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COMBINATORICS
2000
114views more  COMBINATORICS 2000»
13 years 7 months ago
Trees and Matchings
In this article, Temperley's bijection between spanning trees of the square grid on the one hand, and perfect matchings (also known as dimer coverings) of the square grid on ...
Richard Kenyon, James Gary Propp, David Bruce Wils...
SOFSEM
2007
Springer
14 years 1 months ago
Competitive Maintenance of Minimum Spanning Trees in Dynamic Graphs
Abstract. We consider the problem of maintaining a minimum spanning tree within a graph with dynamically changing edge weights. An online algorithm is confronted with an input sequ...
Miroslaw Dynia, Miroslaw Korzeniowski, Jaroslaw Ku...
GD
2004
Springer
14 years 1 months ago
Partitions of Complete Geometric Graphs into Plane Trees
Consider the following question: does every complete geometric graph K2n have a partition of its edge set into n plane spanning trees? We approach this problem from three directio...
Prosenjit Bose, Ferran Hurtado, Eduardo Rivera-Cam...
STOC
2005
ACM
115views Algorithms» more  STOC 2005»
14 years 8 months ago
Lower-stretch spanning trees
We show that every weighted connected graph G contains as a subgraph a spanning tree into which the edges of G can be embedded with average stretch O log2 n log log n . Moreover, w...
Michael Elkin, Yuval Emek, Daniel A. Spielman, Sha...
ASPDAC
2004
ACM
120views Hardware» more  ASPDAC 2004»
14 years 1 months ago
Efficient octilinear Steiner tree construction based on spanning graphs
--Octilinear interconnect is a promising technique to shorten wire lengths. We present two practical heuristic octilinear Steiner tree (OSMT) algorithms in the paper. They are both...
Qi Zhu, Hai Zhou, Tong Jing, Xianlong Hong, Yang Y...