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COMBINATORICS
2007
13 years 10 months ago
2007
![The Number of [Old-Time] Basketball Games with Final Score n: n where the Home Team was Never Losing but also Never Ahead by Mor](https://www.sciweavers.org/files/imagecache/thumbnail/default/content.jpg "The Number of [Old-Time] Basketball Games with Final Score n: n where the Home Team was Never Losing but also Never Ahead by Mor")
We show that the generating function (in n) for the number of walks on the square lattice with steps (1, 1), (1, −1), (2, 2) and (2, −2) from (0, 0) to (2n, 0) in the region 0...
COMBINATORICS
2007
13 years 10 months ago
2007
The dartboard problem is to arrange n numbers on a circle to obtain maximum risk, which is the sum of the q-th power of the absolute differences of adjacent
JCT
2006
13 years 10 months ago
2006
We give a new expression for the number of factorizations of a full cycle into an ordered product of permutations of specified cycle types. This is done through purely algebraic me...
JQL
2006
13 years 10 months ago
2006
In a recent work, M. Covington discusses the enumeration of two different sets of alignments of two strings of symbols using elementary combinatorial techniques. He defines two fu...
PAMI
2008
13 years 10 months ago
2008
In this article, we define and address the problem of finding the visual focus of attention for a varying number of wandering people (VFOA-W)