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» Liftings of automorphisms of hypermaps
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60
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DM
2000
73views more  DM 2000»
14 years 9 months ago
Liftings of automorphisms of hypermaps
David B. Surowski
84
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DM
2010
94views more  DM 2010»
14 years 9 months ago
Hypermap operations of finite order
Abstract: Duality and chirality are examples of operations of order 2 on hypermaps. James showed that the groups of all operations on hypermaps and on oriented hypermaps can be ide...
Gareth A. Jones, Daniel Pinto
76
Voted
COMBINATORICS
2007
74views more  COMBINATORICS 2007»
14 years 9 months ago
Bipartite-Uniform Hypermaps on the Sphere
A hypermap is (hypervertex-) bipartite if its hypervertices can be 2-coloured in such a way that “neighbouring” hypervertices have different colours. It is bipartiteuniform i...
Antonio Breda d'Azevedo, Rui Duarte
71
Voted
EJC
2006
14 years 9 months ago
Invariant subspaces, duality, and covers of the Petersen graph
A general method for finding elementary abelian regular covering projections of finite connected graphs is applied to the Petersen graph. As a result, a complete list of pairwise ...
Aleksander Malnic, Primoz Potocnik
54
Voted
JCT
2006
100views more  JCT 2006»
14 years 9 months ago
Enumeration of unrooted maps of a given genus
Let Ng(f ) denote the number of rooted maps of genus g having f edges. An exact formula for Ng(f ) is known for g = 0 (Tutte, 1963), g = 1 (Arques, 1987), g = 2,3 (Bender and Canf...
Alexander Mednykh, Roman Nedela