Richard A. Brualdi, Ángeles Carmona, P. Van Den Driessche, Stephen Kirkland, Dragan Stevanovic

Combinatorial Matrix Theory (eBook, PDF)

Redaktion: Encinas, Andrés M.; Mitjana, Margarida

• Format: PDF

Produktbeschreibung

Focuses on permutation, alternating sign and tournament matrices

Includes an introduction to boundary value problems and related techniques on finite networks

Discusses applications of the group inverse of the Laplacian matrix

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 219
• Erscheinungstermin: 31. März 2018
• Englisch
• ISBN-13: 9783319709536
• Artikelnr.: 52940728

Autorenporträt

Richard A. Brualdi is an Emeritus Professor at the University of Wisconsin in Madison, WI, USA.

Pauline van den Driessche is an Emeritus Professor at the University of Victoria, Canada.

Dragan Stevanovic is a Full Research Professor at the Serbian Academy of Sciences and Arts in Belgrade, Serbia.

Stephen Kirkland is a Professor at the University of Manitoba in Winnipeg, Canada.

Ángeles Carmona is an Associate Professor at the Universitat Politècnica de Catalunya in Barcelona, Spain.

Inhaltsangabe

1. Incidence matrices
2. Matrices and graphs
3. Matrices and digraphs
4. Matrices and bigraphs
5. Combinatorial matrix algebra
6. Existence theorems for combinatorially constrained matrices
7. Some special graphs
8. The permanent
9. Latin squares.

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Some combinatorially defined matrix class.- Sign pattern matrices.- The spectral radius of a graph.- The group inverse of the Laplacian matrix of a graph.- Boundary value problems on finite networks.

Rezensionen

"A very excellent treatment of the subject for mathematicians interested in the intersection between matrix theory and combinatorics. ... it is appropriate for graduate students and others interested in the latest developments in this rich and diverse field." (MAA Reviews, March 1, 2020)