Small worlds : the dynamics of networks between order and randomness /

The small-world phenomenon states that, soon after meeting a stranger, we are surprised to discover that we are connected through a short chain of acquaintances. This text provides an exploration of the conditions in which a small world can arise.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Watts, Duncan J., 1971- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, New Jersey : Princeton University Press, [1999]
Colección:Princeton studies in complexity.
Temas:
Graph theory.
Network analysis (Planning)
Social networks > Mathematical models.
Analyse de réseau (Planification)
Réseaux sociaux > Modèles mathématiques.
MATHEMATICS > General.
Mathematisches Modell
Netzplantechnik
Soziales Netzwerk
Graphentheoretisches Modell
Graphentheorie
Netwerken.
Topologie.
Dynamische systemen.
Grafentheorie.
Teoria dos grafos.
Modelos matemáticos.
Graphes, Théorie des.
Analyse de réseau (planification)
Graphentheoretisches Modell.
Graphentheorie.
Soziales Netzwerk.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Kevin Bacon, the Small World, and Why It All Matters
  • Structure
  • Social Networks and the Small World
  • A Brief History of the Small World
  • Difficulties with the Real World
  • Reframing the Question to Consider All Worlds
  • Background on the Theory of Graphs
  • Basic Definitions
  • Length and Length Scaling
  • Neighbourhoods and Distribution Sequences
  • Clustering
  • "Lattice Graphs" and Random Graphs
  • Dimension and Embedding of Graphs
  • Big Worlds and Small Worlds: Models of Graphs
  • Relational Graphs
  • [alpha]-Graphs
  • A Stripped-Down Model: [beta]-Graphs
  • Shortcuts and Contractions: Model Invariance
  • Lies, Damned Lies, and (More) Statistics
  • Spatial Graphs
  • Uniform Spatial Graphs
  • Gaussian Spatial Graphs
  • Main Points in Review
  • Explanations and Ruminations
  • Going to Extremes
  • The Connected-Caveman World
  • Moore Graphs as Approximate Random Graphs
  • Transitions in Relational Graphs
  • Local and Global Length Scales
  • Length and Length Scaling
  • Clustering Coefficient
  • Contractions
  • Results and Comparisons with [beta]-Model
  • Transitions in Spatial Graphs
  • Spatial Length versus Graph Length
  • Length and Length Scaling
  • Clustering
  • Results and Comparisons
  • Variations on Spatial and Relational Graphs
  • Main Points in Review
  • "It's a Small World after All": Three Real Graphs
  • Making Bacon
  • Examining the Graph
  • Comparisons
  • The Power of Networks
  • Examining the System
  • Comparisons
  • A Worm's Eye View
  • Examining the System
  • Comparisons
  • Other Systems.

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