{"id":"W1883961587","doi":"10.1002/jgt.21889","title":"On the Roots of σ‐Polynomials","year":2015,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Chromatic scale; Chromatic polynomial; Vertex (graph theory); Conjecture; Graph; Discrete mathematics; Order (exchange)","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":[0.003552482,0.0001194811,0.0003825483,0.0001391189,0.00003587551,0.00001155678,0.0004328165,0.00005876681,0.00004020198],"category_scores_gemma":[0.006115759,0.00006693428,0.0002070672,0.0001788831,0.000120937,0.00009173939,0.00004301783,0.0002516127,0.000008045556],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003826722,"about_ca_system_score_gemma":0.0000789701,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.516534e-7,"about_ca_topic_score_gemma":2.442282e-7,"domain_scores_codex":[0.9983789,0.0003137731,0.0006405557,0.0000576398,0.0004762362,0.0001329174],"domain_scores_gemma":[0.9945821,0.003572878,0.001054138,0.0003567612,0.0003400648,0.0000941305],"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":[0.0002024008,0.0001704408,0.00001098703,0.00002304189,0.00007935055,0.000007097383,0.0005983916,0.0000200934,0.0007538307,0.991623,0.006230874,0.0002804876],"study_design_scores_gemma":[0.0005879588,0.0003558772,0.00001295177,0.0001377949,0.00005966734,0.00003845059,0.0007017408,0.000003751711,0.007276576,0.9904971,0.0002602068,0.00006793438],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9715421,0.00032145,0.01484195,0.0004632746,0.001461533,0.0002129801,0.000003195153,0.00001881765,0.01113474],"genre_scores_gemma":[0.9950196,0.00001143468,0.004521641,0.00007883026,0.0001668013,0.00000180984,4.661364e-8,0.00002488577,0.0001749334],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02347756,"threshold_uncertainty_score":0.7321576,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07292441389734901,"score_gpt":0.3283436143423455,"score_spread":0.2554192004449965,"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."}}