Titlebook: Combinatorial Algorithms; 26th International W Zsuzsanna Lipták,William F. Smyth Conference proceedings 2016 Springer International Publish

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A New View on the Uncertainty Principle,robots operate in asynchronous cycles. In one cycle, a robot takes a snapshot of the current configuration (Look), decides whether to stay idle or to move to one of its neighbors (Compute), and in the latter case makes the computed move (Move). Cycles are performed asynchronously for each robot. The

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M. Stefan,S. V. Nistor,D. Ghicaivated vertices or if at some point it had at least . active neighbors, for a threshold . that is identical for all vertices. A contagious set is a vertex set whose activation results with the entire graph being active. Let .(., .) be the size of a smallest contagious set in a graph .. We examine de

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https://doi.org/10.1007/978-3-662-44479-5arising from model validation in the study of phylogenetic networks. It asks to determine whether or not a given network displays a given phylogenetic tree over the same leaf set. It is known to be .-complete in general. Whether or not it remains .-complete for stable networks is an open problem. We

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M. Stefan,S. V. Nistor,D. Ghicais the minimum number of colors needed to make . rainbow connected. Along with its variants, which consider vertex colorings and/or so-called strong colorings, the rainbow connection number has been studied from both the algorithmic and graph-theoretic points of view..In this paper we present a rang

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About Ungatherability of Oblivious and Asynchronous Robots on Anonymous Rings,ven and nine nodes. We present an exhaustive proof about the impossibility of designing a strategy that solves the gathering in the considered setting. The proof makes use of both theoretical and computer-assisted approaches. Despite the specific cases considered, the relevance of the provided proof

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On the Complexity of Rainbow Coloring Problems,nbow coloring by saving a fixed number of colors from a trivial upper bound. Finally, we give a linear-time algorithm for computing the exact rainbow connection numbers for three variants of the problem on graphs of bounded vertex cover number.