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SPAA
1993
ACM
15 years 3 months ago
Optimal Parallel Construction of Hamiltonian Cycles and Spanning Trees in Random Graphs
We give tight bounds on the parallel complexity of some problems involving random graphs. Speci cally, we show that a Hamiltonian cycle, a breadth rst spanning tree, and a maximal...
Philip D. MacKenzie, Quentin F. Stout
TCAD
2008
195views more  TCAD 2008»
14 years 11 months ago
Multilayer Obstacle-Avoiding Rectilinear Steiner Tree Construction Based on Spanning Graphs
Given a set of pins and a set of obstacles on routing layers, a multilayer obstacle-avoiding rectilinear Steiner minimal tree (ML-OARSMT) connects these pins by rectilinear edges w...
Chung-Wei Lin, Shih-Lun Huang, Kai-Chi Hsu, Meng-X...
ISPD
2010
ACM
207views Hardware» more  ISPD 2010»
15 years 6 months ago
FOARS: FLUTE based obstacle-avoiding rectilinear steiner tree construction
Obstacle-avoiding rectilinear Steiner minimal tree (OARSMT) construction is becoming one of the most sought after problems in modern design flow. In this paper we present FOARS, ...
Gaurav Ajwani, Chris Chu, Wai-Kei Mak
FOCS
2006
IEEE
15 years 5 months ago
Minimum Bounded Degree Spanning Trees
We consider the minimum cost spanning tree problem under the restriction that all degrees must be at most a given value k. We show that we can efficiently find a spanning tree o...
Michel X. Goemans
WDAG
2007
Springer
162views Algorithms» more  WDAG 2007»
15 years 5 months ago
A Distributed Algorithm for Finding All Best Swap Edges of a Minimum Diameter Spanning Tree
Communication in networks suffers if a link fails. When the links are edges of a tree that has been chosen from an underlying graph of all possible links, a broken link even disco...
Beat Gfeller, Nicola Santoro, Peter Widmayer