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SSS
2005
Springer
15 years 3 months ago
Synchronous vs. Asynchronous Unison
This paper considers the self-stabilizing unison problem. The contribution of this paper is threefold. First, we establish that when any self-stabilizing asynchronous unison protoc...
Christian Boulinier, Franck Petit, Vincent Villain
SODA
2010
ACM
149views Algorithms» more  SODA 2010»
15 years 7 months ago
Resource Minimization for Fire Containment
We consider the following model for fire containment. We are given an undirected graph G = (V, E) with a source vertex s where the fire starts. At each time step, the firefighters...
Parinya Chalermsook, Julia Chuzhoy
GD
2007
Springer
15 years 4 months ago
A Bipartite Strengthening of the Crossing Lemma
Let G = (V, E) be a graph with n vertices and m ≥ 4n edges drawn in the plane. The celebrated Crossing Lemma states that G has at least Ω(m3 /n2 ) pairs of crossing edges; or ...
Jacob Fox, János Pach, Csaba D. Tóth
GECCO
2007
Springer
162views Optimization» more  GECCO 2007»
15 years 4 months ago
Some novel locality results for the blob code spanning tree representation
The Blob Code is a bijective tree code that represents each tree on n labelled vertices as a string of n − 2 vertex labels. In recent years, several researchers have deployed th...
Tim Paulden, David K. Smith
SODA
2008
ACM
105views Algorithms» more  SODA 2008»
14 years 11 months ago
Deterministic random walks on regular trees
Jim Propp's rotor router model is a deterministic analogue of a random walk on a graph. Instead of distributing chips randomly, each vertex serves its neighbors in a fixed or...
Joshua N. Cooper, Benjamin Doerr, Tobias Friedrich...