General bounds on limited broadcast domination
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Limited dominating broadcasts were proposed as a variant of dominating broadcasts, where the broadcast function is upper bounded by a constant k . The minimum cost of such a dominating broadcast is the k -broadcast dominating number. We present a uni ed upper bound on this parameter for any value of k in terms of both k and the order of the graph. For the speci c case of the 2-broadcast dominating number, we show that this bound is tight for graphs as large as desired. We also study the family of caterpillars, providing a smaller upper bound, which is attained by a set of such graphs with unbounded order.
CitacióHernando, M., Mora, M., Pelayo, I. M., Luz Puertas, M., Cáceres, José. "General bounds on limited broadcast domination". 2016.
Versió de l'editorhttp://188.8.131.52/pdf/1609.05675v1.pdf