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STOC
2003
ACM
126views Algorithms» more  STOC 2003»
14 years 8 months ago
A new approach to dynamic all pairs shortest paths
We study novel combinatorial properties of graphs that allow us to devise a completely new approach to dynamic all pairs shortest paths problems. Our approach yields a fully dynam...
Camil Demetrescu, Giuseppe F. Italiano
CORR
2011
Springer
184views Education» more  CORR 2011»
13 years 2 months ago
Finding Shortest Path for Developed Cognitive Map Using Medial Axis
— this paper presents an enhancement of the medial axis algorithm to be used for finding the optimal shortest path for developed cognitive map. The cognitive map has been develop...
Hazim A. Farhan, Hussein H. Owaied, Suhaib I. Al-G...
SODA
2007
ACM
131views Algorithms» more  SODA 2007»
13 years 9 months ago
On the K-simple shortest paths problem in weighted directed graphs
We obtain the first approximation algorithm for finding the k-simple shortest paths connecting a pair of vertices in a weighted directed graph. Our algorithm is deterministic an...
Liam Roditty
TCS
2010
13 years 6 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
COMPGEOM
2004
ACM
14 years 1 months ago
Geodesic ham-sandwich cuts
Let P be a simple polygon with m vertices, k of which are reflex, and which contains r red points and b blue points in its interior. Let n = m + r + b. A ham-sandwich geodesic is ...
Prosenjit Bose, Erik D. Demaine, Ferran Hurtado, J...