Speaker: Suil Oh (SUNY Korea)
Title: Lower bounds for the spectral radius in tP_3- or K_{r+1}-saturated graphs
Abstract: For a given graph H, a graph G is H-saturated if G does not contain H as a subgraph but for any edge e in the complement of G, G+e contains H as a subgraph; the spectral saturation number of H, written sat_{\rho}(n,H), is the minimum spectral radius in an n-vertex H-saturated graph. In this talk, we will talk about sat_{\rho}(n,tP_3) and sat_{\rho}(n,K_{r+1}). Furthermore, some open questions will be provided.
This is partly joint work with Jiangdong Ai, Jaehoon Kim, Seog-Jin Kim, Alexandr V. Kostochka, Pei Liu, Yongtang Shi, Wenqian Zhang, and Junxue Zhang.