{"id":"W2113228236","doi":"10.37236/897","title":"A Note on Polynomials and $f$-Factors of Graphs","year":2008,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Graph theory and applications","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Combinatorics; Mathematics; Conjecture; Graph","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000723357,0.0001028882,0.0002578103,0.0001047353,0.0001493767,0.000005005279,0.0002580271,0.00004711527,0.000006099173],"category_scores_gemma":[0.0001768204,0.00006405486,0.000120512,0.0002585494,0.0001324483,0.00004891605,0.0000192051,0.0003832041,8.429868e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004389488,"about_ca_system_score_gemma":0.0001273909,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001985702,"about_ca_topic_score_gemma":8.830875e-7,"domain_scores_codex":[0.9990456,0.0001021802,0.0003527134,0.00005975537,0.0002192971,0.0002204719],"domain_scores_gemma":[0.9983519,0.0008298519,0.0004551136,0.0002104306,0.000104269,0.00004844588],"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":[0.00004411788,0.0001584958,0.000343702,0.000007806488,0.00005091258,0.000001108075,0.0005879682,0.000002033749,0.0009570811,0.997564,0.0002318954,0.00005086843],"study_design_scores_gemma":[0.0004356248,0.000465049,0.0007725089,0.0000173893,0.0000590157,0.0001087017,0.00008259579,0.000003381965,0.01180588,0.9857165,0.0004717983,0.00006150779],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9979343,0.0005512139,0.0005725971,0.0002870749,0.00007339891,0.00009326818,0.000001313643,0.000007354289,0.0004795036],"genre_scores_gemma":[0.9991688,0.0006598532,0.00002186327,0.00002321588,0.00001888843,0.000001336778,1.572624e-7,0.00001224225,0.00009360387],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01184746,"threshold_uncertainty_score":0.2612081,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02559989731209637,"score_gpt":0.2815963136296713,"score_spread":0.2559964163175749,"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."}}