Planar Hypohamiltonian Graphs on 40 Vertices

DOI10.1002/jgt.22015zbMath1356.05029arXiv1302.2698OpenAlexW2101585347MaRDI QIDQ2958202

Carol T. Zamfirescu, Mohammadreza Jooyandeh, Ville H. Pettersson, Brendan D. McKay, Patric R. J. Östergård

Publication date: 1 February 2017

Published in: Journal of Graph Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.2698

zbMATH Keywords

planar graphhypotraceable graphhypo-Hamiltonian graphgraph generationGrinberg's theorem

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Eulerian and Hamiltonian graphs (05C45)

Related Items (12)

Grinberg's criterion ⋮ Forbidden configurations for hypohamiltonian graphs ⋮ Gallai's property for graphs in lattices on the torus and the Möbius strip ⋮ Non-Hamiltonian graphs in which every edge-contracted subgraph is Hamiltonian ⋮ On minimum leaf spanning trees and a criticality notion ⋮ Planar hypohamiltonian oriented graphs ⋮ On the hamiltonicity of a planar graph and its vertex‐deleted subgraphs ⋮ K₂‐Hamiltonian graphs: II ⋮ Improved bounds for hypohamiltonian graphs ⋮ On constructions of hypotraceable graphs ⋮ Gallai's question and constructions of almost hypotraceable graphs ⋮ $K_2$-Hamiltonian Graphs: I

Uses Software

• House of Graphs

Cites Work

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