In this paper, we introduce the concept of the fine triangle intersection problem for a pair of G-designs, and we consider this problem for kite systems. Let Fin(v) = f(s, t) : there exists a pair of kite systems of order a intersecting in s blocks and t + s triangles}. Let Adm(v) =[(s, t): s + t <= b(v), s not equal b(v) - 1, s, t are non-negative integers}, where b(v) = v(v - 1)/8. We establish that , for any positive integer v= 0, 1 (mod 8) and v >= 8, Fin(v) = Adm(v). (C) 2011 Elsevier B.V. All rights reserved.

The fine triangle intersection problem for kite systems

LO FARO, Giovanni;TRIPODI, Antoinette
2012-01-01

Abstract

In this paper, we introduce the concept of the fine triangle intersection problem for a pair of G-designs, and we consider this problem for kite systems. Let Fin(v) = f(s, t) : there exists a pair of kite systems of order a intersecting in s blocks and t + s triangles}. Let Adm(v) =[(s, t): s + t <= b(v), s not equal b(v) - 1, s, t are non-negative integers}, where b(v) = v(v - 1)/8. We establish that , for any positive integer v= 0, 1 (mod 8) and v >= 8, Fin(v) = Adm(v). (C) 2011 Elsevier B.V. All rights reserved.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/1938583
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 22
  • ???jsp.display-item.citation.isi??? 14
social impact