{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004653958,0.0003944156,0.0002986071,0.001369642,0.0008104626,0.001285454,0.0007874577,0.0003290137,0.002776165],"category_scores_gemma":[0.003074991,0.000331803,0.0004705276,0.0009622176,0.002060566,0.001982114,0.001460233,0.001017584,0.0002144418],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001493554,"about_ca_system_score_gemma":0.0005948084,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002540512,"about_ca_topic_score_gemma":0.002893839,"domain_scores_codex":[0.9995188,0.00007847885,0.00002180402,0.0001212226,0.0001015678,0.0001582815],"domain_scores_gemma":[0.9969622,0.00151862,0.0004648668,0.0004875643,0.0002035207,0.0003632806],"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":[0.0006964251,0.0002619714,0.04122031,0.0002762721,0.00008546962,0.0004847493,0.001324411,0.08336797,0.03964596,0.756115,0.004444832,0.07207662],"study_design_scores_gemma":[0.00007048327,0.0001476254,0.02099063,0.00008206888,0.00008809719,0.0009050568,0.0006352418,0.199095,0.01962115,0.7462766,0.01200961,0.00007855151],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.891688,0.0005018017,0.07954618,0.0003500911,0.00003975875,0.00003436393,0.0002892719,0.0002631094,0.02728743],"genre_scores_gemma":[0.9821417,0.0003047259,0.01442256,0.0001164535,0.00003454203,0.0000343789,0.0002843029,0.00007451543,0.002586837],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002776165,"threshold_uncertainty_score":0.0108366,"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."}}