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math.AT2024
Homology of graph burnings
Yuri Muranov, Anna Muranova
In this paper we study graph burnings using methods of algebraic topology. We prove that the time function of a burning is a graph map to a path graph. Afterwards, we define a cate…
math.CO2024★ 2 cited
Recurrence and transience for non-Archimedean and directed graphs
Matthias Keller, Anna Muranova
We introduce the notion of recurrence and transience for graphs over non-Archimedean ordered field. To do so we relate these graphs to random walks of directed graphs over the real…