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Submitted by amittr on 5 April, 2016 - 10:50

Date/Time:

Tuesday, April 12, 2016 - 11:30

Venue:

M-5

Speaker:

Dr. Kaushik Majumder

Affiliation:

ISI Kolkata

Title:

On uniform maximal intersecting family of finite sets

A maximal intersecting family of $k$-sets (in short $MIF(k)$) is an intersecting family of $k$-sets which can not be embedded properly into a larger intersecting family of $k$-sets. Erd\H{o}s and Lov\'{a}sz proved that up to an isomorphism there exists only
finitely many $MIF(k)$s. So we can define two positive integers $$M(k):= max\{|F|: F \text{ is a MIF}(k)\}$$ $$N(k) := max\{|\cup_{B\in F} B|: F \text{ is a MIF}(k)\}$$ In this talk we shall discuss about these two integers.

**School of Mathematical Sciences**

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