2023
DOI: 10.48550/arxiv.2302.01748
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Chaining of Maximal Exact Matches in Graphs

Abstract: We study the problem of finding maximal exact matches (MEMs) between a query string Q and a labeled directed acyclic graph (DAG) G = (V, E, ℓ) and subsequently co-linearly chaining these matches. We show that it suffices to compute MEMs between node labels and Q (node MEMs) to encode full MEMs. Node MEMs can be computed in linear time and we show how to co-linearly chain them to solve the Longest Common Subsequence (LCS) problem between Q and G. Our chaining algorithm is the first to consider a symmetric formu… Show more

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Cited by 2 publications
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“…An optimized version of their algorithm requires O(KN log KN ) time for chaining, where K is the width of the DAG [30]. This formulation has been further extended to incorporate gap cost in the scoring function [5], and for solving the longest common subsequence problem between a DAG and a sequence [44]. However, there is limited work on formulating and solving the co-linear chaining problem for general pangenome graphs which might contain cycles.…”
Section: Related Workmentioning
confidence: 99%
“…An optimized version of their algorithm requires O(KN log KN ) time for chaining, where K is the width of the DAG [30]. This formulation has been further extended to incorporate gap cost in the scoring function [5], and for solving the longest common subsequence problem between a DAG and a sequence [44]. However, there is limited work on formulating and solving the co-linear chaining problem for general pangenome graphs which might contain cycles.…”
Section: Related Workmentioning
confidence: 99%