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Titlebook: LATIN 2024: Theoretical Informatics; 16th Latin American José A. Soto,Andreas Wiese Conference proceedings 2024 The Editor(s) (if applicab

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Decoding Tree Decompositions from Permutationsd denoting by . the family of chordal graphs (triangulations) . such that . and ., the treewidth of a graph . can be defined alternatively as the size of the smallest maximum clique of a graph in ., minus one. In addition, any tree decomposition . of a graph . is also a tree decomposition of .. In t
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Enumerating ,-Length Walks in Directed Graphs with Constant Delayse constant delay between outputting succinct representations of such walks, after a preprocessing step requiring linear time relative to the size of the graph. We apply these results to the problem of enumerating succinct representations of the strings of a given length from a prefix-closed regular
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Total Domination, Separated-Cluster, CD-Coloring: Algorithms and Hardnessf both domination and coloring in it. Let . be an undirected graph. A proper vertex coloring of . is said to be a ., if each color class has a dominating vertex in .. The minimum integer . for which there exists a . of . using . colors is called the . of ., denoted as .. A set . is said to be a ., i
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Generating Signed Permutations by Twisting Two-Sided Ribbonsanges (Steinhaus-Johnson-Trotter algorithm). In plain changes, the .! permutations of [.] are ordered so that successive permutations differ by swapping a pair of adjacent symbols, and the order is often visualized as a weaving pattern on . ropes. Here we model a signed permutation as . ribbons with
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A BWT-Based Algorithm for Random de Bruijn Sequence Constructionisting algorithms construct a specific dB sequence, or members of a specific class of dB sequences, representing only a tiny fraction of the complete set. The only algorithms capable of generating . dB sequences are based on finding Euler cycles in de Bruijn graphs. Here, we present an algorithm for
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