{"id":"W1829221457","doi":"10.37236/214","title":"Perfect Matchings for the Three-Term Gale-Robinson Sequences","year":2009,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Interpretation (philosophy); Conjecture; Mathematics; Term (time); Combinatorics; Rational function; Mathematical proof; Integer (computer science); Sequence (biology); Discrete mathematics; Pure mathematics; Computer science","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009759496,0.0003663696,0.000493525,0.001361966,0.001300324,0.002085471,0.0006762481,0.0009967416,0.008884144],"category_scores_gemma":[0.006401782,0.0003046493,0.0006710137,0.001182612,0.002007979,0.00358877,0.001610845,0.001223587,0.001888488],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001397318,"about_ca_system_score_gemma":0.0006485321,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00104268,"about_ca_topic_score_gemma":0.0009478958,"domain_scores_codex":[0.9991968,0.0001405924,0.00005011738,0.0001728167,0.0002457488,0.0001939424],"domain_scores_gemma":[0.9987988,0.0004971754,0.000240672,0.0001506081,0.0001739524,0.0001387314],"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":[0.00003887408,0.000009891654,0.0002263841,0.00003985185,0.000003359681,0.00008350539,0.0002098951,0.0009996741,0.001348549,0.9872305,0.0006595969,0.009149904],"study_design_scores_gemma":[0.00002009795,0.00003090097,0.0003951258,0.00003267138,0.00001014215,0.0002596039,0.0001317403,0.004567393,0.00138806,0.9823384,0.01080425,0.00002152991],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5440071,0.003504735,0.2918589,0.002637425,0.000389882,0.0001901409,0.0006476155,0.0007375553,0.1560267],"genre_scores_gemma":[0.9526939,0.0008411699,0.03040683,0.0003186981,0.0001507187,0.00008019731,0.0002064133,0.00006926507,0.01523278],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008884144,"threshold_uncertainty_score":0.02972037,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02596252223305646,"score_gpt":0.3125430935161118,"score_spread":0.2865805712830554,"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."}}