Bapat, R. B.
(1999)
*Linear estimation in models based on a graph
*
Linear Algebra and its Applications, 302-303
.
pp. 223-230.
ISSN 0024-3795

Full text not available from this repository.

Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/S0024-3795(99)00093-2

## Abstract

Two natural linear models associated with a graph are considered. The Gauss-Markov theorem is used in one of the models to derive a combinatorial formula for the Moore-Penrose inverse of the incidence matrix of a tree. An inequality involving the Moore-Penrose inverse of the Laplacian matrix of a graph and its distance matrix is obtained. The case of equality is discussed. Again the main tool used in the proof is the theory of linear estimation.

Item Type: | Article |
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Source: | Copyright of this article belongs to Elsevier Science. |

Keywords: | Linear Model; Moore-penrose Inverse; Tree; Incidence Matrix; Laplacian Matrix; Distance |

ID Code: | 81583 |

Deposited On: | 07 Feb 2012 05:10 |

Last Modified: | 07 Feb 2012 05:10 |

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