A characterization of partially dual graphs
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Publication:3018073
DOI10.1002/jgt.20525zbMath1232.05059arXiv0901.1868OpenAlexW3101703727MaRDI QIDQ3018073
Publication date: 21 July 2011
Published in: Journal of Graph Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0901.1868
Combinatorial identities, bijective combinatorics (05A19) Planar graphs; geometric and topological aspects of graph theory (05C10)
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Cites Work
- Unnamed Item
- Unsigned state models for the Jones polynomial
- A polynomial of graphs on surfaces
- Generalized duality for graphs on surfaces and the signed Bollobás-Riordan polynomial
- The multivariate signed Bollobás-Riordan polynomial
- Partial duality and Bollobás and Riordan's ribbon graph polynomial
- Knot invariants and the Bollobás-Riordan polynomial of embedded graphs
- The Jones polynomial and graphs on surfaces
- A Polynomial Invariant of Graphs On Orientable Surfaces
- THISTLETHWAITE'S THEOREM FOR VIRTUAL LINKS
- On the surface duality of linear graphs