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math.AT2026
Burnings of trees and their homologies
Yuri Muranov, Anna Muranova
The problem of graph burning was firstly introduced as a model for different processes of social and network interactions. Recently, the authors of the present paper developed meth…
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…