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» On the graph isomorphism problem
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GCB
2004
Springer
139views Biometrics» more  GCB 2004»
15 years 5 months ago
Graph Alignments: A New Concept to Detect Conserved Regions in Protein Active Sites
: We introduce the novel concept of graph alignment, a generalization of graph isomorphism that is motivated by the commonly used multiple sequence alignments. Graph alignments and...
Nils Weskamp, Eyke Hüllermeier, Daniel Kuhn, ...
CORR
2010
Springer
90views Education» more  CORR 2010»
14 years 12 months ago
Logical complexity of graphs: a survey
We discuss the definability of finite graphs in first-order logic with two relation symbols for adjacency and equality of vertices. The logical depth D(G) of a graph G is equal to ...
Oleg Pikhurko, Oleg Verbitsky
JGT
2006
60views more  JGT 2006»
14 years 11 months ago
Spanning subgraphs of graphs partitioned into two isomorphic pieces
: A graph has the neighbor-closed-co-neighbor, or ncc property, if for each of its vertices x, the subgraph induced by the neighbor set of x is isomorphic to the subgraph induced b...
Anthony Bonato
CVPR
2008
IEEE
16 years 1 months ago
Articulated shape matching using Laplacian eigenfunctions and unsupervised point registration
Matching articulated shapes represented by voxel-sets reduces to maximal sub-graph isomorphism when each set is described by a weighted graph. Spectral graph theory can be used to...
Diana Mateus, Radu Horaud, David Knossow, Fabio Cu...
FOCS
2007
IEEE
15 years 6 months ago
Can you beat treewidth?
: It is well-known that constraint satisfaction problems (CSP) over an unbounded domain can be solved in time nO(k) if the treewidth of the primal graph of the instance is at most ...
Dániel Marx