Irreducible quadrangulations of the torus

DOI10.1006/jctb.1996.0040zbMath0857.05023OpenAlexW2083568711MaRDI QIDQ1924143

Atsuhiro Nakamoto

Publication date: 6 March 1997

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jctb.1996.0040

zbMATH Keywords

surfacetorusembeddingsminorsquadrangulationirreducible triangulations

Mathematics Subject Classification ID

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

Related Items (20)

Y-rotation in k-minimal quadrangulations on the projective plane ⋮ Minor relation for quadrangulations on the projective plane ⋮ Finitizable set of reductions for polyhedral quadrangulations of closed surfaces ⋮ Diagonal transformations in quadrangulations and Dehn twists preserving cycle parities ⋮ Diagonal transformations of graphs and Dehn twists of surfaces ⋮ Rhombus tilings of an even-sided polygon and quadrangulations on the projective plane ⋮ Cellular automorphisms and self-duality ⋮ Generating even triangulations on the Klein bottle ⋮ Minor relations for quadrangulations on the sphere ⋮ Generating \(r\)-regular graphs ⋮ Generating 4-connected even triangulations on the sphere ⋮ Chromatic numbers of quadrangulations on closed surfaces ⋮ Generating even triangulations on the torus ⋮ Embeddings of chemical graphs in hypercubes ⋮ Y-equivalence and rhombic realization of projective-planar quadrangulations ⋮ Generating polyhedral quadrangulations of the projective plane ⋮ Transformations in closed 2-cell embeddings on surfaces preserving specified properties ⋮ Cycle reversals in oriented plane quadrangulations and orthogonal plane partitions ⋮ Topological inductive constructions for tight surface graphs ⋮ Even Embeddings of the Complete Graphs and Their Cycle Parities

This page was built for publication: Irreducible quadrangulations of the torus