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JCO
2006
66views more  JCO 2006»
13 years 11 months ago
Tree edge decomposition with an application to minimum ultrametric tree approximation
A k-decomposition of a tree is a process in which the tree is recursively partitioned into k edge-disjoint subtrees until each subtree contains only one edge. We investigated the p...
Chia-Mao Huang, Bang Ye Wu, Chang-Biau Yang
COMPGEOM
2008
ACM
14 years 21 days ago
Circular partitions with applications to visualization and embeddings
We introduce a hierarchical partitioning scheme of the Euclidean plane, called circular partitions. Such a partition consists of a hierarchy of convex polygons, each having small ...
Krzysztof Onak, Anastasios Sidiropoulos
EOR
2006
130views more  EOR 2006»
13 years 11 months ago
A Benders decomposition approach for the robust spanning tree problem with interval data
The robust spanning tree problem is a variation, motivated by telecommunications applications, of the classic minimum spanning tree problem. In the robust spanning tree problem ed...
Roberto Montemanni
SODA
2004
ACM
151views Algorithms» more  SODA 2004»
14 years 8 days ago
Minimum moment Steiner trees
For a rectilinear Steiner tree T with a root, define its k-th moment Mk(T) = T (dT (u))k du, where the integration is over all edges of T, dT (u) is the length of the unique path ...
Wangqi Qiu, Weiping Shi
SODA
1998
ACM
157views Algorithms» more  SODA 1998»
14 years 7 days ago
A Polynomial Time Approximation Scheme for Minimum Routing Cost Spanning Trees
Given an undirected graph with nonnegative costs on the edges, the routing cost of any of its spanning trees is the sum over all pairs of vertices of the cost of the path between t...
Bang Ye Wu, Giuseppe Lancia, Vineet Bafna, Kun-Mao...