@techreport{TR-IC-04-13, number = {IC-04-13}, author = {Caterina De Simone and CĂ©lia Picinin de Mello}, title = {Edge-Colouring of Join Graphs}, month = {December}, year = {2004}, institution = {Institute of Computing, University of Campinas}, note = {In English, 10 pages. \par\selectlanguage{english}\textbf{Abstract} We discuss the following conjecture: \par If $G$ is a graph with $n$ vertices and maximum degree $\Delta > n/3$, then $G$ is 1-factorizable. } }