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arXiv · 1609.05675

General bounds on limited broadcast domination

José Cáceres·Carmen Hernando·Mercè Mora·Ignacio M. Pelayo·María Luz Puertas
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Abstract

Dominating broadcasting is a domination-type structure that models a transmission antenna network. In this paper, we study a limited version of this structure, that was proposed as a common framework for both broadcast and classical domination. In this limited version, the broadcast function is upper bounded by an integer $k$ and the minimum cost of such function is the dominating $k$-broadcast number. Our main result is a unified upper bound on this parameter for any value of $k$ in general graphs, in terms of both $k$ and the order of the graph. We also study the computational complexity of the associated decision problem.

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José Cáceres, Carmen Hernando, Mercè Mora, Ignacio M. Pelayo, María Luz Puertas. 2016-09-19. General bounds on limited broadcast domination. https://doi.org/10.23638/dmtcs-20-2-13

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