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119
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COMPGEOM
2004
ACM
15 years 7 months ago
New results on shortest paths in three dimensions
We revisit the problem of computing shortest obstacle-avoiding paths among obstacles in three dimensions. We prove new hardness results, showing, e.g., that computing Euclidean sh...
Joseph S. B. Mitchell, Micha Sharir
SIAMCOMP
2010
133views more  SIAMCOMP 2010»
15 years 24 days ago
Faster Algorithms for All-pairs Approximate Shortest Paths in Undirected Graphs
Let G = (V, E) be a weighted undirected graph having non-negative edge weights. An estimate ˆδ(u, v) of the actual distance δ(u, v) between u, v ∈ V is said to be of stretch t...
Surender Baswana, Telikepalli Kavitha
115
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STACS
2010
Springer
15 years 9 months ago
Dispersion in Unit Disks
We present two new approximation algorithms with (improved) constant ratios for selecting n points in n unit disks such that the minimum pairwise distance among the points is maxi...
Adrian Dumitrescu, Minghui Jiang
COCOON
2011
Springer
14 years 2 months ago
Finding Paths with Minimum Shared Edges
Motivated by a security problem in geographic information systems, we study the following graph theoretical problem: given a graph G, two special nodes s and t in G, and a number k...
Masoud T. Omran, Jörg-Rüdiger Sack, Hami...
125
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LCN
1999
IEEE
15 years 6 months ago
The New Shortest Best Path Tree (SBPT) Algorithm for Dynamic Multicast Trees
This paper presents the new Shortest Best Path Tree (SBPT) algorithm for multicast trees. The SBPT algorithm establishes and maintains dynamic multicast trees which maximize the b...
Hiroshi Fujinoki, Kenneth J. Christensen