Decomposition theorems for the torus, projective plane and Klein bottle

DOI10.1016/0012-365X(88)90075-1zbMath0654.05024OpenAlexW2067342933MaRDI QIDQ1108282

D. W. Barnette

Publication date: 1988

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(88)90075-1

zbMATH Keywords

torusKlein bottleHamiltonian pathpolyhedral map

Mathematics Subject Classification ID

Paths and cycles (05C38) Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items

Unnamed Item, Non-revisiting paths on surfaces with low genus, Hamiltonicity of graphs on surfaces in terms of toughness and scattering number -- a survey, Type 3 diminimal maps on the torus, 3-trees in polyhedral maps

Cites Work

• Unnamed Item
• Decompositions of homology manifolds and their graphs
• Graph theorems for manifolds
• Paths on Polyhedra. I
• A theorem on paths in planar graphs