# ZarankiewiczDB,

an online database of Zarankiewicz numbers.

### Matrix for z(5,5 | S_3 ∪ {O})

 $I$ $I$ $I$ $I$ $I$ $\alpha$ $\alpha^2$ $I$ $\alpha$ $I$ $\alpha^2$ $I$ $\alpha^2$ $I$ $\alpha$ $I$ $\alpha^2$ $\alpha$ $I$ $I$

Found by the quotient matrix algorithm. $I$ is the identity, $\alpha$ is a 3-cycle. The $I$ entries form an extremal rectangle-free matrix.

(838.845566686 seconds, score = 60, 9276201 recursive calls, max depth = 13)

weight = 60, submitted by Andrew Kay on April 22nd, 2016 (link, raw)

Related: Matrix 299