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158views Education» more  DM 2011»
9 years 5 months ago
A survey of homogeneous structures
A relational first order structure is homogeneous if it is countable (possibly finite) and every isomorphism between finite substructures extends to an automorphism. This artic...
Dugald Macpherson
132views more  JSC 2010»
9 years 12 months ago
Binary codes from the line graph of the n-cube
We examine designs and binary codes associated with the line graph of the n-cube Qn, i.e. the Hamming graph H(n, 2). We find the automorphism groups and the parameters of the cod...
W. Fish, Jennifer D. Key, E. Mwambene
82views more  ORDER 2000»
10 years 1 months ago
Embeddings into Orthomodular Lattices with Given Centers, State Spaces and Automorphism Groups
We prove that, given a nontrivial Boolean algebra B, a compact convex set S and a group G, there is an orthomodular lattice L with the center isomorphic to B, the automorphism grou...
John Harding, Mirko Navara
96views more  COMBINATORICS 2000»
10 years 1 months ago
Automorphisms and Enumeration of Switching Classes of Tournaments
Two tournaments T1 and T2 on the same vertex set X are said to be switching equivalent if X has a subset Y such that T2 arises from T1 by switching all arcs between Y and its comp...
László Babai, Peter J. Cameron
94views more  IJAC 2007»
10 years 1 months ago
Automorphism Groups of Squares and of Free Algebras
We show that certain finite groups do not arise as the automorphism group of the square of a finite algebraic structure, nor as the automorphism group of a finite, 2-generated, ...
Keith A. Kearnes, Steven T. Tschantz
10 years 1 months ago
Consistent Cycles in Graphs and Digraphs
Let Γ be a finite digraph and let G be a subgroup of the automorphism group of Γ. A directed cycle C of Γ is called G-consistent whenever there is an element of G whose restri...
Stefko Miklavic, Primoz Potocnik, Steve Wilson
10 years 1 months ago
A new family of locally 5-arc transitive graphs
We present a new family of locally 5–arc transitive graphs. The graphs constructed are bipartite with valency {2m + 1, 2m}. The actions of the automorphism group on the two bipa...
Michael Giudici, Cai Heng Li, Cheryl E. Praeger
66views more  JCT 2006»
10 years 1 months ago
Rank 3 Latin square designs
A Latin square design whose automorphism group is transitive of rank at most 3 on points must come from the multiplication table of an elementary abelian p-group, for some prime p...
Alice Devillers, J. I. Hall
129views more  DM 2007»
10 years 1 months ago
3-Designs with block size 6 from PSL(2, q) and their large sets
We investigate the existence of 3-designs and uniform large sets of 3-designs with block size 6 admitting PSL(2, q) as an automorphism group. We show the existence of simple 3-(28...
G. R. Omidi, M. R. Pournaki, Behruz Tayfeh-Rezaie
74views more  COMBINATORICS 2007»
10 years 1 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