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cs.DC2025
Vertex addition to a ball graph with application to reliability and area coverage in autonomous swarms
Calum Buchanan, Puck Rombach, James Bagrow +1
A unit ball graph consists of a set of vertices, labeled by points in Euclidean space, and edges joining all pairs of points within distance 1. These geometric graphs are used to m…
math.CO2025
The Saturation Spectrum of Berge Stars
Neal Bushaw, Sean English, Emily Heath +2
The forbidden subgraph problem is among the oldest in extremal combinatorics -- how many edges can an -vertex -free graph have? The answer to this question is the well-studie…