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SAC
2006
ACM
16 years 22 days ago
Spatial geometric constraint solving based on k-connected graph decomposition
We propose a geometric constraint solving method based on connectivity analysis in graph theory, which can be used to decompose a well-constrained problem into some smaller ones i...
Gui-Fang Zhang, Xiao-Shan Gao
FOCS
2002
IEEE
15 years 11 months ago
Graph Isomorphism is in SPP
We show that Graph Isomorphism is in the complexity class SPP, and hence it is in ⊕P (in fact, it is in ModkP for each k ≥ 2). We derive this result as a corollary of a more g...
Vikraman Arvind, Piyush P. Kurur
ARSCOM
2004
75views more  ARSCOM 2004»
15 years 6 months ago
On Theorems Equivalent with Kotzig's Result on Graphs with Unique 1-Factors
We show that several known theorems on graphs and digraphs are equivalent. The list of equivalent theorems include Kotzig's result on graphs with unique 1-factors, a lemma by...
Stefan Szeider
WG
2010
Springer
15 years 5 months ago
On the Small Cycle Transversal of Planar Graphs
We consider the problem of finding a k-edge transversal set that covers all (simple) cycles of length at most s in a planar graph, where s ≥ 3 is a constant. This problem, refe...
Ge Xia, Yong Zhang
COCOON
2009
Springer
16 years 1 months ago
Computing Bond Types in Molecule Graphs
In this paper, we deal with restoring missing information in molecule databases: Some data formats only store the atoms’ configuration but omit bond multiplicities. As this info...
Sebastian Böcker, Quang Bao Anh Bui, Patrick ...