Nouveauté
| Titre : | The Mathematics of Finite Networks: An Introduction to Operator Graph Theory |
| Auteurs : | Rudolph Michael, Auteur |
| Type de document : | texte imprimé |
| Editeur : | Cambridge University Press, 2022 |
| ISBN/ISSN/EAN : | 978-1-107-13443-0 |
| Format : | 342 p. / ill. / 25 cm |
| Langues: | Anglais |
| Langues originales: | Anglais |
| Index. décimale : | 510 (Mathématiques) |
| Catégories : | |
| Mots-clés: | Finite Networks ; Graph Theory ; Operator Graph Theory ; Vertices ; Edges ; Paths ; Cycles ; Connectivity ; Graph Operators ; Vector Spaces ; Linear Operators ; Operator Calculus ; Network Modeling ; Graph Transformations ; Network Structure ; Graph Generation ; Graph Measurement ; Discrete Systems ; Network Analysis ; Graph Mapping ; Algebraic Graph Theory ; Network Flow ; Graph Connectivity ; Structural Properties ; Finite Graphs ; Mathematical Modeling ; Computational Methods ; Discrete Mathematics ; Network Dynamics ; Applied Graph Theory |
| Résumé : | The Mathematics of Finite Networks: An Introduction to Operator Graph Theory presents a rigorous mathematical framework for studying finite networks using a method known as operator graph theory. The book begins by reviewing the foundations of classical graph theory, including vertices, edges, paths, cycles, and connectivity, providing the essential tools needed to understand the structure of networks. It then introduces operator calculus as a powerful mathematical technique that allows graphs to be represented as operators acting on vector spaces, enabling a more systematic and algebraic approach to analyzing network behavior. The text focuses on finite networks rather than infinite or continuous models, making the methods particularly suitable for real-world applications where networks have a fixed number of nodes and connections. As the material develops, the book explores ways to generate, measure, and transform graphs using operator-based methods, allowing researchers to study properties such as network flow, connectivity, and structural transformations. Practical examples demonstrate how operator graph theory can be applied to discrete systems, engineering models, and computational problems. The book emphasizes both theoretical rigor and computational reasoning, bridging the gap between abstract mathematics and applied network analysis. Overall, it provides graduate students and researchers with a structured introduction to advanced methods for modeling and analyzing finite network systems using modern mathematical tools. |
Exemplaires (2)
| Code-barres | Cote | Support | Localisation | Section | Disponibilité |
|---|---|---|---|---|---|
| 25/295 | 510/1802/1 | Livre | BU Centrale Batna 1 | Deuxième étage : Architecture, sciences et technologies | Disponible |
| 25/296 | 510/1802/2 | Livre | BU Centrale Batna 1 | Deuxième étage : Architecture, sciences et technologies | Disponible |
