Hadwiger’s conjecture

Paul Seymour

doi:10.1007/978-3-319-32162-2_13

Hadwiger’s conjecture

Paul Seymour

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

57 Scopus citations

Abstract

This is a survey of Hadwiger’s conjecture from 1943, that for all t ≥ 0, every graph either can be t-coloured, or has a subgraph that can be contracted to the complete graph on t + 1 vertices. This is a tremendous strengthening of the fourcolour theorem, and is probably the most famous open problem in graph theory.

Original language	English (US)
Title of host publication	Open Problems in Mathematics
Publisher	Springer International Publishing
Pages	417-437
Number of pages	21
ISBN (Electronic)	9783319321622
ISBN (Print)	9783319321608
DOIs	https://doi.org/10.1007/978-3-319-32162-2_13
State	Published - Jan 1 2016

All Science Journal Classification (ASJC) codes

General Economics, Econometrics and Finance
General Business, Management and Accounting
General Mathematics

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10.1007/978-3-319-32162-2_13

Cite this

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Hadwiger’s conjecture

Abstract

All Science Journal Classification (ASJC) codes

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