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JCT
2006
14 years 9 months ago
2006
A review is given of some of the mathematical research of Bruce Rothschild, emphasizing his results in combinatorial theory, especially that part known as Ramsey Theory. Special em...
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JCT
2006
14 years 9 months ago
2006
A Latin square design whose automorphism group is transitive of rank at most 3 on points must come from the multiplication table of an elementary abelian p-group, for some prime p...
JCT
2006
14 years 9 months ago
2006
Graham and Pollak (Bell System Tech. J. 50 (1971) 2495-2519) obtained a beautiful formula on the determinant of distance matrices of trees, which is independent of the structure o...
JCT
2006
14 years 9 months ago
2006
We prove a combinatorial formula conjectured by Loehr and Warrington for the coefficient of the sign character in (pn). Here denotes the Bergeron-Garsia nabla operator, and pn is a...
JCT
2006
14 years 9 months ago
2006
Kuipers and Veldman conjectured that any 3-connected claw-free graph with order and minimum degree +6 10 is Hamiltonian for sufficiently large. In this paper, we prove that if...