Balanced subdivisions and flips on surfaces

DOI10.1090/proc/13775zbMath1378.05222arXiv1701.08060OpenAlexW2585949860MaRDI QIDQ3130815

Satoshi Murai, Yusuke Suzuki

Publication date: 29 January 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08060

zbMATH Keywords

balanced edge subdivisionbalanced edge weldtagon contraction

Mathematics Subject Classification ID

Triangulating manifolds (57Q15) Coloring of graphs and hypergraphs (05C15) Graph algorithms (graph-theoretic aspects) (05C85) Polyhedral manifolds (52B70) Combinatorial aspects of simplicial complexes (05E45)

Related Items (5)

Graded Betti numbers of balanced simplicial complexes ⋮ Balanced shellings and moves on balanced manifolds ⋮ Exceptional balanced triangulations on surfaces ⋮ Balanced triangulations on few vertices and an implementation of cross-flips ⋮ \(Q_4\)-irreducible even triangulations of the projective plane

Cites Work

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• P.l. homeomorphic manifolds are equivalent by elementary shellings
• Konstruktionsmethoden und das kombinatorische Homöomorphieproblem für Triangulationen kompakter semilinearer Mannigfaltigkeiten. (Methods of constructions and the combinatorical homeomorphism problem for triangulations of compact semilinear manifolds)
• Simplicial moves on balanced complexes
• The nonorientable genus of complete tripartite graphs
• \(N\)-flips in even triangulations on surfaces
• Das Geschlecht des vollständigen dreifärbbaren Graphen
• N-flips in even triangulations on the sphere
• The genus of the complete tripartite graph Kmn,n,n

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