scholarly journals Surgeries of pairing of Edges associated to trivalent graphs

2016 ◽  
Author(s):  
M. B. Faria ◽  
C. Mendes de Jesus ◽  
P. D. R. Sanchez
Keyword(s):  
Trivalent Graphs

scholarly journals Triangular color codes on trivalent graphs with flag qubits

2020 ◽  
Vol 22 (2) ◽  
pp. 023019 ◽  
Author(s):  
Christopher Chamberland ◽  
Aleksander Kubica ◽  
Theodore J Yoder ◽  
Guanyu Zhu
Keyword(s):  
Trivalent Graphs

scholarly journals Alexander- and Markov-type theorems for virtual trivalent braids

2019 ◽  
Vol 28 (01) ◽  
pp. 1950003 ◽  
Author(s):  
Carmen Caprau ◽  
Abigayle Dirdak ◽  
Rita Post ◽  
Erica Sawyer
Keyword(s):  
Type Theorem ◽  
Algebraic Approach ◽  
The Other ◽  
Markov Type ◽  
Trivalent Graphs

We prove Alexander- and Markov-type theorems for virtual spatial trivalent graphs and virtual trivalent braids. We provide two versions for the Markov-type theorem: one uses an algebraic approach similar to the case of classical braids and the other one is based on [Formula: see text]-moves.

An O ( n 3 log n ) deterministic and an O ( n 3 ) Las Vegs isomorphism test for trivalent graphs

1987 ◽  
Vol 34 (3) ◽  
pp. 513-531 ◽  
Author(s):  
Zvi Galil ◽  
Christoph M. Hoffmann ◽  
Eugene M. Luks ◽  
Claus P. Schnorr ◽  
Andreas Weber
Keyword(s):  
Trivalent Graphs

Automorphisms of Trivalent Graphs

1980 ◽  
Vol 111 (2) ◽  
pp. 377 ◽  
Author(s):  
David M. Goldschmidt
Keyword(s):  
Trivalent Graphs

scholarly journals The Yang–Mills measure in the SU(3)-skein module

2017 ◽  
Vol 26 (11) ◽  
pp. 1750071
Author(s):  
Charles Frohman ◽  
Jianyuan K. Zhong
Keyword(s):  
Complex Number ◽  
Positive Real Number ◽  
Closed Formula ◽  
Positive Real ◽  
Local Diffeomorphism ◽  
Yang Mills ◽  
Skein Module ◽  
Root Of Unity ◽  
Trivalent Graphs ◽  
Math Phys

Let [Formula: see text] be a nonzero complex number which is not a root of unity. Let [Formula: see text] be a compact oriented surface, the [Formula: see text]-skein space of [Formula: see text], [Formula: see text], is the vector space over [Formula: see text] generated by framed oriented links (including framed oriented trivalent graphs in [Formula: see text]) quotient by the [Formula: see text]-skein relations due to Kuperberg [Spiders for rank [Formula: see text] Lie algebra, Comm. Math. Phys. 180(1) (1996) 109–151]. For closed [Formula: see text], with genus greater than [Formula: see text], we construct a local diffeomorphism invariant trace on [Formula: see text] when [Formula: see text] is a positive real number not equal to [Formula: see text].

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