Eigenvalues Multiplicities And Graphs

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Eigenvalues Multiplicities And Graphs

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Author : Charles R. Johnson
language : en
Publisher: Cambridge University Press
Release Date : 2018-02-12

Eigenvalues Multiplicities And Graphs written by Charles R. Johnson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-12 with Mathematics categories.

This book investigates the influence of the graph of a symmetric matrix on the multiplicities of its eigenvalues.

Graph Symmetry

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Author : Gena Hahn
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-06-30

Graph Symmetry written by Gena Hahn and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-30 with Mathematics categories.

The last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs. In the design of large interconnection networks it was realised that many of the most fre quently used models for such networks are Cayley graphs of various well-known groups. This has spawned a considerable amount of activity in the study of the combinatorial properties of such graphs. A number of symposia and congresses (such as the bi-annual IWIN, starting in 1991) bear witness to the interest of the computer science community in this subject. On the mathematical side, and independently of any interest in applications, progress in group theory has made it possible to make a realistic attempt at a complete description of vertex-transitive graphs. The classification of the finite simple groups has played an important role in this respect.

Inverse Problems And Zero Forcing For Graphs

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Author : Leslie Hogben
language : en
Publisher: American Mathematical Society
Release Date : 2022-07-21

Inverse Problems And Zero Forcing For Graphs written by Leslie Hogben and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-21 with Mathematics categories.

This book provides an introduction to the inverse eigenvalue problem for graphs (IEP-$G$) and the related area of zero forcing, propagation, and throttling. The IEP-$G$ grew from the intersection of linear algebra and combinatorics and has given rise to both a rich set of deep problems in that area as well as a breadth of “ancillary” problems in related areas. The IEP-$G$ asks a fundamental mathematical question expressed in terms of linear algebra and graph theory, but the significance of such questions goes beyond these two areas, as particular instances of the IEP-$G$ also appear as major research problems in other fields of mathematics, sciences and engineering. One approach to the IEP-$G$ is through rank minimization, a relevant problem in itself and with a large number of applications. During the past 10 years, important developments on the rank minimization problem, particularly in relation to zero forcing, have led to significant advances in the IEP-$G$. The monograph serves as an entry point and valuable resource that will stimulate future developments in this active and mathematically diverse research area.

Spectra Of Graphs

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Author : Dragoš M. Cvetković
language : en
Publisher:
Release Date : 1980

Spectra Of Graphs written by Dragoš M. Cvetković and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.

The theory of graph spectra can, in a way, be considered as an attempt to utilize linear algebra including, in particular, the well-developed theory of matrices for the purposes of graph theory and its applications. to the theory of matrices; on the contrary, it has its own characteristic features and specific ways of reasoning fully justifying it to be treated as a theory in its own right.

Two Topics In Mathematics

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Author : Bogoljub Stanković
language : en
Publisher:
Release Date : 2004

Two Topics In Mathematics written by Bogoljub Stanković and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Dirichlet principle categories.

Zbornik Radova

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Author : Matematički institut (Belgrade, Serbia)
language : en
Publisher:
Release Date : 2000

Zbornik Radova written by Matematički institut (Belgrade, Serbia) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2008

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.

Houston Journal Of Mathematics

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Author :
language : en
Publisher:
Release Date : 1979

Houston Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.

Proceedings Of The Southeastern Conference On Combinatorics Graph Theory And Computing

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Author :
language : en
Publisher:
Release Date : 1990

Proceedings Of The Southeastern Conference On Combinatorics Graph Theory And Computing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Combinatorial analysis categories.

Discussiones Mathematicae

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Author :
language : en
Publisher:
Release Date : 1998

Discussiones Mathematicae written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Graph theory categories.