{"id":"W4410590705","doi":"10.37236/13669","title":"Frozen Colourings in $2K_2$-free graphs","year":2025,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Mathematics","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":[0.000444172,0.0007596634,0.0008031945,0.001310293,0.002224992,0.002586602,0.001512712,0.001064025,0.009919218],"category_scores_gemma":[0.001980202,0.000976036,0.0008783148,0.001697229,0.002837489,0.003221847,0.002280171,0.001154409,0.001591162],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0020286,"about_ca_system_score_gemma":0.000772677,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004905858,"about_ca_topic_score_gemma":0.005157277,"domain_scores_codex":[0.9988582,0.0001615121,0.000061097,0.000359092,0.0002104224,0.0003496449],"domain_scores_gemma":[0.9980631,0.0005828058,0.0003721656,0.0003846896,0.0002248303,0.000372379],"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":[0.000716138,0.0001330718,0.00353235,0.0004090039,0.00008102043,0.002534436,0.002755796,0.03895538,0.01905171,0.8660931,0.01455843,0.05117957],"study_design_scores_gemma":[0.0001274553,0.00006631228,0.002514883,0.00006179028,0.00004454204,0.0009205201,0.0005337458,0.02784753,0.004944314,0.939082,0.02377255,0.00008439224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7990547,0.001167078,0.1391373,0.001293842,0.0002687378,0.0002648846,0.002339899,0.001176037,0.05529761],"genre_scores_gemma":[0.9438497,0.0004935425,0.02907919,0.000494714,0.00009794332,0.0002672263,0.002815638,0.000381677,0.0225204],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009919218,"threshold_uncertainty_score":0.0331831,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005838327842743764,"score_gpt":0.2613319210123492,"score_spread":0.2554935931696055,"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."}}