Graph Theory

    • Is a branch of Discrete Mathematics
    • [http: //en.wikipedia.org/wiki/Leonhard_Euler Leonhard Euler] is first known contributor
    • Applications are usually with labeled graphs
    • Used in sociology, chemistry and physics
    • Related areas of mathematics are combinatorics and group theory
    • Most famous problem is the four color problem
  • Graph theory is the study of graphs used in mathematics to show relationship between items of a collection.
  • Glossary

    1. Graph: Is made up of two elements, vertices and edges
    2. Vertex: The basic element of a graph, exists as a single node
    3. Order: The total number of vertices contained in a graph
    4. Edge: The line that connects two vertices to one another
    5. Tree: A type of acyclic graph
    6. Subgraph: A subset of a larger graph that contains at the least all of the elements of the smaller graph
    7. Walk: Alternating series of vertices and edges capped on both ends by a vertex

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