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» Liftings of automorphisms of hypermaps
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DM
2000
73views more  DM 2000»
13 years 4 months ago
Liftings of automorphisms of hypermaps
David B. Surowski
DM
2010
94views more  DM 2010»
13 years 5 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
COMBINATORICS
2007
74views more  COMBINATORICS 2007»
13 years 4 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
EJC
2006
13 years 5 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
JCT
2006
100views more  JCT 2006»
13 years 4 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