Celer: an Efficient Program for Genotype Elimination
Nicoletta De Francesco (Universit\`a di Pisa), Giuseppe Lettieri, (Universit\`a di Pisa), Luca Martini (Universit\`a di Pisa)

TL;DR
Celer is an optimized program designed to efficiently identify and eliminate genotypes that violate Mendelian inheritance laws in pedigrees, streamlining linkage analysis in genetic research.
Contribution
The paper introduces a formally defined, optimized algorithm and data structures for Mendelian consistency checking, improving performance over existing tools.
Findings
Significant speed improvements over previous programs
Effective handling of incomplete and erroneous pedigree data
Validated on diverse benchmark datasets
Abstract
This paper presents an efficient program for checking Mendelian consistency in a pedigree. Since pedigrees may contain incomplete and/or erroneous information, geneticists need to pre-process them before performing linkage analysis. Removing superfluous genotypes that do not respect the Mendelian inheritance laws can speed up the linkage analysis. We have described in a formal way the Mendelian consistency problem and algorithms known in literature. The formalization helped to polish the algorithms and to find efficient data structures. The performance of the tool has been tested on a wide range of benchmarks. The results are promising if compared to other programs that treat Mendelian consistency.
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