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» Fully dynamic algorithms for chordal graphs and split graphs
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TALG
2008
127views more  TALG 2008»
13 years 4 months ago
Fully dynamic algorithms for chordal graphs and split graphs
We present the rst dynamic algorithm that maintains a clique tree representation of a chordal graph and supports the following operations: (1) query whether deleting or inserting ...
Louis Ibarra
ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
13 years 5 months ago
A Fully Dynamic Graph Algorithm for Recognizing Interval Graphs
We present the first dynamic graph algorithm for recognizing interval graphs. The algorithm runs in O(n log n) worst-case time per edge deletion or edge insertion, where n is the ...
Louis Ibarra
WG
2005
Springer
13 years 10 months ago
Faster Dynamic Algorithms for Chordal Graphs, and an Application to Phylogeny
We improve the current complexities for maintaining a chordal graph by starting with an empty graph and repeatedly adding or deleting edges.
Anne Berry, Alain Sigayret, Jeremy Spinrad
IPL
2010
115views more  IPL 2010»
13 years 3 months ago
Hardness and approximation of minimum distortion embeddings
We show that the problem of computing a minimum distortion embedding of a given graph into a path remains NP-hard when the input graph is restricted to a bipartite, cobipartite, o...
Pinar Heggernes, Daniel Meister
STACS
1994
Springer
13 years 9 months ago
On the Complexity of the Maximum Cut Problem
The complexity of the simple maxcut problem is investigated for several special classes of graphs. It is shown that this problem is NP-complete when restricted to one of the follo...
Hans L. Bodlaender, Klaus Jansen