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JCT
1998
57views more  JCT 1998»
13 years 5 months ago
The Veronese Surface in PG(5, 3) and Witt's 5-(12, 6, 1) Design
A conic of the Veronese surface in PG(5, 3) is a quadrangle. If one such quadrangle is replaced with its diagonal triangle, then one obtains a point model K for Witt’s 5–(12, ...
Hans Havlicek
JCT
1998
76views more  JCT 1998»
13 years 5 months ago
Progressions in Sequences of Nearly Consecutive Integers
For k > 2 and r ≥ 2, let G(k, r) denote the smallest positive integer g such that every increasing sequence of g integers {a1, a2, . . . , ag} with gaps aj+1 − aj ∈ {1, ....
Noga Alon, Ayal Zaks
JCT
1998
99views more  JCT 1998»
13 years 5 months ago
From Hall's Matching Theorem to Optimal Routing on Hypercubes
We introduce a concept of so-called disjoint ordering for any collection of finite sets. It can be viewed as a generalization of a system of distinctive representatives for the s...
Shuhong Gao, Beth Novick, Ke Qiu
JCT
1998
68views more  JCT 1998»
13 years 5 months ago
Rook Theory and t-Cores
If t is a positive integer, then a partition of a non-negative integer n is a t−core if none of the hook numbers of the associated Ferrers-Young diagram is a multiple of t. These...
James Haglund, Ken Ono, Lawrence Sze
JCT
1998
100views more  JCT 1998»
13 years 5 months ago
2-Partition-Transitive Tournaments
Given a tournament score sequence s1 ≥ s2 ≥ · · · ≥ sn, we prove that there exists a tournament T on vertex set {1, 2, . . . , n} such that the degree of any vertex i is ...
Barry Guiduli, András Gyárfás...