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[CCICADA-announce] DIMACS/CCICADA Interdisciplinary Seminar Series-Tuesday, December 2, 2014

Linda Casals lindac at dimacs.rutgers.edu
Tue Nov 25 10:53:02 EST 2014


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DIMACS/CCICADA Interdisciplinary Seminar Series Presents
               
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Title: Sperner's Lemma and Connection Games

Speaker: David Molnar, Rutgers University

Date: Tuesday, December 2, 2014 12:00 - 1:00pm

Location: DIMACS Center, CoRE Bldg, Room 431, Rutgers University                 
             Busch Campus, Piscataway, NJ

Seminar hosted by James Abello, DIMACS 

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The game of Hex is the most well-known of the great iceberg of
connection games. Hex's cousin The Game of Y is played on a triangular
board, with the goal to connect all three sides. A beautiful proof using
Sperner's Lemma shows that the game cannot end in a draw. From this the
fact that Hex cannot end in a draw follows as a corollary.

In early 2008, Mark Steere published two new connection games, Atoll and
Begird, which generalize Hex and Y, respectively. Atoll has received
some attention through online play and a feature in Games
magazine. Atoll is played on a grid of hexagons surrounded by eight
'islands'; the goal is to connect two opposite islands one one's
color. One way to prove that there must be a winner in a game of Atoll,
Begird, and in fact infinitely many generalizations, uses a generalized
version of Sperner's Lemma. I will discuss this generalization and its
consequences.

DIMACS/CCICADA Interdisciplinary Series Full Calendar
See: http://dimacs.rutgers.edu/Seminars/interseminars14-15.html



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