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Graphs and Matrices

by Bapat, R. B.
Material type: materialTypeLabelBookSeries: Universitext: Publisher: New Delhi: Hindustan Book Agency, 2014Edition: 2nd ed.Description: ix, 193 p. : ill. ; 25 cm.ISBN: 9789380250694 (pbk.).Subject(s): Graph theory | Matrices | Graphentheorie | MathematicsDDC classification: 511.5 B228G2 Online resources: Inhaltsverzeichnis
Contents:
Preliminaries -- Incidence matrix -- Adjacency matrix -- Laplacian matrix -- Cycles and cuts -- Regular graphs -- Algebraic connectivity -- Distance matrix of a tree -- Resistance distance -- Laplacian eigenvalues of threshold graphs -- Positive definite completion problem -- Matrix games based on graphs.
Summary: This book illustrates the elegance and power of matrix techniques in the study of graphs by means of several results, both classical and recent. The emphasis on matrix techniques is greater than other standard references on algebraic graph theory, and the important matrices associated with graphs such as incidence, adjacency, and Laplacian matrices are treated in detail.
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General Section 		511.5 B228G2 (Browse shelf) Available 7156

Includes bibliographical references (p. 165-168) and index.

Preliminaries -- Incidence matrix -- Adjacency matrix -- Laplacian matrix -- Cycles and cuts -- Regular graphs -- Algebraic connectivity -- Distance matrix of a tree -- Resistance distance -- Laplacian eigenvalues of threshold graphs -- Positive definite completion problem -- Matrix games based on graphs.

This book illustrates the elegance and power of matrix techniques in the study of graphs by means of several results, both classical and recent. The emphasis on matrix techniques is greater than other standard references on algebraic graph theory, and the important matrices associated with graphs such as incidence, adjacency, and Laplacian matrices are treated in detail.

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