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DCG
2010
71views more  DCG 2010»
13 years 7 months ago
Convex Hulls of Orbits and Orientations of a Moving Protein Domain
We study the facial structure and Carath
Marco Longinetti, Luca Sgheri, Frank Sottile
DCG
2010
118views more  DCG 2010»
13 years 7 months ago
Recurrence Relationships for the Mean Number of Faces and Vertices for Random Convex Hulls
: This paper studies the convex hull of n random points in Rd. A recently-proved topological identity of the author is used in combination with identities of Efron and Buchta to fi...
Richard Cowan
DCG
2010
57views more  DCG 2010»
13 years 7 months ago
Iterated Point-Line Configurations Grow Doubly-Exponentially
Begin with a set of four points in the real plane in general position. Add to this collection the intersection of all lines through pairs of these points. Iterate. Ismailescu and ...
Joshua Cooper, Mark Walters
DCG
2010
101views more  DCG 2010»
13 years 7 months ago
Obstacle Numbers of Graphs
es of Statistics (2); Calculus 2; Multivariable Calculus; Abstract Algebra 1 (2) Research with undergraduate students:
Hannah Alpert, Christina Koch, Joshua D. Laison
DCG
2010
101views more  DCG 2010»
13 years 6 months ago
Unknot Diagrams Requiring a Quadratic Number of Reidemeister Moves to Untangle
Given any knot diagram E, we present a sequence of knot diagrams of the same knot type, for which the minimum number of Reidemeister moves required to pass to E is quadratic with ...
Joel Hass, Tahl Nowik