@techreport{TR-DCC-95-09, number = {DCC-95-09}, author = {Lucchesi, Cláudio L. and Carvalho, Marcelo H.}, title = {Bases for the Matching Lattice of Matching Covered Graphs}, month = {July}, year = {1995}, institution = {Department of Computer Science, University of Campinas}, note = {In English, 7 pages. \par\selectlanguage{english}\textbf{Abstract} This article contains a brief introduction to the theory of matching covered graphs: ear-decompositions, the matching lattice and the most important results of the theory. Its last section contains rather recent results and a conjecture relating the minimum number of double ears of any ear-decomposition of a matching covered graph and the number of bricks and bricks isomorphic to the Petersen graph in any brick decomposition of the same graph. } }