{"id":"W4414643038","doi":"10.61091/ars164-06","title":"On the interval coloring impropriety of graphs","year":2025,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Research Foundation of Korea; National Research Foundation; European Commission; National Science Foundation","keywords":"Appearance of impropriety; Interval (graph theory); Vertex (graph theory); Edge coloring; Graph coloring; Graph; Multipartite; Interval graph","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004674204,0.00009059065,0.0001281724,0.00009423257,0.0001233638,0.0000452006,0.0007386039,0.00004522702,0.000004384881],"category_scores_gemma":[0.0001021572,0.00006126468,0.00008439278,0.0006481687,0.00007333167,0.00007619288,0.0002604458,0.0001611328,0.00001140353],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001364687,"about_ca_system_score_gemma":0.00004597637,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002861582,"about_ca_topic_score_gemma":8.99906e-7,"domain_scores_codex":[0.9991755,0.00006307926,0.0002031933,0.0002136328,0.0001863788,0.0001582336],"domain_scores_gemma":[0.9989333,0.0002552118,0.00007179494,0.0005988375,0.0001109102,0.00002990152],"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":[0.000005063969,0.00006224713,0.000605822,0.000008692126,0.00002045694,9.221007e-7,0.0001282564,0.00001020207,0.001307628,0.9943036,0.002574901,0.0009722158],"study_design_scores_gemma":[0.0002924408,0.0001058511,0.0008483464,0.00006509,0.000004692776,4.767869e-7,0.0000173118,0.00174387,0.01607321,0.9806466,0.0001420977,0.00006005486],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9905052,0.0001035371,0.0004216119,0.001551355,0.002544478,0.000130172,4.48649e-7,0.00009639978,0.004646821],"genre_scores_gemma":[0.9988976,0.000006781475,0.0004495261,0.000495367,2.09523e-7,0.00001217933,2.289906e-7,0.000003342463,0.0001347569],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01476558,"threshold_uncertainty_score":0.2498301,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01076149283873057,"score_gpt":0.2297415659826216,"score_spread":0.2189800731438911,"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."}}