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Graph Theory

  • John M. Harris
  • Jeffry L. Hirst
  • Michael J. Mossinghoff
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

The Pregolya River passes through a city once known as Königsberg. In the 1700s seven bridges were situated across this river (Figure 1.1), and no resident of the city was ever able to walk a route that crossed each of these bridges exactly once. In 1736 the Swiss mathematician Leonhard Euler gave a proof that no such route existed, and his work on the “Königsberg Bridge Problem” is considered by many to be the beginning of the field of graph theory.

Keywords

Span Tree Bipartite Graph Planar Graph Perfect Match Chromatic Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • John M. Harris
    • 1
  • Jeffry L. Hirst
    • 2
  • Michael J. Mossinghoff
    • 3
  1. 1.Department of MathematicsFurman UniversityGreenvilleUSA
  2. 2.Department of MathematicsAppalachian State UniversityBooneUSA
  3. 3.Department of MathematicsUCLALos AngelesUSA

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