The number of Kekulé structures of polyominos on the torus
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Publication:1936985
DOI10.1007/s10910-012-0087-6zbMath1258.92047OpenAlexW2087196821MaRDI QIDQ1936985
Fuliang Lu, Lian Zhu Zhang, Shou Liu Wei
Publication date: 11 February 2013
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-012-0087-6
Relations of low-dimensional topology with graph theory (57M15) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)
Related Items (6)
A note on polyomino chains with extremum general sum-connectivity index ⋮ Perfect matchings in random polyomino chain graphs ⋮ Explicit form of determinants and inverse matrices of Tribonacci \(r\)-circulant type matrices ⋮ Perfect matchings on a type of lattices with toroidal boundary ⋮ Forcing and anti-forcing polynomials of perfect matchings for some rectangle grids ⋮ The Pfaffian property of circulant graphs
Cites Work
- The structure character of essentially disconnected polyomino graphs
- Elementary components of essentially disconnected polyomino graphs
- Matching theory
- Combinatorial properties of polyominoes
- Chessboard domination problems
- On the queen domination problem
- Perfect matchings of polyomino graphs
- Matchings in graphs on non-orientable surfaces
- Enumeration of perfect matchings of graphs with reflective symmetry by Pfaffians
- Dimer statistics on the Möbius strip and the Klein bottle
- 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
- King and domino polynomials for polyomino graphs
- Dimer problem in statistical mechanics-an exact result
- Tilings of the Torus and the Klein Bottle and Vertex-Transitive Graphs on a Fixed Surface
- Close-packed dimers on nonorientable surfaces
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