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ECCC
2006
88views more  ECCC 2006»
14 years 14 days ago
Hardness of Directed Routing with Congestion
Given a graph G and a collection of source-sink pairs in G, what is the least integer c such that each source can be connected by a path to its sink, with at most c paths going th...
Julia Chuzhoy, Sanjeev Khanna
ISPD
1999
ACM
108views Hardware» more  ISPD 1999»
14 years 4 months ago
On the behavior of congestion minimization during placement
Typical placement objectives involve reducing net-cut cost or minimizing wirelength. Congestion minimization is least understood, however, it models routability accurately. In thi...
Maogang Wang, Majid Sarrafzadeh
SLIP
2003
ACM
14 years 5 months ago
Perimeter-degree: a priori metric for directly measuring and homogenizing interconnection complexity in multilevel placement
In this paper, we describe an accurate metric (perimeter-degree) for measuring interconnection complexity and effective use of it for controlling congestion in a multilevel framew...
Navaratnasothie Selvakkumaran, Phiroze N. Parakh, ...
STOC
2006
ACM
113views Algorithms» more  STOC 2006»
14 years 6 months ago
Logarithmic hardness of the directed congestion minimization problem
We show that for any constant ε > 0, there is no Ω(log1−ε M)approximation algorithm for the directed congestion minimization problem on networks of size M unless NP ⊆ Z...
Matthew Andrews, Lisa Zhang