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» Euler's Partition Theorem
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JCT
2010
113views more  JCT 2010»
13 years 8 months ago
Equations resolving a conjecture of Rado on partition regularity
A linear equation L is called k-regular if every k-coloring of the positive integers contains a monochromatic solution to L. Richard Rado conjectured that for every positive intege...
Boris Alexeev, Jacob Tsimerman
AISC
2010
Springer
14 years 2 months ago
Formal Proof of SCHUR Conjugate Function
Abstract. The main goal of our work is to formally prove the correctness of the key commands of the SCHUR software, an interactive program for calculating with characters of Lie gr...
Franck Butelle, Florent Hivert, Micaela Mayero, Fr...
TIT
2010
61views Education» more  TIT 2010»
13 years 4 months ago
Tunstall code, Khodak variations, and random walks
A variable-to-fixed length encoder partitions the source string into variable-length phrases that belong to a given and fixed dictionary. Tunstall, and independently Khodak, desig...
Michael Drmota, Yuriy A. Reznik, Wojciech Szpankow...
ARSCOM
2007
191views more  ARSCOM 2007»
13 years 10 months ago
Binomial Identities Generated by Counting Spanning Trees
We partition the set of spanning trees contained in the complete graph Kn into spanning trees contained in the complete bipartite graph Ks,t. This relation will show that any prop...
Thomas Dale Porter
COMBINATORICS
1999
113views more  COMBINATORICS 1999»
13 years 9 months ago
Bicoloring Steiner Triple Systems
A Steiner triple system has a bicoloring with m color classes if the points are partitioned into m subsets and the three points in every block are contained in exactly two of the ...
Charles J. Colbourn, Jeffrey H. Dinitz, Alexander ...