{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001974141,0.0008294907,0.0009679118,0.002246364,0.001780779,0.002764999,0.001667363,0.0010932,0.003986062],"category_scores_gemma":[0.009908092,0.0007938766,0.0008872972,0.003086214,0.003453844,0.004204302,0.002174595,0.002678755,0.0004609613],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002153629,"about_ca_system_score_gemma":0.0005544606,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001268595,"about_ca_topic_score_gemma":0.001093485,"domain_scores_codex":[0.9977538,0.000522805,0.0001168628,0.0004988811,0.0005954726,0.0005121891],"domain_scores_gemma":[0.980486,0.01491339,0.001325187,0.001745792,0.0007394369,0.0007901129],"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":[0.0007715852,0.0001762203,0.009660599,0.0003216758,0.00007378702,0.0005048074,0.001160319,0.14635,0.01585153,0.7650819,0.004147865,0.05589961],"study_design_scores_gemma":[0.00006665359,0.0001954911,0.00386732,0.00009712886,0.00006372096,0.001055998,0.0004581038,0.2527146,0.009148705,0.7215789,0.0106855,0.00006782317],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6127561,0.001829108,0.3413794,0.001051467,0.00009781621,0.0001042036,0.0006023122,0.0006415835,0.04153803],"genre_scores_gemma":[0.925542,0.0009480097,0.07001204,0.0002113382,0.0001975139,0.0001007616,0.0005433297,0.0001772645,0.00226782],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003986062,"threshold_uncertainty_score":0.01562577,"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."}}