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TitleIntersection theorems and mod p rank of inclusion matrices
Author(s) P. Frankl
TypeArticle in Journal
AbstractHigher incidence matrices have proved an important tool both in design theory and extremal set theory. In the present paper some tight bounds on the rank over finite fields of some inclusion matrices are derived. In particular, a short proof of Wilson's mod p rank formula is given. A problem of Graham, Li, and Li concerning bases for so-called null t-designs is solved as well.
ISSN0097-3165
URL dx.doi.org/10.1016/0097-3165(90)90007-J
LanguageEnglish
JournalJournal of Combinatorial Theory Series A
Volume54
Number1
Pages85-94
PublisherAcademic Press, Inc.
AddressOrlando, FL, USA
Year1990
Translation No
Refereed No
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