Moore-penrose inverse of the incidence matrix of a tree
From MaRDI portal
Publication:4342151
DOI10.1080/03081089708818496zbMath0881.15005OpenAlexW2018573265MaRDI QIDQ4342151
Publication date: 25 February 1998
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081089708818496
Trees (05C05) Theory of matrix inversion and generalized inverses (15A09) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Matrices of integers (15B36)
Related Items
Moore-Penrose inverse of incidence matrix of graphs with complete and cyclic blocks ⋮ Moore-Penrose inverse of the signless Laplacians of bipartite graphs ⋮ Graph-based estimators for paired comparison data ⋮ Generalized inverses in graph theory ⋮ The inverse of the incidence matrix of a unicyclic graph ⋮ Linear estimation in models based on a graph ⋮ Moore-Penrose inverse of the incidence matrix of a distance regular graph ⋮ Group inverse and group involutory Matrices∗ ⋮ Algebraic connectivity and the characteristic set of a graph ⋮ Moore-Penrose inverses of the signless Laplacian and edge-Laplacian of graphs ⋮ The Moore-Penrose inverse of the incidence matrix of complete multipartite and bi-block graphs ⋮ Minimal ∞-norm of generalized inverses of the incidence matrix of a tree ⋮ Edge version of the matrix tree theorem for trees ⋮ Forest matrices around the Laplacian matrix
Cites Work
- Unnamed Item
- Generalized inverses over integral domains
- A volume associated with \(m{\times}n\) matrices
- A method in graph theory
- Minors of the Moore-Penrose inverse
- Laplacian matrices of graphs: A survey
- Three results in connection with inverse matrices
- An edge version of the matrix-tree theorem and the wiener index
- On the adjoint of a matrix associated with trees
- Linear Statistical Inference and its Applications