Minimal graphs of a torus, a projective plane and spheres and some properties of minimal graphs of homotopy classes

DOI10.1016/0012-365X(94)90262-3zbMath0799.05017MaRDI QIDQ1318805

Yeong-Nan Yeh, Alexander V. Ivashchenko

Publication date: 4 April 1994

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

zbMATH Keywords

homotopy classesminimal graphcontractible transformations

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Homotopy theory (55P99)

Related Items (6)

The generating polynomial and Euler characteristic of intersection graphs ⋮ Dimension on discrete spaces ⋮ Topological properties of the intersection graph of covers of \(n\)-dimensional surfaces ⋮ A definition of surfaces of \({\mathbb{Z}}^{3}\). A new 3D discrete Jordan theorem ⋮ Strong homotopy induced by adjacency structure ⋮ Graphs of spheres and tori

Cites Work

• Representation of smooth surfaces by graphs. Transformations of graphs which do not change the Euler characteristic of graphs
• Parallel concepts in graph theory
• On the global structure of crystalline surfaces
• Generating projective plane polyhedral maps

This page was built for publication: Minimal graphs of a torus, a projective plane and spheres and some properties of minimal graphs of homotopy classes