Papers › Burning graphs through farthest-first traversal
Burning graphs through farthest-first traversal
Jesús García Díaz, Julio César Pérez Sansalvador, Lil María Xibai Rodríguez Henríquez, José Alejandro Cornejo Acosta
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The graph burning problem is an NP-hard combinatorial optimization problem that helps quantify the vulnerability of a graph to contagion. This paper introduces a simple farthest-first traversal-based approximation algorithm for this problem over general graphs. We refer to this proposal as the Burning Farthest-First (BFF) algorithm. BFF runs in O(n³) steps and has an approximation factor of 3-2/b(G), where b(G) is the size of an optimal solution. Despite its simplicity, BFF tends to generate near-optimal solutions when tested over some benchmark datasets; in fact, it returns similar solutions to those returned by much more elaborated heuristics from the literature.
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