%0 Journal Article %T A UNIFIED THEORY OF AUGMENTED GRAPH
拓展图的一般理论 %A Hu Zongxuan %A
胡宗煊 %J 电子与信息学报 %D 1987 %I %X This paper presents a unified theory of augmented graph. Two basic theorems for a matrix are proved. By making use of graph augmentation, evaluation of the determinant and cofactors associated with a matrix is carried out in one single analysis which is referred to the J-operation, so that is of a set of linear algebraic equations. The augmented Coates graph and Mason graph are topologically simplified. Since the need for the formulas called D-operation is eliminated, the augmented graph serves as a theoretic basis, on which the existing network topology could be reduced greatly. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=1319827C0C74AAE8D654BEA21B7F54D3&jid=EFC0377B03BD8D0EF4BBB548AC5F739A&aid=9DAA4977B0F572BD&yid=9C2DB0A0D5ABE6F8&vid=9CF7A0430CBB2DFD&iid=38B194292C032A66&sid=6CCE24D86D03D083&eid=B78CD622C1934236&journal_id=1009-5896&journal_name=电子与信息学报&referenced_num=0&reference_num=7