The project will focus on uncovering three types of graph properties: 1. Find new
expressions for the closeness centrality of a connected graph with respect to specific
infinite families of graphs; 2. Find new general bounds on the closeness centrality of a
connected graph; 3. Determine how closeness centrality changes under graph operations
on the given graph G.
The University of New South Wales
Yuqi Liu is a 4th-year undergraduate student currently studying Finance and Mathematics at the University of New South Wales. She is an avid learner and an enthusiastic problem solver who always ready to take a deep dive into the mathematics world. Her research interest is graph theory, combinatorics, and discrete mathematics, particularly in the closeness centrality of a graph.