In this paper the triangle intersection problem for a pair of disjoint S(2. 4, v)s is investigated. Let J(T)*(v) denote the set of all integers s such that there exists a pair of disjoint S(2, 4, v)s intersecting in s triangles. Let b(v) = v(v - 1)/12. We establish that for any positive integer v equivalent to 1, 4 (mod 12), v >= 16 and v not equal 25,28, 37. J(T)*(v) = [ 0, b(v)]. (C) 2010 Elsevier B.V. All rights reserved.
The triangle intersection numbers of a pair of disjoint S(2, 4, v)s
LO FARO, Giovanni;TRIPODI, Antoinette
2010-01-01
Abstract
In this paper the triangle intersection problem for a pair of disjoint S(2. 4, v)s is investigated. Let J(T)*(v) denote the set of all integers s such that there exists a pair of disjoint S(2, 4, v)s intersecting in s triangles. Let b(v) = v(v - 1)/12. We establish that for any positive integer v equivalent to 1, 4 (mod 12), v >= 16 and v not equal 25,28, 37. J(T)*(v) = [ 0, b(v)]. (C) 2010 Elsevier B.V. All rights reserved.File in questo prodotto:
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