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» Vertex and Hyperedge Connectivity in Dynamic Graph Streams
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FOCS
2006
IEEE
15 years 3 months ago
Approximate Min-Max Theorems of Steiner Rooted-Orientations of Hypergraphs
Given an undirected hypergraph and a subset of vertices S ⊆ V with a specified root vertex r ∈ S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the...
Tamás Király, Lap Chi Lau
ISAAC
2007
Springer
100views Algorithms» more  ISAAC 2007»
15 years 3 months ago
Dynamic Distance Hereditary Graphs Using Split Decomposition
The problem of maintaining a representation of a dynamic graph as long as a certain property is satisfied has recently been considered for a number of properties. This paper prese...
Emeric Gioan, Christophe Paul
STOC
2010
ACM
211views Algorithms» more  STOC 2010»
15 years 6 months ago
Maintaining a Large Matching or a Small Vertex Cover
We consider the problem of maintaining a large matching or a small vertex cover in a dynamically changing graph. Each update to the graph is either an edge deletion or an edge ins...
Krzysztof Onak and Ronitt Rubinfeld
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
15 years 1 months ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...
ESA
1997
Springer
93views Algorithms» more  ESA 1997»
15 years 1 months ago
Quasi-Fully Dynamic Algorithms for Two-Connectivity, Cycle Equivalence and Related Problems
In thispaper we introduce a new class of dynamicgraphalgorithmscalledquasi-fully dynamic algorithms,which are much more general than the backtracking algorithmsand are much simple...
Madhukar R. Korupolu, Vijaya Ramachandran