{"id":"W2782679454","doi":"10.1016/j.disc.2018.05.014","title":"On the roots of Wiener polynomials of graphs","year":2018,"lang":"en","type":"preprint","venue":"Discrete Mathematics","topic":"Graph theory and applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Winnipeg; Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Wiener index; Closure (psychology); Order (exchange); Polynomial; Graph; Discrete mathematics; Mathematical analysis","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":[0.001180271,0.0003655409,0.0008053939,0.0001575479,0.0000981027,0.00002486252,0.0009963961,0.0002765199,0.0002922395],"category_scores_gemma":[0.0008721959,0.0002303299,0.0004981754,0.0002257321,0.0005610754,0.00002427614,0.0004756941,0.000357237,0.00002639945],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001512798,"about_ca_system_score_gemma":0.00005942439,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000654354,"about_ca_topic_score_gemma":0.000004267036,"domain_scores_codex":[0.9978288,0.0001440463,0.001036051,0.0003104086,0.0004461773,0.0002345396],"domain_scores_gemma":[0.9942436,0.002028007,0.001400679,0.002063132,0.0002067744,0.0000577813],"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":[0.00001340279,0.000274051,0.0000109595,0.001055338,0.0001878413,2.724049e-7,0.001341645,0.0000123114,0.001183371,0.992283,0.003604492,0.00003331151],"study_design_scores_gemma":[0.0001180506,0.00005753407,0.00003429341,0.0008341239,0.0002351969,0.000001530352,0.0003710392,0.0002734351,0.02178203,0.9760084,0.00006854127,0.000215828],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9674063,0.00005814838,0.005182041,0.0003439488,0.0001821632,0.001254932,0.0004384227,0.00006779064,0.02506624],"genre_scores_gemma":[0.9833184,0.00002241198,0.01590017,0.00004276975,0.00005887482,0.0001668972,0.00002221583,0.00007140091,0.0003967925],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02466945,"threshold_uncertainty_score":0.9392579,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05401071563895392,"score_gpt":0.3243274557012122,"score_spread":0.2703167400622583,"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."}}