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The Resource Applications of combinatorial matrix theory to Laplacian matrices of graphs, Jason J. Molitierno
Applications of combinatorial matrix theory to Laplacian matrices of graphs, Jason J. Molitierno
Resource Information
The item Applications of combinatorial matrix theory to Laplacian matrices of graphs, Jason J. Molitierno represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Applications of combinatorial matrix theory to Laplacian matrices of graphs, Jason J. Molitierno represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 "Preface On the surface, matrix theory and graph theory are seemingly very different branches of mathematics. However, these two branches of mathematics interact since it is often convenient to represent a graph as a matrix. Adjacency, Laplacian, and incidence matrices are commonly used to represent graphs. In 1973, Fiedler published his first paper on Laplacian matrices of graphs and showed how many properties of the Laplacian matrix, especially the eigenvalues, can give us useful information about the structure of the graph. Since then, many papers have been published on Laplacian matrices. This book is a compilation of many of the exciting results concerning Laplacian matrices that have been developed since the mid 1970's. Papers written by wellknown mathematicians such as (alphabetically) Fallat, Fiedler, Grone, Kirkland, Merris, Mohar, Neumann, Shader, Sunder, and several others are consolidated here. Each theorem is referenced to its appropriate paper so that the reader can easily do more indepth research on any topic of interest. However, the style of presentation in this book is not meant to be that of a journal but rather a reference textbook. Therefore, more examples and more detailed calculations are presented in this book than would be in a journal article. Additionally, most sections are followed by exercises to aid the reader in gaining a deeper understanding of the material. Some exercises are routine calculations that involve applying the theorems presented in the section. Other exercises require a more indepth analysis of the theorems and require the reader to prove theorems that go beyond what was presented in the section. Many of these exercises are taken from relevant papers and they are referenced accordingly"Provided by publisher
 Language
 eng
 Label
 Applications of combinatorial matrix theory to Laplacian matrices of graphs
 Title
 Applications of combinatorial matrix theory to Laplacian matrices of graphs
 Statement of responsibility
 Jason J. Molitierno
 Language
 eng
 Summary
 "Preface On the surface, matrix theory and graph theory are seemingly very different branches of mathematics. However, these two branches of mathematics interact since it is often convenient to represent a graph as a matrix. Adjacency, Laplacian, and incidence matrices are commonly used to represent graphs. In 1973, Fiedler published his first paper on Laplacian matrices of graphs and showed how many properties of the Laplacian matrix, especially the eigenvalues, can give us useful information about the structure of the graph. Since then, many papers have been published on Laplacian matrices. This book is a compilation of many of the exciting results concerning Laplacian matrices that have been developed since the mid 1970's. Papers written by wellknown mathematicians such as (alphabetically) Fallat, Fiedler, Grone, Kirkland, Merris, Mohar, Neumann, Shader, Sunder, and several others are consolidated here. Each theorem is referenced to its appropriate paper so that the reader can easily do more indepth research on any topic of interest. However, the style of presentation in this book is not meant to be that of a journal but rather a reference textbook. Therefore, more examples and more detailed calculations are presented in this book than would be in a journal article. Additionally, most sections are followed by exercises to aid the reader in gaining a deeper understanding of the material. Some exercises are routine calculations that involve applying the theorems presented in the section. Other exercises require a more indepth analysis of the theorems and require the reader to prove theorems that go beyond what was presented in the section. Many of these exercises are taken from relevant papers and they are referenced accordingly"Provided by publisher
 Cataloging source
 DLC
 http://library.link/vocab/creatorName
 Molitierno, Jason J
 Dewey number
 512.9/434
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA166.243
 LC item number
 .M65 2012
 Literary form
 non fiction
 Nature of contents
 bibliography
 Series statement
 Discrete mathematics and its applications
 http://library.link/vocab/subjectName

 Graph connectivity
 Laplacian matrices
 COMPUTERS / Operating Systems / General
 COMPUTERS / Programming / Algorithms
 MATHEMATICS / Combinatorics
 Label
 Applications of combinatorial matrix theory to Laplacian matrices of graphs, Jason J. Molitierno
 Bibliography note
 Includes bibliographical references and index
 Dimensions
 27 cm.
 Extent
 405 p.
 Isbn
 9781439863374
 Lccn
 2011046277
 Other physical details
 ill.
 System control number

 396952801okla_normanlaw
 (SIRSI)3969528
 (Sirsi) i9781439863374
 Label
 Applications of combinatorial matrix theory to Laplacian matrices of graphs, Jason J. Molitierno
 Bibliography note
 Includes bibliographical references and index
 Dimensions
 27 cm.
 Extent
 405 p.
 Isbn
 9781439863374
 Lccn
 2011046277
 Other physical details
 ill.
 System control number

 396952801okla_normanlaw
 (SIRSI)3969528
 (Sirsi) i9781439863374
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History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

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