Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications Book 66) 1st Edition by Dragos Cvetkovic (PDF)

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    Ebook Info

    • Published: 2017
    • Number of pages: 276 pages
    • Format: PDF
    • File Size: 11.25 MB
    • Authors: Dragos Cvetkovic

    Description

    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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    Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications Book 66) 1st Edition PDF Free Download
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    Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications Book 66) 1st Edition 2017 PDF Free Download
    Download Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications Book 66) 1st Edition PDF
    Free Download Ebook Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications Book 66) 1st Edition

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