Regular Article: On the Complexity of DNA Physical Mapping
Advances in Applied Mathematics
Discrete Applied Mathematics - Special volume on computational molecular biology DAM-CMB series volume 2
A polynomial time recognition algorithm for probe interval graphs
SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
Construction of probe interval models
SODA '02 Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms
Linear-Time Representation Algorithms for Proper Circular-Arc Graphs and Proper Interval Graphs
SIAM Journal on Computing
A Fully Dynamic Algorithm for Recognizing and Representing Proper Interval Graphs
SIAM Journal on Computing
Recognizing Chordal Probe Graphs and Cycle-Bicolorable Graphs
SIAM Journal on Discrete Mathematics
Partitioned probe comparability graphs
Theoretical Computer Science
A characterization of cycle-free unit probe interval graphs
Discrete Applied Mathematics
2-Tree probe interval graphs have a large obstruction set
Discrete Applied Mathematics
Journal of Computer and System Sciences
Characterisations and linear-time recognition of probe cographs
WG'07 Proceedings of the 33rd international conference on Graph-theoretic concepts in computer science
The PIGs full monty – a floor show of minimal separators
STACS'05 Proceedings of the 22nd annual conference on Theoretical Aspects of Computer Science
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In a partitioned probe graph the vertex set is partitioned into probes and non-probes, such that the set of non-probes is an independent set. A probe proper interval graph is the intersection graph of a set of intervals on the line such that every vertex is mapped to an interval, no interval contains another, and two vertices are adjacent if and only if the corresponding intervals intersect and at least one of them is a probe. We present the first linear-time algorithm that determines whether an input partitioned probe graph is a probe proper interval graph, and if the answer is positive then the algorithm constructs a corresponding set of intervals.