Graphs and Matrices

Graphs and Matrices

Graphs and Matrices provides a welcome addition to the rapidly expanding selection of literature in this field. As the title suggests, the book’s primary focus is graph theory, with an emphasis on topics relating to linear algebra and matrix theory. Information is presented at a relatively elementary level with the view of leading the student into further research. In the first part of the book matrix preliminaries are discussed and the basic properties of graph-associated matrices highlighted. Further topics include those of graph theory such as regular graphs and algebraic connectivity, Laplacian eigenvalues of threshold graphs, positive definite completion problem and graph-based matrix games. Whilst this book will be invaluable to researchers in graph theory, it may also be of benefit to a wider, cross-disciplinary readership.


Author
Publisher Springer
Release Date
ISBN 9781848829800
Pages 171 pages
Graphs and Matrices
Language: en
Pages: 171
Authors: Ravindra B. Bapat
Categories: Mathematics
Type: BOOK - Published: 2010-12-30 - Publisher: Springer

Graphs and Matrices provides a welcome addition to the rapidly expanding selection of literature in this field. As the title suggests, the book’s primary focu
Graphs and Matrices
Language: en
Pages: 193
Authors: Ravindra B. Bapat
Categories: Mathematics
Type: BOOK - Published: 2014-09-19 - Publisher: Springer

This new edition illustrates the power of linear algebra in the study of graphs. The emphasis on matrix techniques is greater than in other texts on algebraic g
The Mutually Beneficial Relationship of Graphs and Matrices
Language: en
Pages: 96
Authors: Richard A. Brualdi
Categories: Mathematics
Type: BOOK - Published: 2011-07-06 - Publisher: American Mathematical Soc.

Graphs and matrices enjoy a fascinating and mutually beneficial relationship. This interplay has benefited both graph theory and linear algebra. In one directio
Matrices And Graphs: Theory And Applications To Economics - Proceedings Of The Conferences
Language: en
Pages: 256
Authors: Camiz Sergio
Categories:
Type: BOOK - Published: 1996-11-30 - Publisher: World Scientific

This volume discusses applications on graphs to the analysis of both causal structure of econometric models and input/output matrices; the relationships between
Graphs, Matrices, and Designs
Language: en
Pages: 344
Authors: Rees
Categories: Mathematics
Type: BOOK - Published: 2017-07-12 - Publisher: Routledge

Examines partitions and covers of graphs and digraphs, latin squares, pairwise balanced designs with prescribed block sizes, ranks and permanents, extremal grap
Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs
Language: en
Pages: 425
Authors: Jason J. Molitierno
Categories: Computers
Type: BOOK - Published: 2016-04-19 - Publisher: CRC Press

On the surface, matrix theory and graph theory seem like very different branches of mathematics. However, adjacency, Laplacian, and incidence matrices are commo
Graphs, Matrices, and Designs
Language: en
Pages: 344
Authors: Rees
Categories: Mathematics
Type: BOOK - Published: 1992-09-25 - Publisher: CRC Press

Examines partitions and covers of graphs and digraphs, latin squares, pairwise balanced designs with prescribed block sizes, ranks and permanents, extremal grap
Graph Theory and Sparse Matrix Computation
Language: en
Pages: 245
Authors: Alan George
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

When reality is modeled by computation, matrices are often the connection between the continuous physical world and the finite algorithmic one. Usually, the mor
Graph-Theoretical Matrices in Chemistry
Language: en
Pages: 160
Authors: Dusanka Janezic
Categories: Mathematics
Type: BOOK - Published: 2015-04-22 - Publisher: CRC Press

Graph-Theoretical Matrices in Chemistry presents a systematic survey of graph-theoretical matrices and highlights their potential uses. This comprehensive volum
Matrices and Graphs in Geometry
Language: en
Pages: 197
Authors: Miroslav Fiedler
Categories: Mathematics
Type: BOOK - Published: 2011-02-03 - Publisher: Cambridge University Press

This series is devoted to significant topics or themes that have wide application in mathematics or mathematical science and for which a detailed development of