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Pósa's theorem

Pósa's theorem, in graph theory, is a sufficient condition for the existence of a Hamiltonian cycle based on the degrees of the vertices in an undirected graph. It implies two other degree-based sufficient conditions, Dirac's theorem on Hamiltonian cycles and Ore's theorem. Unlike those conditions, it can be applied to graphs with a small number of…

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Pósa's theorem

Nodes11
Edges10
Triples4
Avg. degree1.82
Density0.181818
Components1

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Pósa's theorem

Top relations

related to External links · 4
Pósa's theorem → Eric, MathWorldAbout, Pósa, Weisstein

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Important terminology

theorem pósa graph vertices condition hamiltonian undirected pósa's degrees sufficient cycle conditions finite mr theory cycles graphs 1962 doi hamilton

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SubjectPredicateObjectConfidenceSrc
Pósa's theoremrelated to External linksWeisstein0.60section
Pósa's theoremrelated to External linksEric0.60section
Pósa's theoremrelated to External linksMathWorldAbout0.60section
Pósa's theoremrelated to External linksPósa0.60section

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