Rolf Niedermeier | TU Berlin (original) (raw)
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Papers by Rolf Niedermeier
National Conference on Artificial Intelligence, 2010
Lecture Notes in Computer Science, 2011
Lecture Notes in Computer Science, 1998
... However, only elementary combinatorial considerations have been used for this result and mayb... more ... However, only elementary combinatorial considerations have been used for this result and maybe with the help of machine support one could still ... to Jin Wiedermann for inviting me to a talk on the presented topic, which together with the lecture notes served ... The MIT Press, 1990 ...
Lecture Notes in Computer Science, 2010
Important variants of the Vertex Cover problem (among others, Connected Vertex Cover, Capacitated... more Important variants of the Vertex Cover problem (among others, Connected Vertex Cover, Capacitated Vertex Cover, and Maximum Partial Vertex Cover) have been intensively studied in terms of polynomial-time approximability. By way of contrast, their parameterized complexity,has so far been completely,open. We close this gap here by showing that, with the size of the desired vertex cover as parameter, Connected
Lecture Notes in Computer Science, 2009
Lecture Notes in Computer Science, 2010
Lecture Notes in Computer Science, 1999
The problem instance of Vertex Cover consists of anundirected graph G = (V; E) and a positive int... more The problem instance of Vertex Cover consists of anundirected graph G = (V; E) and a positive integer k,the question is whether there exists a subset C ` V ofvertices such that each edge in E has at least one ofits endpoints in C with jCj k. We improve two recentworst case upper bounds for Vertex Cover. First,Balasubramanian et al.
Lecture Notes in Computer Science, 2001
Closest String is one of the core problems in the field of consensus word analysis with particula... more Closest String is one of the core problems in the field of consensus word analysis with particular importance for computational biology. Given k strings of same length and a positive integer d, find a "closest string" s such that none of the given strings has Hamming distance greater than d from s. Closest String is NP-complete. We show how to
Lecture Notes in Computer Science, 1999
Given a boolean formula F in conjunctive normal form and an integer k, is there a truth assignmen... more Given a boolean formula F in conjunctive normal form and an integer k, is there a truth assignment satisfying at least k clauses? This is the decision version of the Maximum Satisfiability (MaxSax) problem we study in this paper. We improve upper bounds on the worst case running time for MAXSAT. First, Cai and Chen showed that MAXSAT can be
Lecture Notes in Computer Science, 1994
... on naa a D a D an a a D nnaa aa DD a D aaanaan aa DD ana aa D ao DD a D aoo aa a DD aa D o aa... more ... on naa a D a D an a a D nnaa aa DD a D aaanaan aa DD ana aa D ao DD a D aoo aa a DD aa D o aa oa aaa nn DO an D aan D a D a aa DO a D a ao DD aoa oa oa D aa n D DO a D a a ODD aa D DDD a DD a ana ODD ODD aap aaa aoa ana DOD DDD DDD DDD D DO nap ...
Lecture Notes in Computer Science, 2000
Lecture Notes in Computer Science, 2006
Lecture Notes in Computer Science, 2002
We present an improved dynamic programming strategy for dominating set and related problems on gr... more We present an improved dynamic programming strategy for dominating set and related problems on graphs that are given together with a tree decomposition of width k. We obtain an O(4k n) algorithm for dominating set, where n is the number of nodes of the tree decomposition. This result improves the previously best known algorithm of Telle and Proskurowski running in
National Conference on Artificial Intelligence, 2010
Lecture Notes in Computer Science, 2011
Lecture Notes in Computer Science, 1998
... However, only elementary combinatorial considerations have been used for this result and mayb... more ... However, only elementary combinatorial considerations have been used for this result and maybe with the help of machine support one could still ... to Jin Wiedermann for inviting me to a talk on the presented topic, which together with the lecture notes served ... The MIT Press, 1990 ...
Lecture Notes in Computer Science, 2010
Important variants of the Vertex Cover problem (among others, Connected Vertex Cover, Capacitated... more Important variants of the Vertex Cover problem (among others, Connected Vertex Cover, Capacitated Vertex Cover, and Maximum Partial Vertex Cover) have been intensively studied in terms of polynomial-time approximability. By way of contrast, their parameterized complexity,has so far been completely,open. We close this gap here by showing that, with the size of the desired vertex cover as parameter, Connected
Lecture Notes in Computer Science, 2009
Lecture Notes in Computer Science, 2010
Lecture Notes in Computer Science, 1999
The problem instance of Vertex Cover consists of anundirected graph G = (V; E) and a positive int... more The problem instance of Vertex Cover consists of anundirected graph G = (V; E) and a positive integer k,the question is whether there exists a subset C ` V ofvertices such that each edge in E has at least one ofits endpoints in C with jCj k. We improve two recentworst case upper bounds for Vertex Cover. First,Balasubramanian et al.
Lecture Notes in Computer Science, 2001
Closest String is one of the core problems in the field of consensus word analysis with particula... more Closest String is one of the core problems in the field of consensus word analysis with particular importance for computational biology. Given k strings of same length and a positive integer d, find a "closest string" s such that none of the given strings has Hamming distance greater than d from s. Closest String is NP-complete. We show how to
Lecture Notes in Computer Science, 1999
Given a boolean formula F in conjunctive normal form and an integer k, is there a truth assignmen... more Given a boolean formula F in conjunctive normal form and an integer k, is there a truth assignment satisfying at least k clauses? This is the decision version of the Maximum Satisfiability (MaxSax) problem we study in this paper. We improve upper bounds on the worst case running time for MAXSAT. First, Cai and Chen showed that MAXSAT can be
Lecture Notes in Computer Science, 1994
... on naa a D a D an a a D nnaa aa DD a D aaanaan aa DD ana aa D ao DD a D aoo aa a DD aa D o aa... more ... on naa a D a D an a a D nnaa aa DD a D aaanaan aa DD ana aa D ao DD a D aoo aa a DD aa D o aa oa aaa nn DO an D aan D a D a aa DO a D a ao DD aoa oa oa D aa n D DO a D a a ODD aa D DDD a DD a ana ODD ODD aap aaa aoa ana DOD DDD DDD DDD D DO nap ...
Lecture Notes in Computer Science, 2000
Lecture Notes in Computer Science, 2006
Lecture Notes in Computer Science, 2002
We present an improved dynamic programming strategy for dominating set and related problems on gr... more We present an improved dynamic programming strategy for dominating set and related problems on graphs that are given together with a tree decomposition of width k. We obtain an O(4k n) algorithm for dominating set, where n is the number of nodes of the tree decomposition. This result improves the previously best known algorithm of Telle and Proskurowski running in