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Laplacian of graphs and algebraic connectivity

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A new characterization of generalized complementary basic matrices

84%
EN
In this paper, a new characterization of previously studied generalized complementary basic matrices is obtained. It is in terms of ranks and structure ranks of submatrices defined by certain diagonal positions. The results concern both the irreducible and general cases.
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A New Characterization of Generalized Complementary Basic Matrices

84%
EN
In this paper, a new characterization of previously studied generalized complementary basic matrices is obtained. It is in terms of ranks and structure ranks of submatrices defined by certain diagonal positions. The results concern both the irreducible and general cases
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Combinatorial aspects of generalized complementary basic matrices

84%
Open Mathematics
|
2013
|
tom 11
|
nr 12
2186-2196
EN
This paper extends some properties of the generalized complementary basic matrices, in particular, in a combinatorial direction. These include inheritance (such as for Alternating Sign Matrices), spectral, and sign pattern matrix (including sign nonsingularity) properties.
5
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Factorizable matrices

84%
EN
We study square matrices which are products of simpler factors with the property that any ordering of the factors yields a matrix cospectral with the given matrix. The results generalize those obtained previously by the authors.
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