@techreport{TR-IC-09-01, number = {IC-09-01}, author = {Sheila Morais de {Almeida} and Célia Picinin {de Mello} and Aurora {Morgana}}, title = {Using Latin Squares to Color Split Graphs}, month = {January}, year = {2009}, institution = {Institute of Computing, University of Campinas}, note = {In English, 9 pages. \par\selectlanguage{english}\textbf{Abstract} An \emph{edge-coloring} of a graph is an assignment of colors to its edges such that no adjacent edges have the same color. A \emph{split graph} is a graph whose vertex set admits a partition into a stable set and a clique. Split graphs have been introduced by Földes and Hammer and it is a well-studied class of graphs. However, the problem of deciding the chromatic index of any split graph remains unsolved. Chen, Fu, and Ko use a latin square to color any split graph with odd maximum degree. In this work, we also use a latin square to color some split graphs with even maximum degree and we show that these graphs are Class 1. } }