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» Automorphic Decompositions of Graphs
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MST
2011
231views Hardware» more  MST 2011»
14 years 4 months ago
On the Complexity of Matroid Isomorphism Problem
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σ p 2. In the case of linear matroids, which are represented over pol...
B. V. Raghavendra Rao, Jayalal M. N. Sarma
JGT
2007
54views more  JGT 2007»
15 years 1 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
130
Voted
JGT
2007
146views more  JGT 2007»
15 years 1 months ago
Compatible circuit decompositions of 4-regular graphs
A transition system T of an Eulerian graph G is a family of partitions of the edges incident to each vertex of G into transitions i.e. subsets of size two. A circuit decomposition...
Herbert Fleischner, François Genest, Bill J...
TSMC
1998
109views more  TSMC 1998»
15 years 1 months ago
Using graph parsing for automatic graph drawing
: This paper presents a procedure for automatically drawing directed graphs. Our system, CG, uses a unique clan-based graph decomposition to determine intrinsic substructures (clan...
Carolyn McCreary, Richard Chapman, Fwu-Shan Shieh
FOCS
2000
IEEE
15 years 6 months ago
On the Hardness of Graph Isomorphism
We show that the graph isomorphism problem is hard under DLOGTIME uniform AC0 many-one reductions for the complexity classes NL, PL (probabilistic logarithmic space) for every loga...
Jacobo Torán