Year: 2011
Type: preprint
Abstract: In this paper, we study the problem of finding the largest possible set of s points and s blocks in a Steiner triple system of order v, such that that none of the s points lie on any of the s blocks. We prove that s \leq (2v+5 - \sqrt{24v+25})/2. We also show that equality can be attained in this bound for infinitely many values of v.
Source: arXiv (Cornell University)
Author: Stinson, Douglas R.
Institution: University of Waterloo
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G3624388069
OpenAlex ID: W1784550725