Research-Turán theorems for even cycles in random hypergraph

Research

Algebra & Combinatorics Seminar

Turán theorems for even cycles in random hypergraph

Speaker: Felix Lazebnik（University of Delaware）
Time: May 23, 2024, 10:00-11:00
Location: M1001, College of Science Building，Tencent Meeting ID: 766 511 815

Abstract

In this talk I will describe the ideas behind 1) a new lower bound on Turan number of 14-cycle, due to A. Terlep and J. Williford;

2) a new proof for the lower bound on the girth of graphs CD(k, q), due to V. Taranchuk; 3) a construction of polynomial graphs with small automorphism group and its corollaries, due to V. Taranchuk and myself. At the end, several related open questions will be mentioned.