{"id":"W2790192008","doi":"","title":"The characteristic polynomial of a graph operation and its applications.","year":2018,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Graph; Polynomial; Discrete mathematics; Mathematical analysis","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001730101,0.00006523843,0.00007743792,0.0000360488,0.0002668091,0.00009322721,0.0003238285,0.00002624858,0.00000196499],"category_scores_gemma":[0.00002508825,0.00005001768,0.00001989402,0.0001636303,0.00007610469,0.0001990385,0.0001219069,0.00004429871,0.00002677073],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001042785,"about_ca_system_score_gemma":0.00004048108,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009205505,"about_ca_topic_score_gemma":0.000002552499,"domain_scores_codex":[0.9994161,0.00003639738,0.0001668023,0.000162953,0.0001047041,0.0001130885],"domain_scores_gemma":[0.9994687,0.0001142336,0.00008577364,0.0002056022,0.00008326129,0.00004243763],"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":[0.000006407069,0.0000234792,0.00008205468,0.000004307765,0.000007198932,1.816629e-7,0.000222892,3.973465e-7,0.003718566,0.9622443,0.0002886813,0.03340149],"study_design_scores_gemma":[0.001481313,0.000574997,0.0466624,0.00002790495,0.00002077775,0.0000224747,0.00003231741,0.05643474,0.03618219,0.8447464,0.01340536,0.0004091634],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9826546,0.000295597,0.01379635,0.001089607,0.001249012,0.0003285281,0.000002169492,0.0000688182,0.0005153455],"genre_scores_gemma":[0.9995611,0.00002110204,0.0002500083,0.00006476098,0.00003270547,0.00002815576,0.000001295482,0.00000329335,0.0000375393],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.117498,"threshold_uncertainty_score":0.2052107,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008158187389801013,"score_gpt":0.2294722625676355,"score_spread":0.2213140751778345,"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."}}