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Algorithmic graph theory and perfect graphs / / Martin Charles Golumbic
Algorithmic graph theory and perfect graphs / / Martin Charles Golumbic
Autore Golumbic Martin Charles
Pubbl/distr/stampa New York, New York ; ; London, England : , : Academic Press, , 1980
Descrizione fisica 1 online resource (307 p.)
Disciplina 511/.5
Collana Computer Science and Applied Mathematics
Soggetto topico Perfect graphs
ISBN 1-4832-7197-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; Algorithmic Graph Theory and Perfect Graphs; Copyright Page; Dedication; Table of Contents; Foreword; Preface; Acknowledgments; List of Symbols; Chapter 1. Graph Theoretic Foundations ; 1. Basic Definitions and Notations; 2. Intersection Graphs; 3. Interval Graphs-A Sneak Preview of the Notions Coming Up; 4. Summary; Exercises; Bibliography; Chapter 2. The Design of Efficient Algorithms; 1. The Complexity of Computer Algorithms; 2. Data Structures; 3. How to Explore a Graph; 4. Transitive Tournaments and Topological Sorting; Exercises; Bibliography; Chapter 3. Perfect Graphs
1. The Star of the Show2. The Perfect Graph Theorem; 3. p-Critical and Partitionable Graphs; 4. A Polyhedral Characterization of Perfect Graphs; 5. A Polyhedral Characterization of p-Critical Graphs; 6. The Strong Perfect Graph Conjecture; Exercises; Bibliography; Chapter 4. Triangulated Graphs; 1. Introduction; 2. Characterizing Triangulated Graphs; 3. Recognizing Triangulated Graphs by Lexicographic Breadth-First Search; 4. The Complexity of Recognizing Triangulated Graphs; 5. Triangulated Graphs as Intersection Graphs; 6. Triangulated Graphs Are Perfect
7. Fast Algorithms for the COLORING, CLIQUE, STABLE SET, and CLIQUE-COVER Problems on Triangulated GraphsExercises; Bibliography; Chapter 5. Comparability Graphs; 1. Γ-Chains and Implication Classes; 2. Uniquely Partially Orderable Graphs; 3. The Number of Transitive Orientations; 4. Schemes and G-Decompositions-An Algorithm for Assigning Transitive Orientations; 5. The Γ*-Matroid of a Graph; 6. The Complexity of Comparability Graph Recognition; 7. Coloring and Other Problems on Comparability Graphs; 8. The Dimension of Partial Orders; Exercises; Bibliography; Chapter 6. Split Graphs
1. An Introduction to Chapters 6-8: Interval, Permutation, and Split Graphs2. Characterizing Split Graphs; 3. Degree Sequences and Split Graphs; Exercises; Bibliography; Chapter 7. Permutation Graphs; 1. Introduction; 2. Characterizing Permutation Graphs; 3. Permutation Labelings; 4. Applications; 5. Sorting a Permutation Using Queues in Parallel; Exercises; Bibliography; Chapter 8. Interval Graphs; 1. How It All Started; 2. Some Characterizations of Interval Graphs; 3. The Complexity of Consecutive 1's Testing; 4. Applications of Interval Graphs; 5. Preference and Indifference
6. Circular-Arc GraphsExercises; Bibliography; Chapter 9. Superperfect Graphs; 1. Coloring Weighted Graphs; 2. Superperfection; 3. An Infinite Class of Superperfect Noncomparability Graphs; 4. When Does Superperfect Equal Comparability?; 5. Composition of Superperfect Graphs; 6. A Representation Using the Consecutive 1's Property; Exercises; Bibliography; Chapter 10. Threshold Graphs; 1. The Threshold Dimension; 2. Degree Partition of Threshold Graphs; 3. A Characterization Using Permutations; 4. An Application to Synchronizing Parallel Processes; Exercises; Bibliography
Chapter 11. Not So Perfect Graphs
Record Nr. UNINA-9910786640403321
Golumbic Martin Charles  
New York, New York ; ; London, England : , : Academic Press, , 1980
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Algorithmic graph theory and perfect graphs / / Martin Charles Golumbic
Algorithmic graph theory and perfect graphs / / Martin Charles Golumbic
Autore Golumbic Martin Charles
Pubbl/distr/stampa New York, New York ; ; London, England : , : Academic Press, , 1980
Descrizione fisica 1 online resource (307 p.)
Disciplina 511/.5
Collana Computer Science and Applied Mathematics
Soggetto topico Perfect graphs
ISBN 1-4832-7197-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; Algorithmic Graph Theory and Perfect Graphs; Copyright Page; Dedication; Table of Contents; Foreword; Preface; Acknowledgments; List of Symbols; Chapter 1. Graph Theoretic Foundations ; 1. Basic Definitions and Notations; 2. Intersection Graphs; 3. Interval Graphs-A Sneak Preview of the Notions Coming Up; 4. Summary; Exercises; Bibliography; Chapter 2. The Design of Efficient Algorithms; 1. The Complexity of Computer Algorithms; 2. Data Structures; 3. How to Explore a Graph; 4. Transitive Tournaments and Topological Sorting; Exercises; Bibliography; Chapter 3. Perfect Graphs
1. The Star of the Show2. The Perfect Graph Theorem; 3. p-Critical and Partitionable Graphs; 4. A Polyhedral Characterization of Perfect Graphs; 5. A Polyhedral Characterization of p-Critical Graphs; 6. The Strong Perfect Graph Conjecture; Exercises; Bibliography; Chapter 4. Triangulated Graphs; 1. Introduction; 2. Characterizing Triangulated Graphs; 3. Recognizing Triangulated Graphs by Lexicographic Breadth-First Search; 4. The Complexity of Recognizing Triangulated Graphs; 5. Triangulated Graphs as Intersection Graphs; 6. Triangulated Graphs Are Perfect
7. Fast Algorithms for the COLORING, CLIQUE, STABLE SET, and CLIQUE-COVER Problems on Triangulated GraphsExercises; Bibliography; Chapter 5. Comparability Graphs; 1. Γ-Chains and Implication Classes; 2. Uniquely Partially Orderable Graphs; 3. The Number of Transitive Orientations; 4. Schemes and G-Decompositions-An Algorithm for Assigning Transitive Orientations; 5. The Γ*-Matroid of a Graph; 6. The Complexity of Comparability Graph Recognition; 7. Coloring and Other Problems on Comparability Graphs; 8. The Dimension of Partial Orders; Exercises; Bibliography; Chapter 6. Split Graphs
1. An Introduction to Chapters 6-8: Interval, Permutation, and Split Graphs2. Characterizing Split Graphs; 3. Degree Sequences and Split Graphs; Exercises; Bibliography; Chapter 7. Permutation Graphs; 1. Introduction; 2. Characterizing Permutation Graphs; 3. Permutation Labelings; 4. Applications; 5. Sorting a Permutation Using Queues in Parallel; Exercises; Bibliography; Chapter 8. Interval Graphs; 1. How It All Started; 2. Some Characterizations of Interval Graphs; 3. The Complexity of Consecutive 1's Testing; 4. Applications of Interval Graphs; 5. Preference and Indifference
6. Circular-Arc GraphsExercises; Bibliography; Chapter 9. Superperfect Graphs; 1. Coloring Weighted Graphs; 2. Superperfection; 3. An Infinite Class of Superperfect Noncomparability Graphs; 4. When Does Superperfect Equal Comparability?; 5. Composition of Superperfect Graphs; 6. A Representation Using the Consecutive 1's Property; Exercises; Bibliography; Chapter 10. Threshold Graphs; 1. The Threshold Dimension; 2. Degree Partition of Threshold Graphs; 3. A Characterization Using Permutations; 4. An Application to Synchronizing Parallel Processes; Exercises; Bibliography
Chapter 11. Not So Perfect Graphs
Record Nr. UNINA-9910811710303321
Golumbic Martin Charles  
New York, New York ; ; London, England : , : Academic Press, , 1980
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Tolerance graphs / / Martin Charles Golumbic, Ann N. Trenk [[electronic resource]]
Tolerance graphs / / Martin Charles Golumbic, Ann N. Trenk [[electronic resource]]
Autore Golumbic Martin Charles
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 2004
Descrizione fisica 1 online resource (xii, 265 pages) : digital, PDF file(s)
Disciplina 511.5
Collana Cambridge studies in advanced mathematics
Soggetto topico Graph theory
ISBN 1-107-14728-X
1-280-44950-0
9786610449507
0-511-18563-4
0-511-18480-8
0-511-18745-9
0-511-31356-X
0-511-54298-4
0-511-18652-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Early work on tolerance graphs -- Trees, cotrees and bipartite graphs -- Interval probe graphs -- Bitolerance graphs and ordered sets -- Unit and 50% tolerance graphs -- Comparability and invariance results -- Bounded bitolerance recognition -- Algorithms on tolerance graphs -- The hierarchy of bitolerance orders -- Tolerance models on trees -- Phi-tolerance models -- Directed tolerance graphs -- Open questions and further directions.
Record Nr. UNINA-9910457917403321
Golumbic Martin Charles  
Cambridge : , : Cambridge University Press, , 2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Tolerance graphs / / Martin Charles Golumbic, Ann N. Trenk [[electronic resource]]
Tolerance graphs / / Martin Charles Golumbic, Ann N. Trenk [[electronic resource]]
Autore Golumbic Martin Charles
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 2004
Descrizione fisica 1 online resource (xii, 265 pages) : digital, PDF file(s)
Disciplina 511.5
Collana Cambridge studies in advanced mathematics
Soggetto topico Graph theory
ISBN 1-107-14728-X
1-280-44950-0
9786610449507
0-511-18563-4
0-511-18480-8
0-511-18745-9
0-511-31356-X
0-511-54298-4
0-511-18652-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Early work on tolerance graphs -- Trees, cotrees and bipartite graphs -- Interval probe graphs -- Bitolerance graphs and ordered sets -- Unit and 50% tolerance graphs -- Comparability and invariance results -- Bounded bitolerance recognition -- Algorithms on tolerance graphs -- The hierarchy of bitolerance orders -- Tolerance models on trees -- Phi-tolerance models -- Directed tolerance graphs -- Open questions and further directions.
Record Nr. UNINA-9910784438503321
Golumbic Martin Charles  
Cambridge : , : Cambridge University Press, , 2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Tolerance graphs / / Martin Charles Golumbic, Ann N. Trenk [[electronic resource]]
Tolerance graphs / / Martin Charles Golumbic, Ann N. Trenk [[electronic resource]]
Autore Golumbic Martin Charles
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 2004
Descrizione fisica 1 online resource (xii, 265 pages) : digital, PDF file(s)
Disciplina 511.5
Collana Cambridge studies in advanced mathematics
Soggetto topico Graph theory
ISBN 1-107-14728-X
1-280-44950-0
9786610449507
0-511-18563-4
0-511-18480-8
0-511-18745-9
0-511-31356-X
0-511-54298-4
0-511-18652-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Early work on tolerance graphs -- Trees, cotrees and bipartite graphs -- Interval probe graphs -- Bitolerance graphs and ordered sets -- Unit and 50% tolerance graphs -- Comparability and invariance results -- Bounded bitolerance recognition -- Algorithms on tolerance graphs -- The hierarchy of bitolerance orders -- Tolerance models on trees -- Phi-tolerance models -- Directed tolerance graphs -- Open questions and further directions.
Record Nr. UNINA-9910828052703321
Golumbic Martin Charles  
Cambridge : , : Cambridge University Press, , 2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The zeroth book of graph theory : an annotated translation of of "Les réseaux (ou graphes)"André Sainte-Laguë (1926) / / Martin Charles Golumbic, André Sainte-Laguë
The zeroth book of graph theory : an annotated translation of of "Les réseaux (ou graphes)"André Sainte-Laguë (1926) / / Martin Charles Golumbic, André Sainte-Laguë
Autore Golumbic Martin Charles
Edizione [1st ed. 2021.]
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2021]
Descrizione fisica 1 online resource (XII, 122 p. 24 illus., 3 illus. in color.)
Disciplina 511.5
Collana History of Mathematics Subseries
Soggetto topico Discrete mathematics
Graph theory
Operations Research, Management Science
ISBN 3-030-61420-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Foreword -- Preface -- Tracing the topics in Les Réseaux (ou Graphes) -- Networks (or Graphs)— André Sainte-Laguë (1926) -- I Introduction and definitions -- II Trees -- III Chains and cycles -- IV Regular graphs -- V Cubic graphs -- VI Tableaux -- VII Hamiltonian graphs -- VIII Chessboard problems -- X Conclusion -- A short biography of André Sainte-Laguë -- Biography of Guy Ghidale Iliovici -- Bibliography -- Index -- Glossary -- Acknowledgements -- Martin Charles Golumbic.
Record Nr. UNISA-996466549603316
Golumbic Martin Charles  
Cham, Switzerland : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
The zeroth book of graph theory : an annotated translation of of "Les réseaux (ou graphes)"André Sainte-Laguë (1926) / / Martin Charles Golumbic, André Sainte-Laguë
The zeroth book of graph theory : an annotated translation of of "Les réseaux (ou graphes)"André Sainte-Laguë (1926) / / Martin Charles Golumbic, André Sainte-Laguë
Autore Golumbic Martin Charles
Edizione [1st ed. 2021.]
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2021]
Descrizione fisica 1 online resource (XII, 122 p. 24 illus., 3 illus. in color.)
Disciplina 511.5
Collana History of Mathematics Subseries
Soggetto topico Discrete mathematics
Graph theory
Operations Research, Management Science
ISBN 3-030-61420-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Foreword -- Preface -- Tracing the topics in Les Réseaux (ou Graphes) -- Networks (or Graphs)— André Sainte-Laguë (1926) -- I Introduction and definitions -- II Trees -- III Chains and cycles -- IV Regular graphs -- V Cubic graphs -- VI Tableaux -- VII Hamiltonian graphs -- VIII Chessboard problems -- X Conclusion -- A short biography of André Sainte-Laguë -- Biography of Guy Ghidale Iliovici -- Bibliography -- Index -- Glossary -- Acknowledgements -- Martin Charles Golumbic.
Record Nr. UNINA-9910739404603321
Golumbic Martin Charles  
Cham, Switzerland : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui