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We introduce a polynomial invariant of graphs on surfaces, $P_G$, generalizing the classical Tutte polynomial.
W.T. Tutte, A ring in graph theory
1947
Earlier work this paper cites.
W.T. Tutte, A contribution to the theory of chromatic polynomials
1954
Earlier work this paper cites.
V.F.R. Jones, A polynomial invariant for knots via von Neumann algebras
1985
Earlier work this paper cites.
P. Di Francesco, H. Saleur and J.-B. Zuber, Critical Ising correlation functions in the plane and on the torus
1987
Earlier work this paper cites.
L.H. Kauffman, State models and the Jones polynomial
1987
Earlier work this paper cites.
Thistlethwaite, A spanning tree expansion for the Jones polynomial
1987
Earlier work this paper cites.
F. Jaeger, Tutte polynomials and link polynomials
1988
Earlier work this paper cites.
V. Turaev, The Conway and Kauffman modules of a solid torus
1990
Earlier work this paper cites.
W.S. Massey, A basic course in algebraic topology
1991
Earlier work this paper cites.
J. Przytycki, Skein modules of 3 3 -manifolds
1991
Cited alongside, same era.
B. Bollobás, Modern graph theory
1998
Cited alongside, same era.
L.H. Kauffman, Virtual Knot Theory
1999
Cited alongside, same era.
B. Bollobás and O. Riordan, A polynomial invariant of graphs on orientable surfaces
2001
Cited alongside, same era.
B. Bollobás and O. Riordan, A polynomial of graphs on surfaces
2002
Cited alongside, same era.
R. Costa-Santos and B.M. McCoy, Dimers and the critical Ising model on lattices of genus > 1 >1
2002
Cited alongside, same era.
A. Hatcher, Algebraic topology
V.O. Manturov, Kauffman-like polynomial and curves in 2-surfaces
2003
Later among the works it cites.
H. Dye and L.H. Kauffman, Minimal surface representations of virtual knots and links
2005
Later among the works it cites.
A.D. Sokal, The multivariate Tutte polynomial (alias Potts model) for graphs and matroids
2005
Later among the works it cites.
S. Chmutov and I. Pak, The Kauffman bracket of virtual links and the Bollobás-Riordan polynomial
2007
Later among the works it cites.
O.T. Dasbach, D. Futer, E. Kalfagianni, X.-S. Lin, and N.W. Stoltzfus, The Jones polynomial and graphs on surfaces
2008
Later among the works it cites.
J.L. Jacobsen and H. Saleur, Conformal boundary loop models
2008
Later among the works it cites.
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2002
Cited alongside, same era.
N. Kamada, On the Jones polynomials of checkerboard colorable virtual knots
2002
Cited alongside, same era.
G. Kuperberg, What is a virtual link?
2003
Cited alongside, same era.
J. A. Ellis-Monaghan and I. Sarmiento, A Duality Relation for the Topological Tutte Polynomial
Cited in the paper.
Cited in the paper.
P. Fendley and V. Krushkal, Link invariants, the chromatic polynomial and the Potts model
Cited in the paper.
I. Moffatt, Knot invariants and the Bollobás-Riordan polynomial of embedded graphs
2008
Later among the works it cites.
S. Chmutov, Generalized duality for graphs on surfaces and the signed Bollobas-Riordan polynomial
2009
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