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In this paper we present a correlation between a variation of the list problem coloring in graphs, the (γ, μ)-coloring, and the property of choosability in graphs, resulting in the k-(γ, μ)-choosability. The list coloring problem is a variation of the classical vertex coloring problem, introduced by Erdos et al. in 1979, along with a property very studied in list coloring: the choosability in graphs...
Evolutionary data has been traditionally modeled via phylogenetic trees; however, branching alone cannot model conflicting phylogenetic signals, so networks are used instead. Ancestral recombination graphs (ARGs) are used to model the evolution of incompatible sets of SNP data, allowing each site to mutate only once. The model often aims to minimize the number of recombinations. Similarly, incompatible...
The problem of finding the Constrained Longest Common Subsequence (CLCS) for three sequences is a problem with many applications. In this paper a novel algorithm to compute the CLCS is proposed. The most important features of the proposed algorithm are: i) This algorithm is able to find a set of possible CLCS solutions instead of simply returning the length of the CLCS. ii) The algorithm is based...
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