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Burning number of caterpillars

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鎶ュ憡棰樼洰錛欱urning number of caterpillars
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銆€銆€鎶ュ憡鎽樿錛欸raph burning is a deterministic discrete time graph process that can be interpreted as a model for the spread of influence in social networks. The burning number b(G) of a graph G is the minimum number of steps in a graph burning process for G. Bonato at al. conjectured that b(G)鈮?鈭歯? for any connected graph G of order n. In this paper, we confirm this conjecture for caterpillars. We also determine the burning numbers of caterpillars with at most two stems.
 
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