{"id":"W2089589410","doi":"10.1016/j.dam.2012.07.001","title":"Distance edge-colourings and matchings","year":2012,"lang":"en","type":"article","venue":"Discrete Applied Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Combinatorics; Random graph; Upper and lower bounds; Counterexample; Bounded function; Conjecture; Chromatic scale; Matching (statistics); Discrete mathematics; Edge coloring; Graph; Line graph; Statistics; Graph power","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":[0.0005483524,0.0003111891,0.0004163985,0.00006575129,0.0003327286,0.00005709138,0.0002589938,0.0001328278,0.00008471284],"category_scores_gemma":[0.0001234414,0.0002400024,0.00008430571,0.0001217946,0.000202397,0.0001609407,0.0002825187,0.0002381613,0.00002153959],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002775209,"about_ca_system_score_gemma":0.000007433427,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001843224,"about_ca_topic_score_gemma":9.576011e-7,"domain_scores_codex":[0.9984882,0.00001595467,0.0004139466,0.0002359843,0.0003017471,0.0005441114],"domain_scores_gemma":[0.9985875,0.0004401245,0.0002223928,0.0005199967,0.00002497594,0.000205043],"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":[0.00001174086,0.00006882618,0.0002482691,0.0004267298,0.00004367427,9.108802e-7,0.00964825,1.999021e-7,0.0005683349,0.987299,0.0008578359,0.0008262645],"study_design_scores_gemma":[0.0003209572,0.00001280842,0.0003038844,0.00005273979,0.00009298132,0.00002976344,0.001149352,0.00009558077,0.001424987,0.9920059,0.004136293,0.0003747098],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8440434,0.0003549471,0.04226127,0.0001051541,0.0002831537,0.000658094,0.00001422536,0.0003039509,0.1119759],"genre_scores_gemma":[0.8699976,0.00002884116,0.1290324,0.0001424147,0.000167257,0.00005607856,0.000003494314,0.00006997673,0.0005019646],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1114739,"threshold_uncertainty_score":0.9787015,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01899417450025701,"score_gpt":0.2721251010885043,"score_spread":0.2531309265882473,"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."}}