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» Induced subgraphs of given sizes
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SODA
2010
ACM
209views Algorithms» more  SODA 2010»
14 years 4 months ago
Counting Stars and Other Small Subgraphs in Sublinear Time
Detecting and counting the number of copies of certain subgraphs (also known as network motifs or graphlets), is motivated by applications in a variety of areas ranging from Biolo...
Mira Gonen, Dana Ron, Yuval Shavitt
ALT
2007
Springer
13 years 11 months ago
Cluster Identification in Nearest-Neighbor Graphs
Abstract. Assume we are given a sample of points from some underlying distribution which contains several distinct clusters. Our goal is to construct a neighborhood graph on the sa...
Markus Maier, Matthias Hein, Ulrike von Luxburg
DAM
2008
131views more  DAM 2008»
13 years 7 months ago
Partition into cliques for cubic graphs: Planar case, complexity and approximation
Given a graph G = (V, E) and a positive integer k, the PARTITION INTO CLIQUES (PIC) decision problem consists of deciding whether there exists a partition of V into k disjoint sub...
Márcia R. Cerioli, L. Faria, T. O. Ferreira...
ICALP
2009
Springer
14 years 7 months ago
Counting Subgraphs via Homomorphisms
We introduce a generic approach for counting subgraphs in a graph. The main idea is to relate counting subgraphs to counting graph homomorphisms. This approach provides new algori...
Omid Amini, Fedor V. Fomin, Saket Saurabh
DMTCS
2010
157views Mathematics» more  DMTCS 2010»
13 years 4 months ago
Edge-Removal and Non-Crossing Configurations in Geometric Graphs
A geometric graph is a graph G = (V, E) drawn in the plane, such that V is a point set in general position and E is a set of straight-line segments whose endpoints belong to V . W...
Oswin Aichholzer, Sergio Cabello, Ruy Fabila Monro...