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Exploring Points and Lines in Networks | Graph Theory

Discover the fundamentals of points and lines in networks using graph theory. Learn about nodes, arcs, even and odd nodes, traversable networks, and more. Practice drawing networks in perspective with homework exercises provided.

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Exploring Points and Lines in Networks | Graph Theory

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  1. Points in Networks

  2. http://math.youngzones.org/Konigsberg.html • Graph Theory: • Description of a Point: A point is a NODE of a network • Description of a Line: A line is an arc connecting either two nodes or a node to itself

  3. Even or Odd Node • Even Node: has an even number of arcs from a node • Odd Node: has an odd number of arcs from a node

  4. Def: Traversable • A network is said to be traversable if you can trace the entire network without repeating any section • Note: a network is traversable if it has two or less odd nodes

  5. Drawing in perspective

  6. Hwk: LM 1.4 and p. 26, #14,15,16 and LM 1.5

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