scholarly journals Twisted duality for embedded graphs

2012 ◽  
Vol 364 (3) ◽  
pp. 1529-1569 ◽  
Author(s):  
Joanna A. Ellis-Monaghan ◽  
Iain Moffatt
Keyword(s):  
Embedded Graphs ◽  
Twisted Duality

The cycle’s structure of embedded graphs in surfaces

2015 ◽  
Vol 31 (4) ◽  
pp. 1073-1082
Author(s):  
Zhao-xiang Li ◽  
Han Ren
Keyword(s):  
Embedded Graphs

The Enumeration of Maps on the Torus and the Projective Plane

1988 ◽  
Vol 31 (3) ◽  
pp. 257-271 ◽  
Author(s):  
E. A. Bender ◽  
E. R. Canfield ◽  
R. W. Robinson
Keyword(s):  
Projective Plane ◽  
Generating Functions ◽  
Recurrence Relations ◽  
Embedded Graphs ◽  
Asymptotic Expressions ◽  
Explicit Expressions

AbstractThe enumeration of rooted maps (embedded graphs), by number of edges, on the torus and projective plane, is studied. Explicit expressions for the generating functions are obtained. From these are derived asymptotic expressions and recurrence relations. Numerical tables for the numbers with up to 20 edges are presented.

scholarly journals The Las Vergnas polynomial for embedded graphs

2015 ◽  
Vol 50 ◽  
pp. 97-114 ◽  
Author(s):  
Joanna A. Ellis-Monaghan ◽  
Iain Moffatt
Keyword(s):  
Embedded Graphs

Face colorings of embedded graphs

1984 ◽  
Vol 8 (3) ◽  
pp. 387-398 ◽  
Author(s):  
Dan Archdeacon
Keyword(s):  
Embedded Graphs
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