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JCT
2006
54views more  JCT 2006»
14 years 9 months ago
Matroid packing and covering with circuits through an element
Abstract. In 1981, Seymour proved a conjecture of Welsh that, in a connected matroid M, the sum of the maximum number of disjoint circuits and
Manoel Lemos, James G. Oxley
JCT
2006
62views more  JCT 2006»
14 years 9 months ago
On Rota's conjecture and excluded minors containing large projective geometries
We prove that an excluded minor for the class of GF(q)-representable matroids cannot contain a large projective geometry over GF(q) as a minor.
James F. Geelen, Bert Gerards, Geoff Whittle
JCT
2000
90views more  JCT 2000»
14 years 9 months ago
The Spider Poset Is Macaulay
Let Q(k, l) be a poset whose Hasse diagram is a regular spider with k+1 legs having the same length l (cf. Fig. 1). We show that for any n 1 the nth cartesian power of
Sergei L. Bezrukov, Robert Elsässer
JCT
2000
91views more  JCT 2000»
14 years 9 months ago
Averaging Sequences, Deranged Mappings, and a Problem of Lampert and Slater
We answer a question posed by Lampert and Slater [7]. Consider a sequence of real numbers qn in the interval [0, 1] defined by q0 = 0, q1 = 1, and, for n 1, qn+1 equals an averag...
Neil J. Calkin, E. Rodney Canfield, Herbert S. Wil...
JCT
2000
78views more  JCT 2000»
14 years 9 months ago
Discrete Green's Functions
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...
Fan R. K. Chung, S.-T. Yau