BINOMIAL COEFFICIENTS AND ZERO-SUM RAMSEY NUMBERS

Authors
CARO Y
Citation
Y. Caro, BINOMIAL COEFFICIENTS AND ZERO-SUM RAMSEY NUMBERS, J COMB TH A, 80(2), 1997, pp. 367-373
Citations number
12
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
JOURNAL OF COMBINATORIAL THEORY SERIES A
ISSN journal
00973165 → ACNP
Volume
80
Issue
2
Year of publication
1997
Pages
367 - 373
Database
ISI
SICI code
0097-3165(1997)80:2<367:BCAZRN>2.0.ZU;2-2
Abstract
A counting argument is developed and divisibility properties of the bi nomial coefficients are combined to prove, among other results, that R (K-n, Z(p)) less than or equal to n + 2p - 2 if n=0, 1 (mod p(2)) R(K- n(k), Z(2)) less than or equal to n + k, where K-n, resp. K-n(k), is t he complete, resp. complete k-uniform, hypergaph and R(K-n, Z(p)), R(K -n(k), Z(2)) are the corresponding zero-sum Ramsey numbers. (C) 1997 A cademic Press.