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» Adjacency queries in dynamic sparse graphs
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IPL
2007
101views more  IPL 2007»
13 years 4 months ago
Adjacency queries in dynamic sparse graphs
We deal with the problem of maintaining a dynamic graph so that queries of the form “is there an edge between u and v?” are processed fast. We consider graphs of bounded arbor...
Lukasz Kowalik
APPROX
2007
Springer
100views Algorithms» more  APPROX 2007»
13 years 11 months ago
Implementing Huge Sparse Random Graphs
Consider a scenario where one desires to simulate the execution of some graph algorithm on random input graphs of huge, perhaps even exponential size. Sampling and storing these h...
Moni Naor, Asaf Nussboim
WG
2005
Springer
13 years 10 months ago
Fully Dynamic Algorithm for Recognition and Modular Decomposition of Permutation Graphs
This paper considers the problem of maintaining a compact representation (O(n) space) of permutation graphs under vertex and edge modifications (insertion or deletion). That repr...
Christophe Crespelle, Christophe Paul
CCCG
2010
13 years 6 months ago
Connected dominating sets on dynamic geometric graphs
We propose algorithms for efficiently maintaining a constant-approximate minimum connected dominating set (MCDS) of a geometric graph under node insertions and deletions. Assuming...
Leonidas J. Guibas, Nikola Milosavljevic, Arik Mot...
ESA
2008
Springer
102views Algorithms» more  ESA 2008»
13 years 6 months ago
Succinct Representations of Arbitrary Graphs
Abstract. We consider the problem of encoding a graph with n vertices and m edges compactly supporting adjacency, neighborhood and degree queries in constant time in the log n-bit ...
Arash Farzan, J. Ian Munro