{"id":"W754424760","doi":"10.1016/j.disc.2015.06.022","title":"Edge coloring multigraphs without small dense subsets","year":2015,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Multigraph; Edge coloring; Combinatorics; Mathematics; Conjecture; Statement (logic); Vertex (graph theory); Chromatic scale; Brooks' theorem; Graph; Enhanced Data Rates for GSM Evolution; Discrete mathematics; 1-planar graph; Computer science; Chordal graph; Line graph; Artificial intelligence","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001041754,0.0004005852,0.0005815763,0.0001583058,0.0002459358,0.00009293286,0.0005341314,0.0001916551,0.00005868373],"category_scores_gemma":[0.001370545,0.0003082765,0.0002251073,0.0002559176,0.0002115829,0.0001253171,0.0002809919,0.0003001808,0.00005091395],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006268811,"about_ca_system_score_gemma":0.00005307302,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009881666,"about_ca_topic_score_gemma":0.00003579031,"domain_scores_codex":[0.9978966,0.0001184515,0.0006210177,0.0003525559,0.0004753814,0.0005360214],"domain_scores_gemma":[0.9977091,0.0005414718,0.0002984053,0.000911348,0.0001957709,0.0003439227],"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":[0.00006806276,0.0002017749,0.003854633,0.0005279759,0.0002056363,0.0000500969,0.0257433,0.00001476732,0.0002695882,0.9643281,0.004212521,0.0005235517],"study_design_scores_gemma":[0.001135609,0.00008723942,0.0001927369,0.000167157,0.0001751345,0.00008677653,0.002722954,0.002560078,0.001899919,0.9886822,0.001708225,0.0005819966],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9586096,0.0001910417,0.01334458,0.00006642509,0.0007226001,0.0006032804,0.00002743474,0.0003681635,0.0260669],"genre_scores_gemma":[0.8509913,0.00001379134,0.1470341,0.00009220808,0.0001767153,0.00004774014,0.000008601906,0.000103991,0.001531503],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1336895,"threshold_uncertainty_score":0.9999369,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09607106585995495,"score_gpt":0.3204364420465868,"score_spread":0.2243653761866319,"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."}}