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1 |
T Abe, The Turaev
genus of an adequate knot, Topology Appl. 156 (2009)
2704 MR2556029 |
2 |
A Champanerkar, I
Kofman, N Stoltzfus, Graphs on surfaces
and Khovanov homology, Algebr. Geom. Topol. 7 (2007)
1531 MR2366169 |
3 |
S Chmutov, Generalized
duality for graphs on surfaces and the signed Bollobás–Riordan
polynomial, J. Combin. Theory Ser. B 99 (2009) 617
MR2507944 |
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S Chmutov, I
Pak,
The Kauffman bracket of virtual links and the Bollobás–Riordan
polynomial, Mosc. Math. J. 7 (2007) 409, 573 MR2343139 |
5 |
S Chmutov, J
Voltz, Thistlethwaite’s
theorem for virtual links, J. Knot Theory Ramifications
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O T Dasbach, D
Futer, E Kalfagianni, X S Lin,
N W Stoltzfus, The Jones
polynomial and graphs on surfaces, J. Combin. Theory
Ser. B 98 (2008) 384 MR2389605 |
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O T Dasbach, D
Futer, E Kalfagianni, X S Lin,
N W Stoltzfus, Alternating sum
formulae for the determinant and other link invariants,
J. Knot Theory Ramifications 19 (2010) 765 MR2665767 |
8 |
O T Dasbach,
A M Lowrance, Turaev
genus, knot signature, and the knot homology concordance
invariants, Proc. Amer. Math. Soc. 139 (2011) 2631
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9 |
J A
Ellis-Monaghan, I Moffatt, Twisted
duality for embedded graphs, Trans. Amer. Math. Soc.
364 (2012) 1529 MR2869185 |
10 |
D Futer, E
Kalfagianni, J S Purcell, Dehn filling,
volume, and the Jones polynomial, J. Differential Geom.
78 (2008) 429 MR2396249 |
11 |
D Futer, E
Kalfagianni, J S Purcell,
Symmetric links and Conway sums : volume and Jones
polynomial, Math. Res. Lett. 16 (2009) 233 MR2496741 |
12 |
S Huggett, I
Moffatt, Bipartite partial duals and circuits in medial
graphs, to appear in Combinatorica arXiv:1106.4189 |
13 |
S Huggett, I
Moffatt, N Virdee, On the graphs of link diagrams
and their parallels, to appear in Math. Proc. Cambridge
Philos. Soc. arXiv:1106.4197 |
14 |
T Krajewski, V
Rivasseau, F Vignes-Tourneret, Topological graph
polynomial and quantum field theory Part II : Mehler kernel theories,
Ann. Henri Poincaré 12 (2011) 483 MR2785137 |
15 |
A M Lowrance,
On knot
Floer width and Turaev genus, Algebr. Geom. Topol. 8
(2008) 1141 MR2443110 |
16 |
I Moffatt,
Separability and the genus of a partial dual arXiv:1108.3526 |
17 |
I Moffatt, Partial duality
and Bollobás and Riordan’s ribbon graph polynomial,
Discrete Math. 310 (2010) 174 MR2558980 |
18 |
I Moffatt, A characterization of
partially dual graphs, J. Graph Theory 67 (2011) 198
MR2817160 |
19 |
I Moffatt, Unsigned state
models for the Jones polynomial, Ann. Comb. 15 (2011)
127 MR2785760 |
20 |
V G Turaev, A
simple proof of the Murasugi and Kauffman theorems on
alternating links, Enseign. Math. 33 (1987) 203 MR925987 |
21 |
F Vignes-Tourneret,
The
multivariate signed Bollobás–Riordan polynomial,
Discrete Math. 309 (2009) 5968 MR2552629 |
22 |
F Vignes-Tourneret,
Non-orientable
quasi-trees for the Bollobás–Riordan polynomial,
European J. Combin. 32 (2011) 510 MR2780852 |
23 |
T Widmer, Quasi-alternating
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