Applications of combinatorial matrix theory to Laplacian matrices of graphs

On the surface, matrix theory and graph theory seem like very different branches of mathematics. However, adjacency, Laplacian, and incidence matrices are commonly used to represent graphs, and many properties of matrices can give us useful information about the structure of graphs. Applications of...

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Detalles Bibliográficos
Autor principal: Molitierno, Jason J
Lenguaje:eng
Publicado: CRC Press 2012
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/1486395
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author Molitierno, Jason J
author_facet Molitierno, Jason J
author_sort Molitierno, Jason J
collection CERN
description On the surface, matrix theory and graph theory seem like very different branches of mathematics. However, adjacency, Laplacian, and incidence matrices are commonly used to represent graphs, and many properties of matrices can give us useful information about the structure of graphs. Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs is a compilation of many of the exciting results concerning Laplacian matrices developed since the mid 1970s by well-known mathematicians such as Fallat, Fiedler, Grone, Kirkland, Merris, Mohar, Neumann, Shader, Sunder, and more. The text i
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spelling cern-14863952020-07-16T20:01:52Zhttp://cds.cern.ch/record/1486395engMolitierno, Jason JApplications of combinatorial matrix theory to Laplacian matrices of graphsMathematical Physics and MathematicsOn the surface, matrix theory and graph theory seem like very different branches of mathematics. However, adjacency, Laplacian, and incidence matrices are commonly used to represent graphs, and many properties of matrices can give us useful information about the structure of graphs. Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs is a compilation of many of the exciting results concerning Laplacian matrices developed since the mid 1970s by well-known mathematicians such as Fallat, Fiedler, Grone, Kirkland, Merris, Mohar, Neumann, Shader, Sunder, and more. The text iCRC Pressoai:cds.cern.ch:14863952012
spellingShingle Mathematical Physics and Mathematics
Molitierno, Jason J
Applications of combinatorial matrix theory to Laplacian matrices of graphs
title Applications of combinatorial matrix theory to Laplacian matrices of graphs
title_full Applications of combinatorial matrix theory to Laplacian matrices of graphs
title_fullStr Applications of combinatorial matrix theory to Laplacian matrices of graphs
title_full_unstemmed Applications of combinatorial matrix theory to Laplacian matrices of graphs
title_short Applications of combinatorial matrix theory to Laplacian matrices of graphs
title_sort applications of combinatorial matrix theory to laplacian matrices of graphs
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1486395
work_keys_str_mv AT molitiernojasonj applicationsofcombinatorialmatrixtheorytolaplacianmatricesofgraphs

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