Polynomial time algorithms for the min cut problem on degree restricted trees
SIAM Journal on Computing
A polynomial algorithm for the min-cut linear arrangement of trees
Journal of the ACM (JACM)
Theoretical Computer Science
The complexity of searching a graph
Journal of the ACM (JACM)
Min cut is NP-complete for edge weighted trees
Theoretical Computer Science - Thirteenth International Colloquim on Automata, Languages and Programming, Renne
On minimizing width in linear layouts
Discrete Applied Mathematics
The vertex separation number of a graph equals its path-width
Information Processing Letters
Recontamination does not help to search a graph
Journal of the ACM (JACM)
The pathwidth and treewidth of cographs
SIAM Journal on Discrete Mathematics
On the pathwidth of chordal graphs
Discrete Applied Mathematics - ARIDAM IV and V
The vertex separation and search number of a graph
Information and Computation
Treewidth and Pathwidth of Permutation Graphs
SIAM Journal on Discrete Mathematics
Efficient and constructive algorithms for the pathwidth and treewidth of graphs
Journal of Algorithms
A Linear-Time Algorithm for Finding Tree-Decompositions of Small Treewidth
SIAM Journal on Computing
Storage requirements for deterministic polynomialtime recognizable languages
Journal of Computer and System Sciences
Approximation of Pathwidth of Outerplanar Graphs
WG '01 Proceedings of the 27th International Workshop on Graph-Theoretic Concepts in Computer Science
Algorithms and complexity results for graph-based pursuit evasion
Autonomous Robots
Distributed chasing of network intruders
SIROCCO'06 Proceedings of the 13th international conference on Structural Information and Communication Complexity
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We present a linear time algorithm which, given a tree, computes a linear layout optimal with respect to vertex separation. As a consequence optimal edge search strategies, optimal node search strategies, and optimal interval augmentations can be computed also in O(n) for trees. This improves the running time of former algorithms from O(n log n) to O(n) and answers two related open questions raised in [7] and [15].