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» Packing Cliques in Graphs with Independence Number 2
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SODA
2012
ACM
253views Algorithms» more  SODA 2012»
11 years 10 months ago
Kernelization of packing problems
Kernelization algorithms are polynomial-time reductions from a problem to itself that guarantee their output to have a size not exceeding some bound. For example, d-Set Matching f...
Holger Dell, Dániel Marx
TALG
2008
127views more  TALG 2008»
13 years 7 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
ATMOS
2007
119views Optimization» more  ATMOS 2007»
13 years 9 months ago
Models for Railway Track Allocation
The optimal track allocation problem (OPTRA) is to find, in a given railway network, a conflict free set of train routes of maximum value. We study two types of integer programmi...
Ralf Borndörfer, Thomas Schlechte
SWAT
2004
Springer
163views Algorithms» more  SWAT 2004»
14 years 27 days ago
New Algorithms for Enumerating All Maximal Cliques
In this paper, we consider the problems of generating all maximal (bipartite) cliques in a given (bipartite) graph G = (V, E) with n vertices and m edges. We propose two algorithms...
Kazuhisa Makino, Takeaki Uno
DAM
2007
81views more  DAM 2007»
13 years 7 months ago
Graphs, partitions and Fibonacci numbers
The Fibonacci number of a graph is the number of independent vertex subsets. In this paper, we investigate trees with large Fibonacci number. In particular, we show that all trees...
Arnold Knopfmacher, Robert F. Tichy, Stephan Wagne...