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JCT
2000
13 years 8 months ago
2000
We study discrete Green's functions and their relationship with discrete Laplace equations. Several methods for deriving Green's functions are discussed. Green's fu...
JCT
2000
13 years 8 months ago
2000
Generalizing the notion of placing rooks on a Ferrers board leads to a new class of combinatorial models and a new class of rook polynomials. Connections are establishedwith absolu...
JCT
2007
13 years 8 months ago
2007
We show that certain modular equations and theta function identities of Ramanujan imply elegant partition identities. Several of the identities are for t-cores. Key Words: partitio...
JCT
2000
13 years 8 months ago
2000
Following ideas of Richer (2000) we introduce the notion of unordered regressive Ramsey numbers or unordered Kanamori-McAloon numbers. We show that these are of Ackermannian growt...
JCT
2010
13 years 7 months ago
2010
A k-orbit map is a map with k flag-orbits under the action of its automorphism group. We give a basic theory of k-orbit maps and classify them up to k 4. “Hurwitz-like” upper...