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» On Finding the Number of Graph Automorphisms
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DAC
2008
ACM
14 years 8 months ago
Faster symmetry discovery using sparsity of symmetries
Many computational tools have recently begun to benefit from the use of the symmetry inherent in the tasks they solve, and use general-purpose graph symmetry tools to uncover this...
Paul T. Darga, Karem A. Sakallah, Igor L. Markov
IPL
2008
98views more  IPL 2008»
13 years 7 months ago
On the number of Go positions on lattice graphs
We use transfer matrix methods to determine bounds for the numbers of legal Go positions for various numbers of players on some planar lattice graphs, including square lattice gra...
Graham Farr, Johannes Schmidt
JGT
2007
54views more  JGT 2007»
13 years 7 months ago
Overlap in consistent cycles
: A (directed) cycle C in a graph is called consistent provided there exists an automorphism of , acting as a 1-step rotation of C. A beautiful but not well-known result of J.H. Co...
Stefko Miklavic, Primoz Potocnik, Steve Wilson
JCT
2008
70views more  JCT 2008»
13 years 7 months ago
The number of possibilities for random dating
Let G be a regular graph and H a subgraph on the same vertex set. We give surprisingly compact formulas for the number of copies of H one expects to find in a random subgraph of G...
Aaron Abrams, Rod Canfield, Andrew Granville
DAM
2008
134views more  DAM 2008»
13 years 7 months ago
Efficient algorithms for finding critical subgraphs
This paper presents algorithms to find vertex-critical and edgecritical subgraphs in a given graph G, and demonstrates how these critical subgraphs can be used to determine the ch...
Christian Desrosiers, Philippe Galinier, Alain Her...