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The Pfaffian property of graphs on the Möbius strip based on topological resolution

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Publication:2419230
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DOI10.1007/s10910-019-01019-yzbMath1414.92228OpenAlexW2921448993MaRDI QIDQ2419230

Yan Wang

Publication date: 29 May 2019

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-019-01019-y


zbMATH Keywords

Möbius stripdrawing in the plane with crossingsPfaffian property


Mathematics Subject Classification ID

Applications of graph theory (05C90) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)




Cites Work

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  • Pfaffian graphs embedding on the torus
  • The complexity of computing the permanent
  • Matching theory
  • Chessboard domination problems
  • Matchings in graphs on non-orientable surfaces
  • Pfaffian polyominos on the Klein bottle
  • Pólya's permanent problem
  • A characterization of convertible (0,1)-matrices
  • A characterisation of Pfaffian near bipartite graphs
  • Permanents, Pfaffian orientations, and even directed circuits
  • Enumeration of perfect matchings of a type of quadratic lattice on the torus
  • The statistics of dimers on a lattice
  • Statistical Mechanics of Dimers on a Plane Lattice
  • Graph Drawing
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