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JCT
2002
14 years 9 months ago
2002
It is proved that there is a function f : N N such that the following holds. Let G be a graph embedded in a surface of Euler genus g with all faces of even size and with edge-wid...
JCT
2002
14 years 9 months ago
2002
Suppose we toss an independent coin with probability of success p for each subset of [n] = {1, . . . , n}, and form the random hypergraph P(n, p) by taking as hyperedges the subse...
JCT
2002
14 years 9 months ago
2002
We present a result which is obtained by combining a result of Carlson with the Finitary Dual Ramsey Theorem of Graham-Rothschild. We start by introducing some notation. We confor...
JCT
2002
14 years 9 months ago
2002
In [1], the author generalized Ehrhart's idea ([2]) of counting lattice points in dilated rational polytopes: Given a rational polytope, that is, a polytope with rational vert...
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JCT
2002
14 years 9 months ago
2002
This paper presents a systematic approach to the discovery, interpretation and veri cation of various extensions of Hurwitz's multinomial identities, involving polynomials de...