Graphs and matrices

By:

Bapat, R. B

Material type: Text

9789380250694

Subject(s):

DDC classification:

511.5 22 BAP-G

LOC classification:

QA166 .B33 2010

Other classification:

510
MAT 055f
MAT 150f
SK 890

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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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Books	IIITD General Stacks	Mathematics	511.5 BAP-G (Browse shelf(Opens below))	Available		007053

Total holds: 0

Includes bibliographical references and index.

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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