Yuqi Liu

An investigation into properties of the Closeness Centrality of a graph

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.

Yuqi Liu

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.

You may be interested in

Liam Wood-Baker

Properties of Random Walks and their applications to Mathematical Physics

Elizabeth Rose

Incorporating Spatio-Temporal Convection Effects in Classical Snowball Earth Models

Chun Hei Lee

Categories of directed and undirected graphs

Ben Cicchini

Investigating the Ecological Diversity-Stability Debate using Differential Equation Models and Statistical Sampling Techniques