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M*A*T*H Colloquium Spring 2023 Presents: “Book Embeddings of Graphs”

  • Darwin 103 or ZOOM (map)

Featured Speaker: Shannon Overbay, Gonzaga University

In the classical book embedding problem, an n-page book is formed by connecting n half-planes (the pages) together at a common line (the spine) in 3-space. To embed a graph in a book, we place the vertices of the graph on the spine and the edges of the graph on the pages of the book so that no two edges cross each other or the spine. The book thickness of a graph is the smallest n for which the graph admits an n-book embedding. We will examine some classical book embedding results, including edge bounds and characterizations of one and two-page embeddable graphs. We will also look at some new generalizations of books by modifying the pages and show how these relate to various data structures and delivery systems. Bring a pencil and paper to discover some facts about book embeddings for yourself!