{"id":"W2963299192","doi":"10.1016/j.disc.2019.04.013","title":"The Hamilton–Waterloo Problem with even cycle lengths","year":2019,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University; University of New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Hamiltonian path; Discrete mathematics; Graph","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000251208,0.0001681081,0.0001821918,0.00002469503,0.00009625885,0.00008751822,0.0002562197,0.00005062453,0.00003302875],"category_scores_gemma":[0.000004051027,0.00009346914,0.00005781983,0.0001096783,0.00004191852,0.00009538827,0.00001896516,0.0001257948,0.0004144562],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001688475,"about_ca_system_score_gemma":0.000005724781,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002981508,"about_ca_topic_score_gemma":0.0000111486,"domain_scores_codex":[0.9991765,0.00002338412,0.0002250225,0.0001133808,0.0001853523,0.000276336],"domain_scores_gemma":[0.9993213,0.0000983228,0.00004430132,0.0004663567,0.00002126544,0.00004844932],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00008656089,0.0001707967,0.002309589,0.00544406,0.001262051,0.00003173481,0.07256512,0.04534359,0.01258182,0.8521362,0.003206465,0.004862024],"study_design_scores_gemma":[0.004284614,0.0008872481,0.001045096,0.002920584,0.0003845138,0.0003672748,0.03854246,0.4593476,0.02556851,0.3435167,0.1193198,0.003815562],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9380366,0.0002117175,0.001960362,0.00004123995,0.0002041278,0.0005888128,0.000009187315,0.0003206079,0.05862731],"genre_scores_gemma":[0.9953853,0.00002117912,0.001252364,0.000009259767,0.00003255269,0.00005008467,0.000004396586,0.00005609006,0.003188796],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5086195,"threshold_uncertainty_score":0.5327135,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.002987695772043366,"score_gpt":0.1719002824280705,"score_spread":0.1689125866560271,"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."}}