The Tutte polynomial of an infinite family of outerplanar, small-world and self-similar graphs
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Publication:1673211
DOI10.1016/j.physa.2013.05.021zbMath1395.05084OpenAlexW2062739556MaRDI QIDQ1673211
Yunhua Liao, Aixiang Fang, Yao-Ping Hou
Publication date: 11 September 2018
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physa.2013.05.021
Tutte polynomialself-similarcomplex networkrecurrent configurationabelian sandpile modelsmall-world graph
Related Items (8)
The Tutte polynomials of catacondensed benzenoid systems ⋮ Tutte polynomial of scale-free networks ⋮ The structure of sandpile groups of outerplanar graphs ⋮ The Tutte polynomial of a class of compound graphs and its applications ⋮ Rank and Bollobás-Riordan polynomials: Coefficient measures and zeros ⋮ Tutte polynomial of the Apollonian network ⋮ Potts model partition functions on two families of fractal lattices ⋮ Tutte polynomials of alternating polycyclic chains
Cites Work
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- Enumeration of matchings in families of self-similar graphs
- Chip-firing and the critical group of a graph
- Minimal sandpiles on hexagonal lattice
- Chip firing and the Tutte polynomial
- Tutte polynomials and related asymptotic limiting functions for recursive families of graphs
- The number of spanning trees of an infinite family of outerplanar, small-world and self-similar graphs
- The Tutte polynomial as a growth function
- The Potts model and the Tutte polynomial
- Graph Polynomials and Their Applications I: The Tutte Polynomial
- Potts models on hierarchical lattices and renormalization group dynamics: II. Examples and numerical results
- Self-organized critical state of sandpile automaton models
- Trees, parking functions, syzygies, and deformations of monomial ideals
- Algebraic aspects of Abelian sandpile models
- A Contribution to the Theory of Chromatic Polynomials
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