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SSS
2005
Springer
15 years 11 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»
16 years 3 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
16 years 7 days 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»
16 years 7 days 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»
15 years 7 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...