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A note on projective norm graphs

The projective norm graphs P(q, 4) introduced by Alon, Rónyai and Szabó are explicit examples of extremal graphs not containing K_4,7. Ball and Pepe showed that P(q, 4) does not contain a copy of K_5,5 either for q >= 7, asymptotically improving the best lower bound for ex(n, K_5,5). We show that these results can not be improved, in the sense that P(q, 4) contains a copy of K_4,6 for infinitely many primes q.

preprint2016arXivOpen access
Codrut Grosu
math.COmath.NT
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