Graphs and matrices
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 g...
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| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
London u.a.
Springer
2010
New Delhi Hindustan Book Agency 2010 |
| Schriftenreihe: | Universitext
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| Schlagworte: | |
| Online Zugang: | Inhaltsverzeichnis Cover Inhaltstext |
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| Zusammenfassung: | 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 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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| Beschreibung: | Literaturangaben |
| Beschreibung: | IX, 171 S. graph. Darst. 235 mm x 155 mm |
| ISBN: | 9781848829800 978-1-84882-980-0 |