{"id":"W4407955310","doi":"10.1016/j.ejc.2025.104139","title":"Injective edge colorings of degenerate graphs and the oriented chromatic number","year":2025,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Chromatic scale; Combinatorics; Injective function; Degenerate energy levels; Enhanced Data Rates for GSM Evolution; Discrete mathematics; Computer science; Physics","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":[0.002377843,0.000109418,0.0002641072,0.000198117,0.0001432789,0.00005868332,0.0009060033,0.00001380033,0.000002573997],"category_scores_gemma":[0.0004120738,0.00007272435,0.00009207747,0.001222854,0.0003344927,0.0002765846,0.0003780577,0.0003289235,0.000004130748],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000424347,"about_ca_system_score_gemma":0.0001304968,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000293117,"about_ca_topic_score_gemma":5.465883e-7,"domain_scores_codex":[0.9979508,0.0009825936,0.0004488503,0.0001294912,0.0003180673,0.0001701982],"domain_scores_gemma":[0.9981766,0.0005071895,0.0003772707,0.0003133874,0.0005516264,0.00007393605],"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":[0.00009173885,0.00005932184,0.001821755,0.00002299096,0.00007250471,0.00004418085,0.0006677005,0.00002322322,0.0002332916,0.9953012,0.0003072038,0.001354886],"study_design_scores_gemma":[0.008413475,0.0007271783,0.01722982,0.0003069718,0.00006776194,0.0002296584,0.0003323636,0.001397195,0.008673759,0.9562237,0.006147174,0.0002509219],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8303276,0.001333274,0.14118,0.0008821482,0.0007554458,0.0002091808,8.267897e-7,0.00002801043,0.02528346],"genre_scores_gemma":[0.9979866,0.0001409091,0.001432191,0.00007579339,0.000007856326,0.000001018085,6.534467e-8,0.00000905218,0.0003464907],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.167659,"threshold_uncertainty_score":0.2965613,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008913040825824276,"score_gpt":0.2555416391057569,"score_spread":0.2466285982799327,"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."}}