Abstract

In this study, graph burning, a deterministic discrete time graph process that can be interpreted as a model for spreading influence in social networks, is considered. The minimum number of steps in a graph-burning process is called the burning number of that graph. Intrinsically, the burning number of the Jahangir graph was examined, and then the path forests whose vertices are already burned were studied. As a result, the burning numbers of cycles with a single chord and theta graphs were obtained.

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