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Colloquium - McConnell

ECCR 265

Recognition of Circular-Arc Graphs
Department of Computer Science and Engineering, University of Colorado at Denver
Ross McConnell photo

Given a set of intervals on a line, an interval graph is derived by creating a vertex for each interval and installing an edge for each intersecting pair of intervals. Interval-graph recognition is the inverse of this operation, namely, deriving a corresponding set of intervals given only the interval graph. Circular-arc graph and circular-arc graph recognition are defined similarly, except that they deal with intersections of arcs on a circle. Both problems arise in scheduling theory and in molecular biology.

A linear-time algorithm for interval-graph recognition was given in 1976 by Booth and Lueker. At the time, Booth conjectured that circular-arc graph recognition was NP-complete, but this has since been disproved by a series of increasingly efficient polynomial-time algorithms. We give the first linear-time algorithm for the problem.

Hosted by Harold (Hal) Gabow.
Refreshments will be served immediately following the talk in ECOT 831.

The Department holds colloquia throughout the Fall and Spring semesters. These colloquia, open to the public, are typically held on Thursday afternoons, but sometimes occur at other times as well. If you would like to receive email notification of upcoming colloquia, subscribe to our Colloquia Mailing List. If you would like to schedule a colloquium, see Colloquium Scheduling.

Sign language interpreters are available upon request. Please contact Stephanie Morris at least five days prior to the colloquium.

See also:
Department of Computer Science
College of Engineering and Applied Science
University of Colorado Boulder
Boulder, CO 80309-0430 USA
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