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Graph Theory

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Combinatorics and Graph Theory

Abstract

The Pregolya River passes through a city once known as Königsberg. In the 1700s seven bridges were situated across this river in a manner similar to what you see in Figure 1.1. The city’s residents enjoyed strolling on these bridges, but, as hard as they tried, no resident of the city was ever able to walk a route that crossed each of these bridges exactly once.

“Begin at the beginning,” the King said, gravely, “and go on till you come to the end; then stop.”

– Lewis Carroll, Alice in Wonderland

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Correspondence to John M. Harris .

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Harris, J.M., Hirst, J.L., Mossinghoff, M.J. (2008). Graph Theory. In: Combinatorics and Graph Theory. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-79711-3_1

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