Pfaffian graphs embedding on the torus

2012 ◽  
Vol 56 (9) ◽  
pp. 1957-1964 ◽  
Author(s):  
LianZhu Zhang ◽  
Yan Wang ◽  
FuLiang Lu
Keyword(s):  
2010 ◽  
Vol 158 (12) ◽  
pp. 1275-1278 ◽  
Author(s):  
Alberto Alexandre Assis Miranda ◽  
Cláudio Leonardo Lucchesi

2011 ◽  
Vol 311 (4) ◽  
pp. 289-294 ◽  
Author(s):  
Alberto Alexandre Assis Miranda ◽  
Cláudio Leonardo Lucchesi
Keyword(s):  

Author(s):  
C. H. C. Little ◽  
F. Rendl

AbstractPfaffian graphs are those which can be oriented so that the 1-factors have equal sign, as calculated according to the prescription of Kasteleyn. We consider various operations on graphs and examine their effect on the Pfaffian property. We show that the study of Pfaffian graphs may be reduced to the case of subcubic graphs (graphs in which no vertex has degree greater than 3) or bricks (3-connected bicritical graphs).


2008 ◽  
Vol 30 ◽  
pp. 171-176
Author(s):  
Alberto Alexandre Assis Miranda ◽  
Cláudio Leonardo Lucchesi

COMBINATORICA ◽  
2008 ◽  
Vol 28 (1) ◽  
pp. 89-98 ◽  
Author(s):  
Serguei Norine

2017 ◽  
Vol 33 (5) ◽  
pp. 1249-1260
Author(s):  
Xing Feng ◽  
Lianzhu Zhang ◽  
Mingzu Zhang

COMBINATORICA ◽  
2009 ◽  
Vol 29 (1) ◽  
pp. 109-119 ◽  
Author(s):  
Serguei Norine
Keyword(s):  

2021 ◽  
Vol 195 ◽  
pp. 298-305
Author(s):  
Roberta Rasoviti Marques Costa Moço ◽  
Alberto Alexandre Assis Miranda ◽  
Cândida Nunes da Silva

2021 ◽  
pp. 267-272
Author(s):  
Maximilian Gorsky ◽  
Raphael Steiner ◽  
Sebastian Wiederrecht
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