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JCT
2006
14 years 9 months ago
2006
Abstract. Using the finite difference calculus and differentiation, we obtain several new identities for Bernoulli and Euler polynomials; some extend Miki's and Matiyasevich&#...
JCT
2006
14 years 9 months ago
2006
In [8] we posed a series of extremal (set system) problems under dimension constraints. In the present paper we study one of them: the intersection problem. The geometrical formul...
JCT
2006
14 years 9 months ago
2006
Thomassen conjectured that every 4-connected line graph is hamiltonian. A vertex cut X of G is essential if G-X has at least two nontrivial components. We prove that every 3-conne...
JCT
2006
14 years 9 months ago
2006
A review is given of several aspects of the work of Basil Gordon. These include: Rogers-Ramanujan identities, plane partitions, the method of weighted words, modular forms and part...
JCT
2006
14 years 9 months ago
2006
Let s = (s1, . . . , sm) and t = (t1, . . . , tn) be vectors of non-negative integervalued functions with equal sum S = m i=1 si = n j=1 tj. Let N(s, t) be the number of m