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† Department of Mathematics, Soochow University, Taipei, 11102, Taiwan ([email protected]). Supported in part by Taiwan National
Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume
Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume
In this paper, some necessary and sufficient con- ditions for the existence of the group inverse for square matrix over R are given, the conditions for the existence of the
The first kind is the minimal and maximal eigenvalues of all leading principal submatrices of A , and the second kind is one eigenvalue of each leading principal submatrix of A
Moreover, the minimum (resp. maximum) number of edges for all (connected) graphs with pendent vertices and nullity η are determined, and the extremal graphs are characterized..
Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume
It is shown in this paper that if one only considers the family of graphs without isolated vertex, then a disjoint union of complete graphs is determined by its Laplacian
