@techreport{TR-DCC-93-04, number = {DCC-93-04}, author = {de Figueiredo, Celina M. H. and Meidanis, João and de Mello, Célia P.}, title = {A {lexBFS} Algorithm for Proper Interval Graph Recognition}, month = {March}, year = {1993}, institution = {Department of Computer Science, University of Campinas}, note = {In English, 16 pages. \par\selectlanguage{english}\textbf{Abstract} Interval graphs are the intersection graphs of families of intervals in the real line. If the intervals can be chosen so that no interval contains another, we obtain the subclass of proper interval graphs. In this paper, we show how to recognize proper interval graphs with one lexBFS. This algorithm runs in linear time, and produces as a by-product the clique partition of the input graph. } }