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APPROX
2008
Springer
184views Algorithms» more  APPROX 2008»
13 years 11 months ago
Approximately Counting Embeddings into Random Graphs
Let H be a graph, and let CH(G) be the number of (subgraph isomorphic) copies of H contained in a graph G. We investigate the fundamental problem of estimating CH(G). Previous res...
Martin Fürer, Shiva Prasad Kasiviswanathan
CORR
2011
Springer
205views Education» more  CORR 2011»
13 years 4 months ago
Random Walk on Directed Dynamic Graphs
Dynamic graphs have emerged as an appropriate model to capture the changing nature of many modern networks, such as peer-to-peer overlays and mobile ad hoc networks. Most of the re...
Oksana Denysyuk, Luis Rodrigues
SDM
2009
SIAM
104views Data Mining» more  SDM 2009»
14 years 6 months ago
On Randomness Measures for Social Networks.
Social networks tend to contain some amount of randomness and some amount of non-randomness. The amount of randomness versus non-randomness affects the properties of a social netw...
Xiaowei Ying, Xintao Wu
ALGORITHMICA
2004
150views more  ALGORITHMICA 2004»
13 years 9 months ago
Sum Coloring of Bipartite Graphs with Bounded Degree
We consider the Chromatic Sum Problem on bipartite graphs which appears to be much harder than the classical Chromatic Number Problem. We prove that the Chromatic Sum Problem is NP...
Michal Malafiejski, Krzysztof Giaro, Robert Jancze...
FOCS
2002
IEEE
14 years 2 months ago
A Lower Bound for Testing 3-Colorability in Bounded-Degree Graphs
We consider the problem of testing 3-colorability in the bounded-degree model. We show that, for small enough ε, every tester for 3colorability must have query complexity Ω(n)....
Andrej Bogdanov, Kenji Obata, Luca Trevisan