Complexity of finding embeddings in a k-tree
SIAM Journal on Algebraic and Discrete Methods
An incremental linear-time algorithm for recognizing interval graphs
SIAM Journal on Computing
Mapping the genome: some combinatorial problems arising in molecular biology
STOC '93 Proceedings of the twenty-fifth annual ACM symposium on Theory of computing
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computing Minimal Triangulations in Time O(n\alpha \log n) = o(n2.376)
SIAM Journal on Discrete Mathematics
Minimal comparability completions of arbitrary graphs
Discrete Applied Mathematics
Minimal proper interval completions
Information Processing Letters
Minimal interval completion through graph exploration
Theoretical Computer Science
Discrete Applied Mathematics
Fully Dynamic Representations of Interval Graphs
Graph-Theoretic Concepts in Computer Science
Journal of Computer and System Sciences
ESA'05 Proceedings of the 13th annual European conference on Algorithms
An O(n2)-time algorithm for the minimal interval completion problem
TAMC'10 Proceedings of the 7th annual conference on Theory and Applications of Models of Computation
Hi-index | 5.23 |
An interval completion of an arbitrary graph G is an interval graph H, on the same vertex set, obtained from G by adding new edges. If the set of newly added edges is inclusion-minimal among all possibilities, we say that H is a minimal interval completion of G. We give an O(n^2)-time algorithm to obtain a minimal interval completion of an arbitrary graph. This improves the previous O(nm) time bound for the problem and lowers this bound for the first time below the best known bound for minimal chordal completion.