Applications of Perfect Matchings in Chemistry

DOI10.1007/978-0-8176-4789-6_19zbMath1221.05272OpenAlexW24728015MaRDI QIDQ3064412

Damir Vukičević

Publication date: 21 December 2010

Published in: Structural Analysis of Complex Networks (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-8176-4789-6_19

zbMATH Keywords

enumerationPfaffianperfect matchingKekulé structureresonance graphanti-Kekulé number

Mathematics Subject Classification ID

Applications of graph theory (05C90) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Graph algorithms (graph-theoretic aspects) (05C85) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (5)

Maximum matchings and minimum dominating sets in Apollonian networks and extended tower of Hanoi graphs ⋮ Exact solution of the 2d dimer model: corner free energy, correlation functions and combinatorics ⋮ Maximum matchings in scale-free networks with identical degree distribution ⋮ Pfaffian orientations and perfect matchings of scale-free networks ⋮ Enumeration of perfect matchings of lattice graphs by Pfaffians

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