring that every graph of average degree (Formula presented.) has a complete minor of order (Formula presented.).

Original language	English (US)
Pages (from-to)	599-602
Number of pages	4
Journal	Journal of Graph Theory
Volume	103
Issue number	3
DOIs	https://doi.org/10.1002/jgt.22937
State	Published - Jul 2023

All Science Journal Classification (ASJC) codes

Geometry and Topology
Discrete Mathematics and Combinatorics

Keywords

clique minors
probabilistic methods

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10.1002/jgt.22937

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title = "Complete minors and average degree: A short proof",

abstract = "We provide a short and self-contained proof of the classical result of Kostochka and of Thomason, ensuring that every graph of average degree (Formula presented.) has a complete minor of order (Formula presented.).",

keywords = "clique minors, probabilistic methods",

author = "Noga Alon and Michael Krivelevich and Benny Sudakov",

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year = "2023",

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doi = "10.1002/jgt.22937",

language = "English (US)",

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T1 - Complete minors and average degree

T2 - A short proof

AU - Alon, Noga

AU - Krivelevich, Michael

AU - Sudakov, Benny

PY - 2023/7

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N2 - We provide a short and self-contained proof of the classical result of Kostochka and of Thomason, ensuring that every graph of average degree (Formula presented.) has a complete minor of order (Formula presented.).

AB - We provide a short and self-contained proof of the classical result of Kostochka and of Thomason, ensuring that every graph of average degree (Formula presented.) has a complete minor of order (Formula presented.).

KW - clique minors

KW - probabilistic methods

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U2 - 10.1002/jgt.22937

DO - 10.1002/jgt.22937

M3 - Article

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VL - 103

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JO - Journal of Graph Theory

JF - Journal of Graph Theory

IS - 3

ER -

Complete minors and average degree: A short proof

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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