\pdfinfoomitdate=1 \pdftrailerid{} \documentclass[11pt,a4paper]{article} \input{macros} \title{A Parity Theorem for Reverse-Complement-Invariant\\ Minimum Decycling Sets in $q$-ary de Bruijn Graphs} \author{Oleksiy Babanskyy} \date{} \begin{document} \maketitle \input{abstract} \tableofcontents \input{sections/01_introduction} \input{sections/02_normalization_and_prior_work} \input{sections/03_odd_order_obstruction} \input{sections/04_mykkeltveit_seed_and_zero_ties} \input{sections/05_half_plane_coboundary} \input{sections/06_legal_descent_and_even_existence} \input{sections/07_direct_spectral_construction} \input{sections/08_qary_parity_theorem} \input{sections/09_exact_validation_and_reproducibility} \input{sections/10_boundaries_and_outlook} \appendix \input{appendices/A_convention_dictionary} \input{appendices/B_technical_lemmas} \input{appendices/C_finite_validation_tables} \begingroup \footnotesize \bibliographystyle{plain} \bibliography{refs} \endgroup \end{document}