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TCS
2010
13 years 7 months ago
Euclidean TSP on two polygons
We give an O(n2 m + nm2 + m2 log m) time and O(n2 + m2 ) space algorithm for finding the shortest traveling salesman tour through the vertices of two simple polygonal obstacles i...
Jeff Abrahamson, Ali Shokoufandeh
ICALP
2001
Springer
14 years 1 months ago
Routing in Trees
Given an undirected graph with positive edge weights, define Nq(v) for each node v to be the set of q nodes closest to v (including v itself and breaking ties by node ID). It is ...
Pierre Fraigniaud, Cyril Gavoille
SIAMCOMP
2010
120views more  SIAMCOMP 2010»
13 years 7 months ago
Edge Disjoint Paths in Moderately Connected Graphs
Abstract. We study the Edge Disjoint Paths (EDP) problem in undirected graphs: Given a graph G with n nodes and a set T of pairs of terminals, connect as many terminal pairs as pos...
Satish Rao, Shuheng Zhou
ICDT
2009
ACM
105views Database» more  ICDT 2009»
14 years 9 months ago
Efficient data structures for range-aggregate queries on trees
Graph-theoretic aggregation problems have been considered both in OLAP (grid graph) and XML (tree). This paper gives new results for MIN aggregation in a tree, where we want the M...
Hao Yuan, Mikhail J. Atallah
COMGEO
2011
ACM
13 years 3 months ago
Covering points by disjoint boxes with outliers
For a set of n points in the plane, we consider the axis–aligned (p, k)-Box Covering problem: Find p axis-aligned, pairwise-disjoint boxes that together contain at least n − k...
Hee-Kap Ahn, Sang Won Bae, Erik D. Demaine, Martin...