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» On the combinatorics of Galois numbers
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COMBINATORICS
2006
114views more  COMBINATORICS 2006»
14 years 11 months ago
The Maximum Distinguishing Number of a Group
Let G be a group acting faithfully on a set X. The distinguishing number of the action of G on X, denoted DG(X), is the smallest number of colors such that there exists a coloring...
Melody Chan
COMBINATORICS
2007
121views more  COMBINATORICS 2007»
14 years 11 months ago
A Bound for Size Ramsey Numbers of Multi-partite Graphs
It is shown that the (diagonal) size Ramsey numbers of complete m-partite graphs Km(n) can be bounded from below by cn22(m−1)n, where c is a positive constant. Key words: Size R...
Yuqin Sun, Yusheng Li
COMBINATORICS
2007
66views more  COMBINATORICS 2007»
14 years 11 months ago
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...
Arvind Ayyer, Doron Zeilberger
COMBINATORICS
2007
64views more  COMBINATORICS 2007»
14 years 11 months ago
Arranging Numbers on Circles to Reach Maximum Total Variations
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
Ying-Jie Liao, Min-Zheng Shieh, Shi-Chun Tsai
COMBINATORICS
2000
100views more  COMBINATORICS 2000»
14 years 11 months ago
Separability Number and Schurity Number of Coherent Configurations
To each coherent configuration (scheme) C and positive integer m we associate a natural scheme C(m) on the m-fold Cartesian product of the point set of C having the same automorph...
Sergei Evdokimov, Ilia N. Ponomarenko