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Chapter 3: Graphs

Mathematical concepts and processes

• Graphs
  • Definition of a graph
    • Order of a graph
    • Degree of a vertex
    • Name a stop
    • Parallel edges incident edge
    • Adjacent vertices
    • Related graph
    • Complete graph
  • Chain and cycle in a graph
    • Length of a chain or a cycle in a graph
    • Distance between two vertices in a graph
  • Chain and simple cycles
  • Eulerian chain
  • Eulerian cycle
  • Hamiltonian chain and Hamiltonian cycle
  • Tree
  • Directed graph
  • Valued graph
  • To optimise
    • Tree with minimum values
    • Tree with minimum values between two vertices
    • Chromatic number
    • Critical path

Contents

• Mathematical recap
• My math tools
• Competence situations
• Flash drills
• Deepening of knowledge
• Answer keys
• Interactive PDFs
• Downloadable digital content

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