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

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
Creator
Subject
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 well-known 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 in-depth 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 in-depth 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
Member of
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
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Dimensions
27 cm.
Extent
405 p.
Isbn
9781439863374
Lccn
2011046277
Other physical details
ill.
System control number
  • 3969528-01okla_normanlaw
  • (SIRSI)3969528
  • (Sirsi) i9781439863374
Label
Applications of combinatorial matrix theory to Laplacian matrices of graphs, Jason J. Molitierno
Publication
Bibliography note
Includes bibliographical references and index
Dimensions
27 cm.
Extent
405 p.
Isbn
9781439863374
Lccn
2011046277
Other physical details
ill.
System control number
  • 3969528-01okla_normanlaw
  • (SIRSI)3969528
  • (Sirsi) i9781439863374

Library Locations

  • Architecture LibraryBorrow it
    Gould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US
    35.205706 -97.445050
  • Bizzell Memorial LibraryBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Boorstin CollectionBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Chinese Literature Translation ArchiveBorrow it
    401 W. Brooks St., RM 414, Norman, OK, 73019, US
    35.207487 -97.447906
  • Engineering LibraryBorrow it
    Felgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US
    35.205706 -97.445050
  • Fine Arts LibraryBorrow it
    Catlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US
    35.210371 -97.448244
  • Harry W. Bass Business History CollectionBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • History of Science CollectionsBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • John and Mary Nichols Rare Books and Special CollectionsBorrow it
    401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • Library Service CenterBorrow it
    2601 Technology Place, Norman, OK, 73019, US
    35.185561 -97.398361
  • Price College Digital LibraryBorrow it
    Adams Hall 102 307 West Brooks St., Norman, OK, 73019, US
    35.210371 -97.448244
  • Western History CollectionsBorrow it
    Monnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US
    35.209584 -97.445414
Processing Feedback ...