Authors
Citation
G. Salazar, On the intersections of systems of curves, J COMB TH B, 75(1), 1999, pp. 56-60
Citations number
2
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF COMBINATORIAL THEORY SERIES B
ISSN journal
00958956
→ ACNP
Volume
75
Issue
1
Year of publication
1999
Pages
56 - 60
Database
ISI
SICI code
0095-8956(199901)75:1<56:OTIOSO>2.0.ZU;2-L
Abstract
We show that the minimum number i(m)(n) of intersections in an n-family of
simple closed curves whose elements pairwise intersect at least once and in
less than m points satisfies the asymptotic behavior lim(n --> infinity) i
(m)(n)/((n)(2)) = 2. (C) 1999 Academic Press.