Graphs and Matrices

• Κύριος συγγραφέας: Bapat, Ravindra B. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London : Imprint: Springer, 2014.
• Έκδοση: 2nd ed. 2014.
• Σειρά: Universitext,
• Θέματα: Mathematics.; Matrix theory.; Algebra.; Linear and Multilinear Algebras, Matrix Theory.

This new edition illustrates the power of linear algebra in the study of graphs. The emphasis on matrix techniques is greater than in other texts on algebraic graph theory. Important matrices associated with graphs (for example, incidence, adjacency and Laplacian matrices) are treated in detail. Pre...

Πίνακας περιεχομένων:

• Preliminaries
• Incidence Matrix
• Adjacency Matrix
• Laplacian Matrix
• Cycles and Cuts
• Regular Graphs
• Line Graph of a Tree
• Algebraic Connectivity
• Distance Matrix of a Tree
• Resistance Distance
• Laplacian Eigenvalues of Threshold Graphs
• Positive Definite Completion Problem
• Matrix Games Based on Graphs.