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math.CO2022★ 1 cited
A Cosine Rule-Based Discrete Sectional Curvature for Graphs
J. F. Du Plessis, Xerxes D. Arsiwalla
How does one generalize differential geometric constructs such as curvature of a manifold to the discrete world of graphs and other combinatorial structures? This problem carries s…
math.CO2021★ 1 cited
Optimally reconnecting graphs against an edge-destroying adversary
Daniel C. McDonald
We introduce a model involving two adversaries Buster and Fixer taking turns modifying a connected graph, where each round consists of Buster deleting a subset of edges and Fixer r…