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COMBINATORICS
2004
15 years 3 months ago
2004
Erdos posed the problem of how many random subsets need to be chosen from a set of n elements, each element appearing in each subset with probability p = 1/2, in order that at lea...
121
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COMBINATORICS
2004
15 years 3 months ago
2004
New conjectures are proposed on the numbers of FPL configurations pertaining to certain types of link patterns. Making use of the Razumov and Stroganov Ansatz, these conjectures a...
129
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COMBINATORICS
2000
15 years 3 months ago
2000
We construct examples of nonnegative harmonic functions on certain graded graphs: the Young lattice and its generalizations. Such functions first emerged in harmonic analysis on th...
COMBINATORICS
2000
15 years 3 months ago
2000
We consider the problem of determining when two delta-matroids on the same ground-set have a common base. Our approach is to adapt the theory of matchings in 2-polymatroids develo...
109
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COMBINATORICS
2000
15 years 3 months ago
2000
Recently Zagier proved a remarkable q-series identity. We show that this identity can also be proved by modifying Franklin's classical proof of Euler's pentagonal number...