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SIAMDM
2008
118views more  SIAMDM 2008»
13 years 7 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
SIAMDM
2010
131views more  SIAMDM 2010»
13 years 2 months ago
On Optimal Strategies for a Hat Game on Graphs
The following problem was introduced by Marcin Krzywkowski as a generalization of a problem of Todd Ebert. After initially coordinating a strategy, n players each occupy a differe...
Uriel Feige
WWW
2009
ACM
14 years 8 months ago
Graffiti: node labeling in heterogeneous networks
We introduce a multi-label classification model and algorithm for labeling heterogeneous networks, where nodes belong to different types and different types have different sets of...
Ralitsa Angelova, Gjergji Kasneci, Fabian M. Sucha...
COMBINATORICA
2007
148views more  COMBINATORICA 2007»
13 years 7 months ago
Colored graphs without colorful cycles
A colored graph is a complete graph in which a color has been assigned to each edge, and a colorful cycle is a cycle in which each edge has a different color. We first show that ...
Richard N. Ball, Ales Pultr, Petr Vojtechovsk&yacu...
PODC
2010
ACM
13 years 11 months ago
Deterministic distributed vertex coloring in polylogarithmic time
Consider an n-vertex graph G = (V, E) of maximum degree ∆, and suppose that each vertex v ∈ V hosts a processor. The processors are allowed to communicate only with their neig...
Leonid Barenboim, Michael Elkin