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» Hardness of routing with congestion in directed graphs
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STOC
2004
ACM
131views Algorithms» more  STOC 2004»
14 years 5 months ago
(Almost) tight bounds and existence theorems for confluent flows
A flow is said to be confluent if at any node all the flow leaves along a single edge. Given a directed graph G with k sinks and non-negative demands on all the nodes of G, we con...
Jiangzhuo Chen, Robert D. Kleinberg, Lászl&...
DAC
2003
ACM
14 years 5 months ago
Improved global routing through congestion estimation
In this paper, we present a new method to improve global routing results. By using an amplified congestion estimate to influence a rip-up and reroute approach, we obtain substanti...
Raia Hadsell, Patrick H. Madden
SIGMETRICS
2003
ACM
150views Hardware» more  SIGMETRICS 2003»
13 years 10 months ago
Conductance and congestion in power law graphs
It has been observed that the degrees of the topologies of several communication networks follow heavy tailed statistics. What is the impact of such heavy tailed statistics on the...
Christos Gkantsidis, Milena Mihail, Amin Saberi
STOC
2006
ACM
174views Algorithms» more  STOC 2006»
14 years 5 months ago
Edge-disjoint paths in Planar graphs with constant congestion
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs s1t1, s2t2, . . ., sktk, the goal is to maximize the number of pairs t...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd
SPAA
2004
ACM
13 years 10 months ago
Lower bounds for graph embeddings and combinatorial preconditioners
Given a general graph G, a fundamental problem is to find a spanning tree H that best approximates G by some measure. Often this measure is some combination of the congestion and...
Gary L. Miller, Peter C. Richter