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Lectures on Matrices and Graphs
(MG 2019)

June 19 - 21, 2019

Centre for Advanced Research in Applied Mathematics and Statistics, MAHE, Manipal, India

Title of the talk : Moore-Penrose inverse of some combinatorial matrices

Abstract :
In the first part we consider the incidence matrix of a distance regular graph. The class of distance regular graphs is an important class of regular graphs while studying several topics such as combinatorial designs, symmetric nets and Hadamard matrices. We first review the important properties of distance regular graphs. We then obtain a graph-theoretic description of the Moore–Penrose inverse of the incidence matrix of a distance regular graph. We illustrate our results using several classical examples of distance regular graphs. Families of distance transitive graphs, which are a subclass of distance regular graphs, are also considered. In the later part we consider the resistance matrix of a directed graph and prove analogs of several known results. The technique involves the description of the Moore-Penrose inverse of the Laplacian.

Lectures on Matrices and Graphs

June 19 - 21, 2019

Registration

There will be no registration fees.

Lectures on Matrices and Graphs

June 19 - 21, 2019

Speakers

Dr. R. B. Bapat
Professor
Indian Statistical Institute, Delhi Centre, India

Research Interests: Matrices and Graphs, Nonnegative Matrices, Matrix Inequalities and Generalized Inverses Read more
Achievements: He has published more than 140 research papers in these areas in reputed national and international journals and… Read more

Lectures on Matrices and Graphs

June 19 - 21, 2019

Participants

List of Participants

Lectures on Matrices and Graphs

June 19 - 21, 2019

Contact

Contact us at

carams.mahe@gmail.com

Dr. K. Manjunatha Prasad

Coordinator, CARAMS

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