Bo Ning gave an online talk on the number of triangles and quadrilaterals in a graph with certain conditions on eigenvalues at the Virtual Discrete Math Colloquium

On January 27, 2022, Bo Ning (宁博) from Nankai University, China gave an online talk at the Virtual Discrete Math Colloquium on the number of 3-cycles and 4-cycles in a graph with certain conditions on eigenvalues. The title of his talk was “Substructures and eigenvalues of graphs: Triangles and quadrilaterals“.

Bo Ning (宁博), Substructures and eigenvalues of graphs: Triangles and quadrilaterals

Our talk will mainly focus on the relationship between substructures and eigenvalues of graphs. We will briefly survey recent developments on a conjecture of Bollobás and Nikiforov and a classical result of Nosal on triangles. In particular, we shall present counting results for previous spectral theorems on triangles and quadrilaterals. If time allows, we will give a sketch for the proof of one new counting result on triangles.

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