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COMBINATORICS
2004
74views more  COMBINATORICS 2004»
13 years 4 months ago
Voltage Graphs, Group Presentations and Cages
We construct smallest known trivalent graphs for girths 16 and 18. One construction uses voltage graphs, and the other coset enumeration techniques for group presentations. AMS Su...
Geoffrey Exoo
ISSAC
2007
Springer
112views Mathematics» more  ISSAC 2007»
13 years 11 months ago
G-graphs for the cage problem: a new upper bound
Constructing some regular graph with a given girth, a given degree and the fewest possible vertices is a hard problem. This problem is called the cage graph problem and has some l...
Alain Bretto, Luc Gillibert