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Author: Courtney Brown Publisher: SAGE ISBN: 1412941091 Category : Mathematics Languages : en Pages : 105
Book Description
This book describes an easily applied language of mathematical modeling that uses boxes and arrows to develop very sophisticated, algebraic statements of social and political phenomena.
Author: Courtney Brown Publisher: SAGE ISBN: 1412941091 Category : Mathematics Languages : en Pages : 105
Book Description
This book describes an easily applied language of mathematical modeling that uses boxes and arrows to develop very sophisticated, algebraic statements of social and political phenomena.
Author: Gary Asp Publisher: ISBN: 9781559532792 Category : Algebra Languages : en Pages : 0
Book Description
With engaging activities that students complete with graphing calculators or software, "Graphic Algebra" helps students develop new insights into algebra by providing easy-to-use lessons. (Education/Teaching)
Author: Ravindra B. Bapat Publisher: Springer ISBN: 1447165691 Category : Mathematics Languages : en Pages : 197
Book Description
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 on a graph. Such an extensive coverage of the subject area provides a welcome prompt for further exploration. The inclusion of exercises enables practical learning throughout the book. In the new edition, a new chapter is added on the line graph of a tree, while some results in Chapter 6 on Perron-Frobenius theory are reorganized. Whilst this book will be invaluable to students and researchers in graph theory and combinatorial matrix theory, it will also benefit readers in the sciences and engineering.
Author: Chris Godsil Publisher: Springer Science & Business Media ISBN: 9780387952208 Category : Mathematics Languages : en Pages : 468
Book Description
This book is primarily aimed at graduate students and researchers in graph theory, combinatorics, or discrete mathematics in general. However, all the necessary graph theory is developed from scratch, so the only pre-requisite for reading it is a first course in linear algebra and a small amount of elementary group theory. It should be accessible to motivated upper-level undergraduates.
Author: Iain Raeburn Publisher: American Mathematical Soc. ISBN: 0821836609 Category : Mathematics Languages : en Pages : 130
Book Description
Graph algebras are a family of operator algebras which are associated to directed graphs. These algebras have an attractive structure theory in which algebraic properties of the algebra are related to the behavior of paths in the underlying graph. In the past few years there has been a great deal of activity in this area, and graph algebras have cropped up in a surprising variety of situations, including non-abelian duality, non-commutative geometry, and the classification of simple $C*$-algebras. The first part of the book provides an introduction to the subject suitable for students who have seen a first course on the basics of $C*$-algebras. In the second part, the author surveys the literature on the structure theory of graph algebras, highlights some applications of this theory, and discusses several recent generalizations which seem particularly promising. The volume is suitable for graduate students and research mathematicians interested in graph theory and operator algebras.
Author: Courtney Brown
Author: Courtney Brown
Author: Andrew Wheeler Phillips
Author: Arthur Schultze
Author: Gary Asp
Author: Ravindra B. Bapat
Author: Andrew Wheeler Phillips
Author: Chris Godsil
Author: Andrew Wheeler Phillips
Author: Arthur Latham Baker
Author: Iain Raeburn