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» Classifying Borel automorphisms
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JCT
2010
58views more  JCT 2010»
13 years 5 months ago
Map operations and k-orbit maps
A k-orbit map is a map with k flag-orbits under the action of its automorphism group. We give a basic theory of k-orbit maps and classify them up to k 4. “Hurwitz-like” upper...
Alen Orbanic, Daniel Pellicer, Asia Ivic Weiss
EJC
2008
13 years 7 months ago
A classification of finite partial linear spaces with a primitive rank 3 automorphism group of grid type
A partial linear space is a non-empty set of points, provided with a collection of subsets called lines such that any pair of points is contained in at most one line and every lin...
Alice Devillers
GC
2006
Springer
13 years 6 months ago
The Semi-Arc Automorphism Group of a Graph with Application to Map Enumeration
A map is a connected topological graph cellularly embedded in a surface. For a given graph , its genus distribution of rooted maps and embeddings on orientable and non-orientable s...
Linfan Mao, Yanpei Liu, Erling Wei
COMBINATORICS
2007
74views more  COMBINATORICS 2007»
13 years 6 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
JCT
2010
135views more  JCT 2010»
13 years 5 months ago
Countable connected-homogeneous graphs
Abstract. A graph is connected-homogeneous if any isomorphism between finite connected induced subgraphs extends to an automorphism of the graph. In this paper we classify the cou...
Robert Gray, D. Macpherson