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Mathematical foundations and applications of graph entropy Edited by Matthias Dehmer [and four others]
| Mathematical foundations and applications of graph entropy Edited by Matthias Dehmer [and four others] |
| Pubbl/distr/stampa | Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2016 |
| Descrizione fisica | 1 online resource (299 p.) |
| Disciplina | 511.5 |
| Collana | Quantitative and Network Biology |
| Soggetto topico | Graph theory - Data processing |
| Soggetto genere / forma | Electronic books. |
| ISBN |
3-527-69325-4
3-527-69322-X 3-527-69324-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; List of Contributors; Preface; Chapter 1 Entropy and Renormalization in Chaotic Visibility Graphs; 1.1 Mapping Time Series to Networks; 1.1.1 Natural and Horizontal Visibility Algorithms; 1.1.2 A Brief Overview of Some Initial Applications; 1.1.2.1 Seismicity; 1.1.2.2 Hurricanes; 1.1.2.3 Turbulence; 1.1.2.4 Financial Applications; 1.1.2.5 Physiology; 1.2 Visibility Graphs and Entropy; 1.2.1 Definitions of Entropy in Visibility Graphs; 1.2.2 Pesin Theorem in Visibility Graphs; 1.2.3 Graph Entropy Optimization and Critical Points
1.3 Renormalization Group Transformations of Horizontal Visibility Graphs1.3.1 Tangent Bifurcation; 1.3.2 Period-Doubling Accumulation Point; 1.3.3 Quasi-Periodicity; 1.3.4 Entropy Extrema and RG Transformation; 1.3.4.1 Intermittency; 1.3.4.2 Period Doubling; 1.3.4.3 Quasi-periodicity; 1.4 Summary; 1.5 Acknowledgments; References; Chapter 2 Generalized Entropies of Complex and Random Networks; 2.1 Introduction; 2.2 Generalized Entropies; 2.3 Entropy of Networks: Definition and Properties; 2.4 Application of Generalized Entropy for Network Analysis; 2.5 Open Networks; 2.6 Summary; References Chapter 3 Information Flow and Entropy Production on Bayesian Networks3.1 Introduction; 3.1.1 Background; 3.1.2 Basic Ideas of Information Thermodynamics; 3.1.3 Outline of this Chapter; 3.2 Brief Review of Information Contents; 3.2.1 Shannon Entropy; 3.2.2 Relative Entropy; 3.2.3 Mutual Information; 3.2.4 Transfer Entropy; 3.3 Stochastic Thermodynamics for Markovian Dynamics; 3.3.1 Setup; 3.3.2 Energetics; 3.3.3 Entropy Production and Fluctuation Theorem; 3.4 Bayesian Networks; 3.5 Information Thermodynamics on Bayesian Networks; 3.5.1 Setup; 3.5.2 Information Contents on Bayesian Networks 3.5.3 Entropy Production3.5.4 Generalized Second Law; 3.6 Examples; 3.6.1 Example 1: Markov Chain; 3.6.2 Example 2: Feedback Control with a Single Measurement; 3.6.3 Example 3: Repeated Feedback Control with Multiple Measurements; 3.6.4 Example 4: Markovian Information Exchanges; 3.6.5 Example 5: Complex Dynamics; 3.7 Summary and Prospects; References; Chapter 4 Entropy, Counting, and Fractional Chromatic Number; 4.1 Entropy of a Random Variable; 4.2 Relative Entropy and Mutual Information; 4.3 Entropy and Counting; 4.4 Graph Entropy; 4.5 Entropy of a Convex Corner; 4.6 Entropy of a Graph 4.7 Basic Properties of Graph Entropy4.8 Entropy of Some Special Graphs; 4.9 Graph Entropy and Fractional Chromatic Number; 4.10 Symmetric Graphs with respect to Graph Entropy; 4.11 Conclusion; Appendix 4.A; References; Chapter 5 Graph Entropy: Recent Results and Perspectives; 5.1 Introduction; 5.2 Inequalities and Extremal Properties on (Generalized) Graph Entropies; 5.2.1 Inequalities for Classical Graph Entropies and Parametric Measures; 5.2.2 Graph Entropy Inequalities with Information Functions fV, fP and fC; 5.2.3 Information Theoretic Measures of UHG Graphs 5.2.4 Bounds for the Entropies of Rooted Trees and Generalized Trees |
| Record Nr. | UNINA-9910134854503321 |
| Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical foundations and applications of graph entropy Edited by Matthias Dehmer [and four others]
| Mathematical foundations and applications of graph entropy Edited by Matthias Dehmer [and four others] |
| Pubbl/distr/stampa | Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2016 |
| Descrizione fisica | 1 online resource (299 p.) |
| Disciplina | 511.5 |
| Collana | Quantitative and Network Biology |
| Soggetto topico | Graph theory - Data processing |
| ISBN |
3-527-69325-4
3-527-69322-X 3-527-69324-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; List of Contributors; Preface; Chapter 1 Entropy and Renormalization in Chaotic Visibility Graphs; 1.1 Mapping Time Series to Networks; 1.1.1 Natural and Horizontal Visibility Algorithms; 1.1.2 A Brief Overview of Some Initial Applications; 1.1.2.1 Seismicity; 1.1.2.2 Hurricanes; 1.1.2.3 Turbulence; 1.1.2.4 Financial Applications; 1.1.2.5 Physiology; 1.2 Visibility Graphs and Entropy; 1.2.1 Definitions of Entropy in Visibility Graphs; 1.2.2 Pesin Theorem in Visibility Graphs; 1.2.3 Graph Entropy Optimization and Critical Points
1.3 Renormalization Group Transformations of Horizontal Visibility Graphs1.3.1 Tangent Bifurcation; 1.3.2 Period-Doubling Accumulation Point; 1.3.3 Quasi-Periodicity; 1.3.4 Entropy Extrema and RG Transformation; 1.3.4.1 Intermittency; 1.3.4.2 Period Doubling; 1.3.4.3 Quasi-periodicity; 1.4 Summary; 1.5 Acknowledgments; References; Chapter 2 Generalized Entropies of Complex and Random Networks; 2.1 Introduction; 2.2 Generalized Entropies; 2.3 Entropy of Networks: Definition and Properties; 2.4 Application of Generalized Entropy for Network Analysis; 2.5 Open Networks; 2.6 Summary; References Chapter 3 Information Flow and Entropy Production on Bayesian Networks3.1 Introduction; 3.1.1 Background; 3.1.2 Basic Ideas of Information Thermodynamics; 3.1.3 Outline of this Chapter; 3.2 Brief Review of Information Contents; 3.2.1 Shannon Entropy; 3.2.2 Relative Entropy; 3.2.3 Mutual Information; 3.2.4 Transfer Entropy; 3.3 Stochastic Thermodynamics for Markovian Dynamics; 3.3.1 Setup; 3.3.2 Energetics; 3.3.3 Entropy Production and Fluctuation Theorem; 3.4 Bayesian Networks; 3.5 Information Thermodynamics on Bayesian Networks; 3.5.1 Setup; 3.5.2 Information Contents on Bayesian Networks 3.5.3 Entropy Production3.5.4 Generalized Second Law; 3.6 Examples; 3.6.1 Example 1: Markov Chain; 3.6.2 Example 2: Feedback Control with a Single Measurement; 3.6.3 Example 3: Repeated Feedback Control with Multiple Measurements; 3.6.4 Example 4: Markovian Information Exchanges; 3.6.5 Example 5: Complex Dynamics; 3.7 Summary and Prospects; References; Chapter 4 Entropy, Counting, and Fractional Chromatic Number; 4.1 Entropy of a Random Variable; 4.2 Relative Entropy and Mutual Information; 4.3 Entropy and Counting; 4.4 Graph Entropy; 4.5 Entropy of a Convex Corner; 4.6 Entropy of a Graph 4.7 Basic Properties of Graph Entropy4.8 Entropy of Some Special Graphs; 4.9 Graph Entropy and Fractional Chromatic Number; 4.10 Symmetric Graphs with respect to Graph Entropy; 4.11 Conclusion; Appendix 4.A; References; Chapter 5 Graph Entropy: Recent Results and Perspectives; 5.1 Introduction; 5.2 Inequalities and Extremal Properties on (Generalized) Graph Entropies; 5.2.1 Inequalities for Classical Graph Entropies and Parametric Measures; 5.2.2 Graph Entropy Inequalities with Information Functions fV, fP and fC; 5.2.3 Information Theoretic Measures of UHG Graphs 5.2.4 Bounds for the Entropies of Rooted Trees and Generalized Trees |
| Record Nr. | UNINA-9910829886303321 |
| Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Proceedings of HPGDMP 2016 : High Performance Graph Data Management and Processing
| Proceedings of HPGDMP 2016 : High Performance Graph Data Management and Processing |
| Pubbl/distr/stampa | Piscataway, New Jersey : , : IEEE Press, , 2016 |
| Descrizione fisica | 1 online resource (33 pages) |
| Disciplina | 004.3 |
| Soggetto topico |
High performance computing
Supercomputers Graph theory - Data processing |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910169244303321 |
| Piscataway, New Jersey : , : IEEE Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Proceedings of HPGDMP 2016 : High Performance Graph Data Management and Processing
| Proceedings of HPGDMP 2016 : High Performance Graph Data Management and Processing |
| Pubbl/distr/stampa | Piscataway, New Jersey : , : IEEE Press, , 2016 |
| Descrizione fisica | 1 online resource (33 pages) |
| Disciplina | 004.3 |
| Soggetto topico |
High performance computing
Supercomputers Graph theory - Data processing |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996279636403316 |
| Piscataway, New Jersey : , : IEEE Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Quantitative graph theory : mathematical foundations and applications / / edited by Matthias Dehmer, Institute for Theoretical Computer Science, Mathematics and Operations Research, Department of Computer Science, Universitat der Bundeswehr Munc
| Quantitative graph theory : mathematical foundations and applications / / edited by Matthias Dehmer, Institute for Theoretical Computer Science, Mathematics and Operations Research, Department of Computer Science, Universitat der Bundeswehr Munc |
| Pubbl/distr/stampa | Boca Raton : , : CRC Press, , [2015] |
| Descrizione fisica | 1 online resource (516 p.) |
| Disciplina | 511.5 |
| Collana | Discrete mathematics and its applications |
| Soggetto topico |
Graph theory - Data processing
Combinatorial analysis |
| ISBN |
0-429-10326-3
1-4665-8452-1 |
| Classificazione | COM046000MAT036000SCI008000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Dedication; Contents; Preface; Editors; Contributors; Chapter 1 What Is Quantitative Graph Theory?; Chapter 2 Localization of Graph Topological Indices via Majorization Technique; Chapter 3 Wiener Index of Hexagonal Chains with Segments of Equal Length; Chapter 4 Metric-Extremal Graphs; Chapter 5 Quantitative Methods for Nowhere-Zero Flows and Edge Colorings; Chapter 6 Width-Measures for Directed Graphs and Algorithmic Applications; Chapter 7 Betweenness Centrality in Graphs; Chapter 8 On a Variant Szeged and PI* Indices of Thorn Graphs; Chapter 9 Wiener Index of Line Graphs
Chapter 10 Single-Graph Support MeasuresChapter 11 Network Sampling Algorithms and Applications; Chapter 12 Discrimination of Image Textures Using Graph Indices; Chapter 13 Network Analysis Applied to the Political Networks of Mexico; Chapter 14 Social Network Centrality, MovementIdentification, and the Participation ofIndividuals in a Social Movement: The Case of the Canadian Environmental Movement; Chapter 15 Graph Kernels in Chemoinformatics; Chapter 16 Chemical Compound Complexity in Biological Pathways; Back Cover |
| Record Nr. | UNINA-9910787301403321 |
| Boca Raton : , : CRC Press, , [2015] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantitative graph theory : mathematical foundations and applications / / edited by Matthias Dehmer, Institute for Theoretical Computer Science, Mathematics and Operations Research, Department of Computer Science, Universitat der Bundeswehr Munc
| Quantitative graph theory : mathematical foundations and applications / / edited by Matthias Dehmer, Institute for Theoretical Computer Science, Mathematics and Operations Research, Department of Computer Science, Universitat der Bundeswehr Munc |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Boca Raton : , : CRC Press, , [2015] |
| Descrizione fisica | 1 online resource (516 p.) |
| Disciplina | 511.5 |
| Collana | Discrete mathematics and its applications |
| Soggetto topico |
Graph theory - Data processing
Combinatorial analysis |
| ISBN |
0-429-10326-3
1-4665-8452-1 |
| Classificazione | COM046000MAT036000SCI008000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Dedication; Contents; Preface; Editors; Contributors; Chapter 1 What Is Quantitative Graph Theory?; Chapter 2 Localization of Graph Topological Indices via Majorization Technique; Chapter 3 Wiener Index of Hexagonal Chains with Segments of Equal Length; Chapter 4 Metric-Extremal Graphs; Chapter 5 Quantitative Methods for Nowhere-Zero Flows and Edge Colorings; Chapter 6 Width-Measures for Directed Graphs and Algorithmic Applications; Chapter 7 Betweenness Centrality in Graphs; Chapter 8 On a Variant Szeged and PI* Indices of Thorn Graphs; Chapter 9 Wiener Index of Line Graphs
Chapter 10 Single-Graph Support MeasuresChapter 11 Network Sampling Algorithms and Applications; Chapter 12 Discrimination of Image Textures Using Graph Indices; Chapter 13 Network Analysis Applied to the Political Networks of Mexico; Chapter 14 Social Network Centrality, MovementIdentification, and the Participation ofIndividuals in a Social Movement: The Case of the Canadian Environmental Movement; Chapter 15 Graph Kernels in Chemoinformatics; Chapter 16 Chemical Compound Complexity in Biological Pathways; Back Cover |
| Record Nr. | UNINA-9910829069303321 |
| Boca Raton : , : CRC Press, , [2015] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
