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
Algorithmic Graph Theory and Perfect Graphs (Annals of Discrete Mathematics, Vol 57)
Algorithmic Graph Theory and Perfect Graphs (Annals of Discrete Mathematics, Vol 57)
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
Theoretical Computer Science
Approximating the path-distance-width for AT-free graphs and graphs in related classes
Discrete Applied Mathematics
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The minimal interval completion problem consists in adding edges to an arbitrary graph so that the resulting graph is an interval graph; the objective is to add an inclusion minimal set of edges, which means that no proper subset of the added edges can result in an interval graph when added to the original graph We give an ${\mathcal{O}}(n^2)$-time algorithm to obtain a minimal interval completion of an arbitrary graph This improves the previous O(nm) time bound for the problem and lower this bound for the first time below the best known bound for minimal chordal completion.