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Introducing: Brian Katz, a Ph.D. student in the Department of Mathematics here at UT.
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Brian started us off with a rendition of the "Bridges of Konigsberg" puzzle for the modern era - complete with a wager for a Venti Raspberry Mocha Cappucino.
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He then posed his own "Paperperson Puzzle." Is it possible for a paperperson to traverse each street in this diagram exactly once, and return to her starting position?
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We made (and then proved!) a conjecture stating precisely which graphs have Euler circuits.
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At several points in the talk, Brian posed challenge problems for the students to work on...
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and several math grad students, such as Brandy Guntel (pictured above), hung around to discuss them with our students.
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A group of students walks Cody through their solution to one of Brian's problems.
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Once again, former SMMG coordinator Adriana Salerno came and joined the fun.
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Approximately 40 students and adults showed up - at the beginning of Spring Break, no less! - to explore graph theory with Brian.
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Tapasvini showed us her version of the 1-skeleton of a cube. (Look, ma - no crossings!)