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Showing 2024 · math.COShow all
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math.CO2024
Differential transcendence and walks on self-similar graphs
Yakob Kahane, Marni Mishna
Symmetrically self-similar graphs are an important type of fractal graph. Their Green functions satisfy order one iterative functional equations. We show when the branching number…
math.CO2024
Guarding isometric subgraphs and Cops and Robber in planar graphs
Sebastián González Hermosillo de la Maza, Bojan Mohar
In the game of Cops and Robbers, one of the most useful results is that an isometric path in a graph can be guarded by one cop. In this paper, we introduce the concept of wide shad…