An incremental linear-time algorithm for recognizing interval graphs
SIAM Journal on Computing
Regular Article: On the Complexity of DNA Physical Mapping
Advances in Applied Mathematics
Pathwidth, Bandwidth, and Completion Problems to Proper Interval Graphs with Small Cliques
SIAM Journal on Computing
On intervalizing k-colored graphs for DNA physical mapping
Discrete Applied Mathematics - Special volume on computational molecular biology
Journal of the ACM (JACM)
A polynomial approximation algorithm for the minimum fill-in problem
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Substitution Decomposition on Chordal Graphs and Applications
ISA '91 Proceedings of the 2nd International Symposium on Algorithms
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An interval graph is the intersection graph of a collection of intervals. One important application of interval graph is physical mapping in genome research, that is, to reassemble the clones to determine the relative position of fragments of DNAalon g the genome. The linear time algorithm by Booth and Lueker (1976) for this problem has a serious drawback: the data must be error-free. However, laboratory work is never flawless. We devised a new iterative clustering algorithm for this problem, which can accommodate noisy data and produce a likely interval model realizing the original graph.