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GIS
2006
ACM
16 years 7 months ago
On-line maintenance of simplified weighted graphs for efficient distance queries
We give two efficient on-line algorithms to simplify weighted graphs by eliminating degree-two vertices. Our algorithms are on-line -- they react to updates on the data, keeping t...
Floris Geerts, Peter Z. Revesz, Jan Van den Bussch...
ISAAC
2004
Springer
121views Algorithms» more  ISAAC 2004»
15 years 11 months ago
Approximate Distance Oracles for Graphs with Dense Clusters
Let G be a graph containing N disjoint t-spanners that are inter-connected with M edges. We present an algorithm that constructs a data structure of size O(M2 + n log n) that answ...
Mattias Andersson, Joachim Gudmundsson, Christos L...
FOCS
2010
IEEE
15 years 3 months ago
Distance Oracles beyond the Thorup-Zwick Bound
We give the first improvement to the space/approximation trade-off of distance oracles since the seminal result of Thorup and Zwick [STOC'01]. For unweighted graphs, our dista...
Mihai Patrascu, Liam Roditty
COMPGEOM
2011
ACM
14 years 9 months ago
Sphere and dot product representations of graphs
A graph G is a k-sphere graph if there are k-dimensional real vectors v1, . . . , vn such that ij ∈ E(G) if and only if the distance between vi
Ross J. Kang, Tobias Müller
MLG
2007
Springer
16 years 2 days ago
Speeding Up Graph Edit Distance Computation with a Bipartite Heuristic
d Abstract) Kaspar Riesen, Stefan Fankhauser and Horst Bunke2
Kaspar Riesen, Stefan Fankhauser, Horst Bunke