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math.CO2024
On the average squared radius of gyration of a family of embeddings of subdivision graphs
Jason Cantarella, Henrik Schumacher, Clayton Shonkwiler
Suppose we have an embedding of a graph created by subdividing the edges of a simpler graph . The edges of can be divided into subsets which…
math.DG2024
Geometric Approaches to Matrix Normalization and Graph Balancing
Tom Needham, Clayton Shonkwiler
Normal matrices, or matrices which commute with their adjoints, are of fundamental importance in pure and applied mathematics. In this paper, we study a natural functional on the s…