The Complexity of Near-Optimal Graph Coloring
Journal of the ACM (JACM)
The Design and Analysis of Computer Algorithms
The Design and Analysis of Computer Algorithms
Edge concentration: a method for clustering directed graphs
SCM '89 Proceedings of the 2nd International Workshop on Software configuration management
On the hardness of approximating minimization problems
STOC '93 Proceedings of the twenty-fifth annual ACM symposium on Theory of computing
On the hardness of approximating minimization problems
Journal of the ACM (JACM)
WG '01 Proceedings of the 27th International Workshop on Graph-Theoretic Concepts in Computer Science
SC '05 Proceedings of the 2005 ACM/IEEE conference on Supercomputing
Algorithms for compact letter displays: Comparison and evaluation
Computational Statistics & Data Analysis
Covering Arrays Avoiding Forbidden Edges
COCOA 2008 Proceedings of the 2nd international conference on Combinatorial Optimization and Applications
Covering arrays avoiding forbidden edges
Theoretical Computer Science
Three-quarter approximation for the number of unused colors in graph coloring
Information Sciences: an International Journal
IPDPS'06 Proceedings of the 20th international conference on Parallel and distributed processing
Unique intersectability of diamond-free graphs
Discrete Applied Mathematics
Hardness results for covering arrays avoiding forbidden edges and error-locating arrays
Theoretical Computer Science
Hypergraph Partitioning-Based Fill-Reducing Ordering for Symmetric Matrices
SIAM Journal on Scientific Computing
Controlling size when aligning multiple genomic sequences with duplications
WABI'06 Proceedings of the 6th international conference on Algorithms in Bioinformatics
Finding the best CAFE is NP-hard
LATIN'10 Proceedings of the 9th Latin American conference on Theoretical Informatics
Modeling affiliations in networks
Proceedings of the Winter Simulation Conference
Hi-index | 48.22 |
Kellerman has presented a method for determining keyword conflicts and described a heuristic algorithm which solves a certain combinatorial optimization problem in connection with this method. This optimization problem is here shown to be equivalent to the problem of covering the edges of a graph by complete subgraphs with the objective of minimizing the number of complete subgraphs. A relationship between this edge-clique-cover problem and the graph coloring problem is established which allows algorithms for either one of these problems to be constructed from algorithms for the other. As consequences of this relationship, the keyword conflict problem and the edge-clique-cover problem are shown to be NP-complete, and if P ≠ NP then they do not admit polynomial-time approximation algorithms which always produce solutions within a factor less than 2 from the optimum.