{"id":"W4205569143","doi":"10.37236/10225","title":"Paths of Length Three are $K_{r+1}$-Turán-Good","year":2021,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Combinatorics; Conjecture; Mathematics; Graph; Path (computing); Discrete mathematics; Computer science","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":[],"consensus_categories":[],"category_scores_codex":[0.001409188,0.0001903652,0.000521198,0.00008454312,0.0001913957,0.00002321866,0.0006782138,0.0001158679,0.00005333952],"category_scores_gemma":[0.0006050803,0.0001202461,0.0003310971,0.0004026075,0.0001082114,0.00009919786,0.0001424942,0.0009987114,0.000001103264],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001435336,"about_ca_system_score_gemma":0.0004424347,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001471048,"about_ca_topic_score_gemma":0.00001352062,"domain_scores_codex":[0.9979041,0.0002301152,0.0006623241,0.0001182849,0.0006098516,0.0004752728],"domain_scores_gemma":[0.9970562,0.0007325567,0.0009800456,0.0005401921,0.0006221122,0.00006890979],"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":[0.00004620673,0.0001776297,0.0007608865,0.00005276135,0.0002746121,0.00003168087,0.0005108436,0.000006172443,0.0002396436,0.9967647,0.0005314532,0.0006034031],"study_design_scores_gemma":[0.0008287127,0.0003044537,0.0007096115,0.00007603794,0.0001934016,0.0004383319,0.0004454931,0.00001624641,0.006589759,0.9883298,0.001937757,0.0001303954],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.976992,0.01308962,0.004425364,0.0007007932,0.001053073,0.0001202925,0.00000394175,0.00001913546,0.003595789],"genre_scores_gemma":[0.9983648,0.0009948749,0.00009571011,0.00006133252,0.0001478767,0.00000114316,3.948824e-7,0.00003153992,0.0003023107],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02137283,"threshold_uncertainty_score":0.4903494,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01706337710657568,"score_gpt":0.2618019434508168,"score_spread":0.2447385663442411,"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."}}