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On Set Systems with Restricted K-wise L-intersection Modulo a Prime Number

2018-11-23 16:00

报告人: 张慧慧【洛阳师范学院】

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时间: 2018-11-23 16:00-17:00

地点: 卫津路校区6号楼111教室

开始时间: 2018-11-23 16:00-17:00

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报告人简介

洛阳师范学院博士

报告内容介绍

In this paper, we derive the following bound on the size of a k-wise L-intersecting family (resp. cross-L-intersecting families) modulo a prime number. This result may be considered as a modular version of Theorem 1.10 in [J.Q. Liu, S.G. Zhang, S.C. Li, H.H. Zhang, European J. Combin. 58 (2016) 166-180]. We also report a theorem which extends the well-known Alon-Babai-Suzuki theorem to two cross L-intersecting families. This is joint work with Professor Shuchao Li.

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