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» On the Number of Birch Partitions
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FCS
2006
13 years 7 months ago
On Induced Matching Partitions of Certain Interconnection Networks
Paul Manuel, Indra Rajasingh, Bharati Rajan, Alber...
COMBINATORICS
2000
87views more  COMBINATORICS 2000»
13 years 5 months ago
Symmetric Sum-Free Partitions and Lower Bounds for Schur Numbers
We give new lower bounds for the Schur numbers S(6) and S(7). This will imply new lower bounds for the Multicolor Ramsey Numbers R6(3) and R7(3). We also make several observations...
Harold Fredricksen, Melvin M. Sweet
ARSCOM
2008
118views more  ARSCOM 2008»
13 years 5 months ago
Proper Partitions of a Polygon and k-Catalan Numbers
Let P be a polygon whose vertices have been colored (labeled) cyclically with the numbers 1, 2, . . . , c. Motivated by conjectures of Propp, we are led to consider partitions of ...
Bruce E. Sagan
EJC
2007
13 years 5 months ago
On the number of Tverberg partitions in the prime power case
We give an extension of the lower bound of [9] for the number of Tverberg partitions from the prime to the prime power case. Our proof is inspired by the Zp-index version of the p...
Stephan Hell
DAM
2007
81views more  DAM 2007»
13 years 5 months ago
Graphs, partitions and Fibonacci numbers
The Fibonacci number of a graph is the number of independent vertex subsets. In this paper, we investigate trees with large Fibonacci number. In particular, we show that all trees...
Arnold Knopfmacher, Robert F. Tichy, Stephan Wagne...