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» On the combinatorics of Galois numbers
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COMBINATORICS
2002
84views more  COMBINATORICS 2002»
14 years 11 months ago
Compositions of Random Functions on a Finite Set
If we compose sufficiently many random functions on a finite set, then the composite function will be constant. We determine the number of compositions that are needed, on average...
Avinash Dalal, Eric Schmutz
COMBINATORICS
2002
93views more  COMBINATORICS 2002»
14 years 11 months ago
On a Theorem of Erdos, Rubin, and Taylor on Choosability of Complete Bipartite Graphs
Erdos, Rubin, and Taylor found a nice correspondence between the minimum order of a complete bipartite graph that is not r-choosable and the minimum number of edges in an r-unifor...
Alexandr V. Kostochka
COMBINATORICS
1998
99views more  COMBINATORICS 1998»
14 years 11 months ago
On Minimal Words With Given Subword Complexity
We prove that the minimal length of a word Sn having the property that it contains exactly Fm+2 distinct subwords of length m for 1 ≤ m ≤ n is Fn + Fn+2. Here Fn is the nth Fi...
Ming-wei Wang, Jeffrey Shallit
COMBINATORICS
1999
76views more  COMBINATORICS 1999»
14 years 11 months ago
Rhombus Tilings of a Hexagon with Two Triangles Missing on the Symmetry Axis
We compute the number of rhombus tilings of a hexagon with sides n, n, N, n, n, N, where two triangles on the symmetry axis touching in one vertex are removed. The case of the comm...
Theresia Eisenkölbl
COMBINATORICS
1999
77views more  COMBINATORICS 1999»
14 years 11 months ago
A Multiple Integral Evaluation Inspired by the Multi-WZ Method
We give an integral identity which was conjectured and proved by using the continuous version of the multi-WZ method. Submitted: May 25, 1999; Accepted: October 20, 1999. Mathemat...
Akalu Tefera