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» Extension of a theorem of Whitney
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CCCG
2004
13 years 9 months ago
On corners of objects built from parallelepiped bricks
We investigate a question initiated in the work of Sibley and Wagon, who proved that 3 colors suffice to color any collection of 2D parallelograms glued edge-to-edge. Their proof ...
Mirela Damian, Joseph O'Rourke
COMGEO
2010
ACM
13 years 8 months ago
Centerpoints and Tverberg's technique
Using a technique that Tverberg and Vrecica [TV93] discovered to give a surprisingly simple proof of Tverberg's theorem, we show the following extension of the centerpoint th...
Abdul Basit, Nabil H. Mustafa, Saurabh Ray, Sarfra...
COMBINATORICS
2004
94views more  COMBINATORICS 2004»
13 years 7 months ago
Bijections and Congruences for Generalizations of Partition Identities of Euler and Guy
In 1958, Richard Guy proved that the number of partitions of n into odd parts greater than one equals the number of partitions of n into distinct parts with no powers of 2 allowed...
James A. Sellers, Andrew V. Sills, Gary L. Mullen
LPAR
2010
Springer
13 years 6 months ago
Polite Theories Revisited
The classic method of Nelson and Oppen for combining decision procedures requires the theories to be stably-infinite. Unfortunately, some important theories do not fall into this...
Dejan Jovanovic, Clark Barrett
JCT
2011
101views more  JCT 2011»
13 years 2 months ago
Almost all triple systems with independent neighborhoods are semi-bipartite
The neighborhood of a pair of vertices u, v in a triple system is the set of vertices w such that uvw is an edge. A triple system H is semi-bipartite if its vertex set contains a ...
József Balogh, Dhruv Mubayi