Details:
Title | Intersection theorems and mod p rank of inclusion matrices | Author(s) | P. Frankl | Type | Article in Journal | Abstract | Higher 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. | ISSN | 0097-3165 |
URL |
dx.doi.org/10.1016/0097-3165(90)90007-J |
Language | English | Journal | Journal of Combinatorial Theory Series A | Volume | 54 | Number | 1 | Pages | 85-94 | Publisher | Academic Press, Inc. | Address | Orlando, FL, USA | Year | 1990 | Translation |
No | Refereed |
No |
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