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SIAMDM
2008
118views more  SIAMDM 2008»
14 years 11 months ago
Ramsey-Type Problem for an Almost Monochromatic K4
In this short note we prove that there is a constant c such that every k-edge-coloring of the complete graph Kn with n 2ck contains a K4 whose edges receive at most two colors. Th...
Jacob Fox, Benny Sudakov
87
Voted
SASO
2008
IEEE
15 years 6 months ago
Wanderer between the Worlds - Self-Organized Network Stability in Attack and Random Failure Scenarios
Many real–world networks show a scale–free degree distribution, a structure that is known to be very stable in case of random failures. Unfortunately, the very same structure ...
Katharina Anna Zweig, Karin Zimmermann
NIPS
2007
15 years 1 months ago
Local Algorithms for Approximate Inference in Minor-Excluded Graphs
We present a new local approximation algorithm for computing MAP and logpartition function for arbitrary exponential family distribution represented by a finite-valued pair-wise ...
Kyomin Jung, Devavrat Shah
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
13 years 2 months ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
GD
2004
Springer
15 years 5 months ago
Drawing Power Law Graphs
It has been noted that many realistic graphs have a power law degree distribution and exhibit the small world phenomenon. We present drawing methods influenced by recent developm...
Reid Andersen, Fan R. K. Chung, Lincoln Lu