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.

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