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» Testing subgraphs in large graphs
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ENDM
2007
88views more  ENDM 2007»
13 years 9 months ago
Graph coloring with no large monochromatic components
For a graph G and an integer t we let mcct(G) be the smallest m such that there exists a coloring of the vertices of G by t colors with no monochromatic connected subgraph having ...
Nathan Linial, Jirí Matousek, Or Sheffet, G...
WG
2005
Springer
14 years 2 months ago
Induced Subgraphs of Bounded Degree and Bounded Treewidth
We prove that for all 0 ≤ t ≤ k and d ≥ 2k, every graph G with treewidth at most k has a ‘large’ induced subgraph H, where H has treewidth at most t and every vertex in ...
Prosenjit Bose, Vida Dujmovic, David R. Wood
IPPS
2010
IEEE
13 years 7 months ago
Large scale complex network analysis using the hybrid combination of a MapReduce cluster and a highly multithreaded system
Complex networks capture interactions among entities in various application areas in a graph representation. Analyzing large scale complex networks often answers important question...
Seunghwa Kang, David A. Bader
DM
2008
76views more  DM 2008»
13 years 9 months ago
Graphic sequences with a realization containing a complete multipartite subgraph
A nonincreasing sequence of nonnegative integers = (d1, d2, ..., dn) is graphic if there is a (simple) graph G of order n having degree sequence . In this case, G is said to reali...
Guantao Chen, Michael Ferrara, Ronald J. Gould, Jo...
SODA
2010
ACM
209views Algorithms» more  SODA 2010»
14 years 6 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