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This paper introduces a conceptual framework, in the context of quantum topology and the algebras underlying it, for analyzing relations obeyed by the chromatic polynomial \chi(Q) of planar graphs.
W.T. Tutte, More about chromatic polynomials and the golden ratio
1969
Earlier work this paper cites.
W.T. Tutte, On chromatic polynomials and the golden ratio
1970
Earlier work this paper cites.
H. N. V. Temperley and E. H. Lieb, Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
1971
Earlier work this paper cites.
S. Beraha, Infinite non-trivial families of maps and chromials
1975
Earlier work this paper cites.
V.F.R. Jones, Index for subfactors
1983
Earlier work this paper cites.
J. Murakami, The Kauffman polynomial of links and representation theory
1987
Earlier work this paper cites.
H. Wenzl, On a sequence of projections
1987
Earlier work this paper cites.
J. Birman and H. Wenzl, Braids, link polynomials and a new algebra
1989
Cited alongside, same era.
E. Witten, Quantum field theory and the Jones polynomial
1989
Cited alongside, same era.
S. Yamada, An operator on regular isotopy invariants of link diagrams
1989
Cited alongside, same era.
H. Saleur, Zeroes of chromatic polynomials: a new approach to Beraha conjecture using quantum groups
1990
Cited alongside, same era.
E.J. Mlawer, S.G. Naculich, H.A. Riggs, H.J. Schnitzer, Group level duality of WZW fusion coefficients and Chern-Simons link observables
1991
Cited alongside, same era.
L. Kauffman and H. Saleur, An algebraic approach to the planar coloring problem
1993
Cited alongside, same era.
F. Jaeger, On some graph invariants related to the Kauffman polynomial
1997
Later among the works it cites.
B. Bollobas, Modern graph theory
1998
Later among the works it cites.
P.P. Martin and D. Woodcock. The partition algebras and a new deformation of the Schur algebras
1998
Later among the works it cites.
W.T. Tutte, Graph theory as I have known it
1998
Later among the works it cites.
P. Fendley and N. Read, Exact S-matrices for supersymmetric sigma models and the Potts model
2003
Later among the works it cites.
M. Freedman, A magnetic model with a possible Chern-Simons phase
2003
Later among the works it cites.
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L.H. Kauffman and S.L. Lins, Temperley-Lieb recoupling theory and invariants of 3 3 -manifolds
1994
Cited alongside, same era.
P. Fendley, Topological order from quantum loops and nets
Cited in the paper.
P. Fendley and V. Krushkal, Link invariants, the chromatic polynomial and the Potts model
Cited in the paper.
L. Fidkowski, M. Freedman, C. Nayak, K. Walker, Z. Wang, From String Nets to Nonabelions
Cited in the paper.
K. Walker, talk given at IPAM conference “Topological Quantum Computing”, available at https://www.ipam.ucla.edu/schedule.aspx?pc=tqc2007
Cited in the paper.
K. Walker, On Witten’s 3 3 -manifold invariants
Cited in the paper.