{"id":"W4221138707","doi":"10.1016/j.jctb.2022.09.001","title":"A counterexample to a conjecture about triangle-free induced subgraphs of graphs with large chromatic number","year":2022,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Combinatorics; Counterexample; Mathematics; Conjecture; Digraph; Clique number; Omega; Bounded function; Induced subgraph; Chromatic scale; Graph; Discrete mathematics; Clique; Vertex (graph theory); Physics","routes":{"ca_aff":true,"ca_fund":false,"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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003079915,0.0003298707,0.001057733,0.0003466478,0.0004734707,0.00004853263,0.001097036,0.0001152577,0.001331008],"category_scores_gemma":[0.0008829859,0.0002399209,0.0003992088,0.0007828495,0.0001660938,0.0002605288,0.0004130729,0.0006994,7.66253e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008993612,"about_ca_system_score_gemma":0.000202553,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005798241,"about_ca_topic_score_gemma":0.000007053771,"domain_scores_codex":[0.9964343,0.0008825768,0.001043256,0.0002065256,0.001037939,0.0003954373],"domain_scores_gemma":[0.9963731,0.001053759,0.001246234,0.0007461977,0.0003941812,0.000186564],"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":[0.005839384,0.0003535753,0.0004864937,0.000127625,0.0005420659,0.00007796325,0.007566265,0.000005151189,0.0007343125,0.9814524,0.002730114,0.00008465001],"study_design_scores_gemma":[0.005892841,0.002923145,0.0002904197,0.0001245714,0.0002171067,0.0006256014,0.003021804,6.551992e-7,0.001917818,0.9802878,0.004412203,0.0002860502],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9933042,0.0001359283,0.0002023627,0.0001350145,0.003678219,0.0004641038,0.0001110826,0.00003298754,0.001936113],"genre_scores_gemma":[0.9982183,0.000009038637,0.00115988,0.0001683109,0.000237469,0.0000241229,0.000002502822,0.00006223105,0.0001181533],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004914104,"threshold_uncertainty_score":0.9995819,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01608798495940834,"score_gpt":0.2706868407397928,"score_spread":0.2545988557803844,"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."}}