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» Automorphic Decompositions of Graphs
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DM
2007
100views more  DM 2007»
13 years 7 months ago
Decompositions of signed-graphic matroids
We give a decomposition theorem for signed graphs whose frame matroids are binary and a decomposition theorem for signed graphs whose frame matroids are quaternary.
Daniel C. Slilaty, Hongxun Qin
GD
2006
Springer
13 years 11 months ago
Planar Decompositions and the Crossing Number of Graphs with an Excluded Minor
Tree decompositions of graphs are of fundamental importance in structural and algorithmic graph theory. Planar decompositions generalise tree decompositions by allowing an arbitrar...
David R. Wood, Jan Arne Telle
COMBINATORICS
2004
82views more  COMBINATORICS 2004»
13 years 7 months ago
Decomposing Infinite 2-Connected Graphs into 3-Connected Components
In the 1960's, Tutte presented a decomposition of a 2-connected finite graph into 3-connected graphs, cycles and bonds. This decomposition has been used to reduce problems on...
R. Bruce Richter
COMBINATORICS
2006
109views more  COMBINATORICS 2006»
13 years 7 months ago
The Strongly Regular (45, 12, 3, 3) Graphs
Using two backtrack algorithms based on different techniques, designed and implemented independently, we were able to determine up to isomorphism all strongly regular graphs with ...
Kris Coolsaet, Jan Degraer, Edward Spence
DM
2008
63views more  DM 2008»
13 years 7 months ago
Nomadic decompositions of bidirected complete graphs
We use K n to denote the bidirected complete graph on n vertices. A nomadic Hamiltonian decomposition of K n is a Hamiltonian decomposition, with the additional property that &quo...
Daniel W. Cranston