@techreport{TR-IC-08-06, number = {IC-08-06}, author = {Igor Carboni Oliveira and Orlando Lee}, title = {An Algebraic Approach to the Graph Reconstruction Conjecture}, month = {April}, year = {2008}, institution = {Institute of Computing, University of Campinas}, note = {In English, 9 pages. \par\selectlanguage{english}\textbf{Abstract} In this paper we present a new approach to solve the Graph Reconstruction Conjecture. We reduce the problem of reconstructing connected graphs to the problem of finding a special system of linear equations with a unique solution. We also show how this method can be applied to some simple cases and propose some extensions that possibly could be used for a proof of the conjecture. } }