eBook - PDF

Eigenspaces of Graphs

Name: Eigenspaces of Graphs
Author: Dragos Cvetkovic,Peter Rowlinson,Slobodan Simic

Dragos Cvetkovic,

Peter Rowlinson,

Slobodan Simic,

English
PDF
Available on iOS & Android

eBook - PDF

Eigenspaces of Graphs

Dragos Cvetkovic,

Peter Rowlinson,

Slobodan Simic,

About this book

Current research on the spectral theory of finite graphs may be seen as part of a wider effort to forge closer links between algebra and combinatorics (in particular between linear algebra and graph theory).This book describes how this topic can be strengthened by exploiting properties of the eigenspaces of adjacency matrices associated with a graph. The extension of spectral techniques proceeds at three levels: using eigenvectors associated with an arbitrary labelling of graph vertices, using geometrical invariants of eigenspaces such as graph angles and main angles, and introducing certain kinds of canonical eigenvectors by means of star partitions and star bases. One objective is to describe graphs by algebraic means as far as possible, and the book discusses the Ulam reconstruction conjecture and the graph isomorphism problem in this context. Further problems of graph reconstruction and identification are used to illustrate the importance of graph angles and star partitions in relation to graph structure. Specialists in graph theory will welcome this treatment of important new research.

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Yes, you can access Eigenspaces of Graphs by Dragos Cvetkovic,Peter Rowlinson,Slobodan Simic in PDF and/or ePUB format, as well as other popular books in Mathematics & Discrete Mathematics. We have over one million books available in our catalogue for you to explore.