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A New Branch of Graph Theory

A New Branch of Graph Theory . Robbie Weber Joint work with John Thickstun. Classical Graph Theory. Spectral Graph Theory. DEEP. GRAPH THEORY. What is Deep Graph Theory? . Takes graph theory statements out of context, and examines their philosophical implications.

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A New Branch of Graph Theory

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  1. A New Branch of Graph Theory Robbie Weber Joint work with John Thickstun

  2. Classical Graph Theory Spectral Graph Theory

  3. DEEP GRAPH THEORY

  4. What is Deep Graph Theory? • Takes graph theory statements out of context, and examines their philosophical implications.

  5. Example: Trees and Forests • Forest: an undirected, acyclic graph. • Tree: an undirected, acyclic, connected graph.

  6. Is It a Tree?

  7. Is It a Forest?

  8. Example: Trees and Forests • Forest: an undirected, acyclic graph. • Tree: an undirected, acyclic, connected graph.

  9. Every tree is a forest!

  10. Example: Trees and Forests • Forest: an undirected, acyclic graph. • Tree: an undirected, acyclic, connected graph. • We usually think of forests as a bunch of trees • That’s wrong! A single tree, on its own, is a forest.

  11. EVERY TREE IS A FOREST.

  12. Future work • Converting caterpillar graphs into butterfly graphs. • Using the Petersen graph to predict Coach Petersen’s success leading Washington football. • Think of more graph theory jokes non-theorists can understand.

  13. EVERY TREE IS A FOREST.

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