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math.CO2025
Cops and Robbers on Graphs with Path Constraints
Alexander Clow, Erin Meger
In 2019, Sivaraman conjectured that every -free graph has cop number at most . In the same year, Liu proved this conjecture for -free graphs. Recently…
math.CO2025
Zero Forcing on Iterated Graph Models
Christopher Brice, Erin Meger, Nhat-Dinh Nguyen +2
Modeling how information travels throughout a network has vast applications across social sciences, cybersecurity, and graph-based neural networks. In this paper, we consider the z…