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» The Longest Path Problem Is Polynomial on Interval Graphs
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TCS
2010
13 years 2 months ago
On the complexity of finding chordless paths in bipartite graphs and some interval operators in graphs and hypergraphs
In this paper we show that the problem of finding a chordless path between a vertex s and a vertex t containing a vertex v remains NP-complete in bipartite graphs, thereby strengt...
Mauro Mezzini
CSR
2009
Springer
14 years 1 months ago
Partitioning Graphs into Connected Parts
The 2-Disjoint Connected Subgraphs problem asks if a given graph has two vertex-disjoint connected subgraphs containing prespecified sets of vertices. We show that this problem is...
Pim van 't Hof, Daniël Paulusma, Gerhard J. W...
COR
2007
99views more  COR 2007»
13 years 7 months ago
An improved algorithm for the p-center problem on interval graphs with unit lengths
The p-center problem is to locate p facilities in a network of n demand points so as to minimize the longest distance between a demand point and its nearest facility. We consider ...
T. C. Edwin Cheng, Liying Kang, C. T. Ng
ICDM
2005
IEEE
142views Data Mining» more  ICDM 2005»
14 years 29 days ago
Shortest-Path Kernels on Graphs
Data mining algorithms are facing the challenge to deal with an increasing number of complex objects. For graph data, a whole toolbox of data mining algorithms becomes available b...
Karsten M. Borgwardt, Hans-Peter Kriegel
ISAAC
2009
Springer
113views Algorithms» more  ISAAC 2009»
13 years 12 months ago
On Shortest Disjoint Paths in Planar Graphs
For a graph G and a collection of vertex pairs {(s1, t1), . . . , (sk, tk)}, the k disjoint paths problem is to find k vertex-disjoint paths P1, . . . , Pk, where Pi is a path fr...
Yusuke Kobayashi, Christian Sommer 0002