{"id":"W7104378041","doi":"10.55016/ojs/cdm.v20i1.75051","title":"On the Directed Hamilton-Waterloo Problem with Two Cycle Sizes","year":2025,"lang":"","type":"article","venue":"Contributions to Discrete Mathematics","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Digraph; Directed graph; Directed acyclic graph; Optimization problem; Feedback arc set","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001661616,0.001371409,0.001217912,0.001011516,0.002173515,0.002461563,0.001857283,0.002499106,0.01740451],"category_scores_gemma":[0.01074591,0.000765075,0.0009581723,0.001700009,0.002550118,0.007923494,0.002585454,0.002914904,0.001652537],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002371558,"about_ca_system_score_gemma":0.00215502,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00834036,"about_ca_topic_score_gemma":0.008646752,"domain_scores_codex":[0.9983779,0.0005622874,0.00006987889,0.0003487419,0.0002495177,0.0003916019],"domain_scores_gemma":[0.9939916,0.004762128,0.000292079,0.0003034975,0.000313436,0.0003372965],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0004363716,0.0001743639,0.0007037421,0.0003975906,0.00005927122,0.0003312342,0.0003534672,0.06777261,0.001796314,0.8475934,0.03341983,0.04696181],"study_design_scores_gemma":[0.0001418329,0.00006531297,0.0002240728,0.00007049143,0.00002753766,0.0001466984,0.000222528,0.08561531,0.0008540131,0.9032629,0.009326955,0.00004232913],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.210377,0.003469224,0.5628724,0.01180861,0.0008273572,0.0007653744,0.002883184,0.0006341595,0.2063627],"genre_scores_gemma":[0.6990963,0.004590243,0.2280077,0.002494281,0.001110145,0.0007624485,0.004071827,0.0004944848,0.05937248],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01740451,"threshold_uncertainty_score":0.05822384,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005041616138665181,"score_gpt":0.2342231469093046,"score_spread":0.2291815307706394,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}