DOIAbstract
Abstract: Let L be an n × n matrix with zero row and column sums, n ≥ 3. We obtain a formula for any minor of the (n−2)-th compound of L. An application to counting spanning trees extending a given forest is given
Abstract: Let L be an n × n matrix with zero row and column sums, n ≥ 3. We obtain a formula for any minor of the (n−2)-th compound of L. An application to counting spanning trees extending a given forest is given
ABSTRACT. The All Minors Matrix Tree Theorem states that the determinant of any sub-matrix of a matr...
Abstract. Let G be a connected simple graph. The relationship between the third smallest eigenvalue ...
AbstractWe show that every minor of an n×n Laplace matrix, i.e., a symmetric matrix whose row- and c...
It is shown that if L and D are the Laplacian and the distance matrix of a tree respectively, then a...
AbstractWe show that every minor of an n×n Laplace matrix, i.e., a symmetric matrix whose row- and c...
We provide a combinatorial description of all the minors of the edge version of the Laplacian matrix...
AbstractIt is shown that if L and D are the Laplacian and the distance matrix of a tree respectively...
Abstract. We prove a Matrix-Tree Theorem enumerating the spanning trees of a cell complex in terms o...
Using the composition of some existing smaller graphs to construct some large graphs, the number of ...
Abstract. If F,G are two n×m matrices, then det(1+xFTG) =∑ P x |P |det(FP)det(GP) where the sum is o...
Abstract. Let mT [0, 2) be the number of Laplacian eigenvalues of a tree T in [0, 2), multiplicities...
Abstract. Let mT [0, 2) be the number of Laplacian eigenvalues of a tree T in [0, 2), multiplicities...
Abstract. If F,G are two n×m matrices, then det(1+xFTG) =∑ P x |P |det(FP)det(GP) where the sum is o...
AbstractLet L(Bk) be the Laplacian matrix of an unweighted balanced binary tree Bk of k levels. We p...
International audienceThe ‘All Minors Matrix Tree Theorem’ (Chen, Applied Graph Theory, Graphs and E...
ABSTRACT. The All Minors Matrix Tree Theorem states that the determinant of any sub-matrix of a matr...
Abstract. Let G be a connected simple graph. The relationship between the third smallest eigenvalue ...
AbstractWe show that every minor of an n×n Laplace matrix, i.e., a symmetric matrix whose row- and c...
It is shown that if L and D are the Laplacian and the distance matrix of a tree respectively, then a...
AbstractWe show that every minor of an n×n Laplace matrix, i.e., a symmetric matrix whose row- and c...
We provide a combinatorial description of all the minors of the edge version of the Laplacian matrix...
AbstractIt is shown that if L and D are the Laplacian and the distance matrix of a tree respectively...
Abstract. We prove a Matrix-Tree Theorem enumerating the spanning trees of a cell complex in terms o...
Using the composition of some existing smaller graphs to construct some large graphs, the number of ...
Abstract. If F,G are two n×m matrices, then det(1+xFTG) =∑ P x |P |det(FP)det(GP) where the sum is o...
Abstract. Let mT [0, 2) be the number of Laplacian eigenvalues of a tree T in [0, 2), multiplicities...
Abstract. Let mT [0, 2) be the number of Laplacian eigenvalues of a tree T in [0, 2), multiplicities...
Abstract. If F,G are two n×m matrices, then det(1+xFTG) =∑ P x |P |det(FP)det(GP) where the sum is o...
AbstractLet L(Bk) be the Laplacian matrix of an unweighted balanced binary tree Bk of k levels. We p...
International audienceThe ‘All Minors Matrix Tree Theorem’ (Chen, Applied Graph Theory, Graphs and E...
ABSTRACT. The All Minors Matrix Tree Theorem states that the determinant of any sub-matrix of a matr...
Abstract. Let G be a connected simple graph. The relationship between the third smallest eigenvalue ...
AbstractWe show that every minor of an n×n Laplace matrix, i.e., a symmetric matrix whose row- and c...