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JGT
2006
81views more  JGT 2006»
15 years 6 months ago
A Ramsey-type result for the hypercube
We prove that for every fixed k and 5 and for sufficiently large n, every edge coloring of the hypercube Qn with k colors contains a monochromatic cycle of length 2 . This answer...
Noga Alon, Rados Radoicic, Benny Sudakov, Jan Vond...
SPAA
2003
ACM
15 years 11 months ago
Short length menger's theorem and reliable optical routing
In the minimum path coloring problem, we are given a graph and a set of pairs of vertices of the graph and we are asked to connect the pairs by colored paths in such a way that pa...
Amitabha Bagchi, Amitabh Chaudhary, Petr Kolman
PERCOM
2008
ACM
16 years 13 days ago
TIGRA: Timely Sensor Data Collection Using Distributed Graph Coloring
In this paper we present a protocol for sensor applications that require periodic collection of raw data reports from the entire network in a timely manner. We formulate the probl...
Lilia Paradis, Qi Han
WAOA
2005
Springer
142views Algorithms» more  WAOA 2005»
15 years 11 months ago
On the Minimum Load Coloring Problem
Given a graph G = (V, E) with n vertices, m edges and maximum vertex degree ∆, the load distribution of a coloring ϕ : V → {red, blue} is a pair dϕ = (rϕ, bϕ), where rϕ i...
Nitin Ahuja, Andreas Baltz, Benjamin Doerr, Ales P...
SPAA
2009
ACM
16 years 26 days ago
Weak graph colorings: distributed algorithms and applications
We study deterministic, distributed algorithms for two weak variants of the standard graph coloring problem. We consider defective colorings, i.e., colorings where nodes of a colo...
Fabian Kuhn