Lecture Synopsis

25. Disjoint Set

• A few more things about graphs:
  • Definitions (for directed graphs)
    • Strongly connected
    • Weakly connected
  • Proofs (for undirected graphs)
    • The sum of the degrees of all vertices is equal to twice the number of edges.
    • The number of vertices with odd degree is even.

• Disjoint Set ADT
  • Description of data elements (disjoint sets)
  • Operations
    • Create
    • Union
    • Find