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» Automorphic Decompositions of Graphs
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ISAAC
2005
Springer
123views Algorithms» more  ISAAC 2005»
13 years 10 months ago
Sampling Unlabeled Biconnected Planar Graphs
We present an expected polynomial time algorithm to generate a 2-connected unlabeled planar graph uniformly at random. To do this we first derive recurrence formulas to count the ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
JSC
2010
132views more  JSC 2010»
13 years 3 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
EJC
2006
13 years 5 months ago
Symplectic graphs and their automorphisms
The general symplectic graph Sp(2, q) is introduced. It is shown that Sp(2, q) is strongly regular. Its parameters are computed, its chromatic number and group of graph automorphis...
Zhongming Tang, Zhe-xian Wan
EJC
2007
13 years 5 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
DM
2008
89views more  DM 2008»
13 years 5 months ago
Primitive 2-factorizations of the complete graph
Let F be a 2-factorization of the complete graph Kv admitting an automorphism group G acting primitively on the set of vertices. If F consists of Hamiltonian cycles, then F is the...
Giuseppe Mazzuoccolo