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ECCC
2008
65views more  ECCC 2008»
13 years 4 months ago
A Lower Bound on the Size of Series-Parallel Graphs Dense in Long Paths
One way to quantify how dense a multidag is in long paths is to find the largest n, m such that whichever n edges are removed, there is still a path from an original input to an ...
Chris Calabro
CORR
2012
Springer
228views Education» more  CORR 2012»
12 years 9 days ago
Faster Approximate Distance Queries and Compact Routing in Sparse Graphs
A distance oracle is a compact representation of the shortest distance matrix of a graph. It can be queried to retrieve approximate distances and corresponding paths between any p...
Rachit Agarwal, Brighten Godfrey, Sariel Har-Peled
STOC
2004
ACM
121views Algorithms» more  STOC 2004»
14 years 4 months ago
Lower bounds for dynamic connectivity
We prove an (lg n) cell-probe lower bound on maintaining connectivity in dynamic graphs, as well as a more general trade-off between updates and queries. Our bound holds even if t...
Mihai Patrascu, Erik D. Demaine
FOCS
2009
IEEE
13 years 11 months ago
Distance Oracles for Sparse Graphs
Abstract— Thorup and Zwick, in their seminal work, introduced the approximate distance oracle, which is a data structure that answers distance queries in a graph. For any integer...
Christian Sommer 0002, Elad Verbin, Wei Yu