Diagonal transformations and cycle parities of quadrangulations on surfaces

DOI10.1006/jctb.1996.0041zbMath0857.05024OpenAlexW2064129518MaRDI QIDQ1924144

Atsuhiro Nakamoto

Publication date: 14 October 1996

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

Full work available at URL: https://doi.org/10.1006/jctb.1996.0041

zbMATH Keywords

surfaceembeddingsquadrangulation

Mathematics Subject Classification ID

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

Related Items (17)

Chromatic numbers and cycle parities of quadrangulations on nonorientable closed surfaces ⋮ Planar triangulations which quadrangulate other surfaces ⋮ Diagonal transformations in quadrangulations and Dehn twists preserving cycle parities ⋮ Diagonal flips in plane graphs with triangular and quadrangular faces ⋮ \(N\)-flips in 4-connected even triangulations on the sphere ⋮ Efficiently hex-meshing things with topology ⋮ Transitions of hexangulations on the sphere ⋮ Odd complete minors in even embeddings on surfaces ⋮ Surface cubications mod flips ⋮ \(N\)-flips in even triangulations on the torus and Dehn twists preserving monodromies ⋮ Unnamed Item ⋮ \(N\)-flips in even triangulations on surfaces ⋮ Generating polyhedral quadrangulations of the projective plane ⋮ Unnamed Item ⋮ Transformations in closed 2-cell embeddings on surfaces preserving specified properties ⋮ Diagonal flips in triangulations on closed surfaces with minimum degree at least 4 ⋮ Even Embeddings of the Complete Graphs and Their Cycle Parities

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