Graphs and matrices / R.B. Bapat.

Author/creator Bapat, R. B.
Format Electronic
Publication InfoLondon ; New York : Springer ; New Delhi : Hindustan Book Agency,
Descriptionix, 171 p. : ill. ; 25 cm.
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2010 English International
Supplemental ContentFull text available from Springer Books
Subjects

SeriesUniversitext
Universitext. ^A714665
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.
Abstract 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.
Bibliography noteIncludes bibliographical references (p. 165-168) and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2010927407
ISBN9781848829800 (pbk.)
ISBN1848829809 (pbk.)
ISBN9781848829817
ISBN1848829817
Publisher number12741472