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Graphs and Matrices
  • Language: en
  • Pages: 193

Graphs and Matrices

  • Type: Book
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  • Published: 2014-09-19
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  • 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 graph theory. Important matrices associated with graphs (for example, incidence, adjacency and Laplacian matrices) are treated in detail. Presenting a useful overview of selected topics in algebraic graph theory, early chapters of the text focus on regular graphs, algebraic connectivity, the distance matrix of a tree, and its generalized version for arbitrary graphs, known as the resistance matrix. Coverage of later topics include Laplacian eigenvalues of threshold graphs, the positive definite completion problem and matrix games based...

Linear Algebra and Linear Models
  • Language: en
  • Pages: 167

Linear Algebra and Linear Models

Linear Algebra and Linear Models comprises a concise and rigorous introduction to linear algebra required for statistics followed by the basic aspects of the theory of linear estimation and hypothesis testing. The emphasis is on the approach using generalized inverses. Topics such as the multivariate normal distribution and distribution of quadratic forms are included. For this third edition, the material has been reorganised to develop the linear algebra in the first six chapters, to serve as a first course on linear algebra that is especially suitable for students of statistics or for those looking for a matrix theoretic approach to the subject. Other key features include: coverage of topi...

Nonnegative Matrices and Applications
  • Language: en
  • Pages: 336

Nonnegative Matrices and Applications

This book provides an integrated treatment of the theory of nonnegative matrices (matrices with only positive numbers or zero as entries) and some related classes of positive matrices, concentrating on connections with game theory, combinatorics, inequalities, optimisation and mathematical economics. The wide variety of applications, which include price fixing, scheduling and the fair division problem, have been carefully chosen both for their elegant mathematical content and for their accessibility to students with minimal preparation. Many results in matrix theory are also presented. The treatment is rigorous and almost all results are proved completely. These results and applications will be of great interest to researchers in linear programming, statistics and operations research. The minimal prerequisites also make the book accessible to first-year graduate students.

Lectures on Matrix and Graph Methods
  • Language: en
  • Pages: 246

Lectures on Matrix and Graph Methods

  • Type: Book
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  • Published: 2012
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  • Publisher: Unknown

Papers presented at the International Workshop and Conference on Combinatorial Matrix Theory & Generalized Inverses of Matrices, organized by Department of Statistics, Manipal University during 2-7 January 2012.

Combinatorial Matrix Theory and Generalized Inverses of Matrices
  • Language: en
  • Pages: 277

Combinatorial Matrix Theory and Generalized Inverses of Matrices

This book consists of eighteen articles in the area of `Combinatorial Matrix Theory' and `Generalized Inverses of Matrices'. Original research and expository articles presented in this publication are written by leading Mathematicians and Statisticians working in these areas. The articles contained herein are on the following general topics: `matrices in graph theory', `generalized inverses of matrices', `matrix methods in statistics' and `magic squares'. In the area of matrices and graphs, speci_c topics addressed in this volume include energy of graphs, q-analog, immanants of matrices and graph realization of product of adjacency matrices. Topics in the book from `Matrix Methods in Statist...

Mathematical Programming and Game Theory for Decision Making
  • Language: en

Mathematical Programming and Game Theory for Decision Making

  • Type: Book
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  • Published: Unknown
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  • Publisher: Unknown

None

Mathematical Reviews
  • Language: en

Mathematical Reviews

  • Type: Book
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  • Published: 2008
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  • Publisher: Unknown

None

Zeitschrift Für Naturforschung
  • Language: en

Zeitschrift Für Naturforschung

  • Type: Book
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  • Published: 2003
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  • Publisher: Unknown

None

The Mathematics student
  • Language: en

The Mathematics student

  • Type: Book
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  • Published: 1987
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  • Publisher: Unknown

None

The Maharashtra Medical Register
  • Language: en

The Maharashtra Medical Register

  • Type: Book
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  • Published: 1968
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  • Publisher: Unknown

None