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Hadwiger’s Conjecture

In: Open Problems in Mathematics

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  • Paul Seymour

    (Princeton University)

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 four-colour theorem, and is probably the most famous open problem in graph theory.

Suggested Citation

  • Paul Seymour, 2016. "Hadwiger’s Conjecture," Springer Books, in: John Forbes Nash, Jr. & Michael Th. Rassias (ed.), Open Problems in Mathematics, pages 417-437, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-32162-2_13
    DOI: 10.1007/978-3-319-32162-2_13
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