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JCT
2010
58views more  JCT 2010»
14 years 10 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
14 years 11 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
14 years 11 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»
14 years 11 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»
14 years 10 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