scholarly journals Combinatorial Representation of Parameter Space for Switching Networks

2016 ◽  
Vol 15 (4) ◽  
pp. 2176-2212 ◽  
Author(s):  
Bree Cummins ◽  
Tomas Gedeon ◽  
Shaun Harker ◽  
Konstantin Mischaikow ◽  
Kafung Mok
2001 ◽  
Vol DMTCS Proceedings vol. AA,... (Proceedings) ◽  
Author(s):  
Alexander Zvonkin

International audience We consider the usual model of hypermaps or, equivalently, bipartite maps, represented by pairs of permutations that act transitively on a set of edges E. The specific feature of our construction is the fact that the elements of E are themselves (or are labelled by) rather complicated combinatorial objects, namely, the 4-constellations, while the permutations defining the hypermap originate from an action of the Hurwitz braid group on these 4-constellations.The motivation for the whole construction is the combinatorial representation of the parameter space of the ramified coverings of the Riemann sphere having four ramification points.


1990 ◽  
Vol 137 (4) ◽  
pp. 239 ◽  
Author(s):  
D.A. Nicole ◽  
E.K. Lloyd ◽  
J.S. Ward
Keyword(s):  

1993 ◽  
Vol 140 (5) ◽  
pp. 337 ◽  
Author(s):  
D.K. Hunter ◽  
P.J. Legg ◽  
I. Andonovic

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