{"id":"W2906816032","doi":"10.48550/arxiv.1812.11872","title":"A rainbow version of Mantel's Theorem","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Combinatorics; Mathematics; Modulo; Vertex (graph theory); Rainbow; Graph; Simple (philosophy); Simple graph; Upper and lower bounds; Discrete mathematics; Physics; Quantum mechanics; Philosophy","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004366173,0.0003284616,0.0004994037,0.0002625157,0.0001821226,0.00001529122,0.0009592983,0.0004513297,0.0005752514],"category_scores_gemma":[0.0001716399,0.0003129643,0.0004029579,0.0002427273,0.0005332687,0.00007395144,0.001699919,0.0004664456,0.00002710228],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008695434,"about_ca_system_score_gemma":0.00007005106,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002237639,"about_ca_topic_score_gemma":0.000006391324,"domain_scores_codex":[0.9985168,0.000194466,0.0002619581,0.0006285482,0.0001157669,0.0002824396],"domain_scores_gemma":[0.9976925,0.0003419201,0.0004314744,0.001217334,0.0002151553,0.000101626],"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":[0.0002683585,0.00008533318,0.001237508,0.0003971712,0.0002512376,0.00007743479,0.0007399056,0.0003772308,0.00004152274,0.993526,0.002882884,0.0001154606],"study_design_scores_gemma":[0.0005207643,0.00007559992,0.0002895299,0.000232668,0.0002464424,0.000004303399,0.0002603068,0.002783515,0.0007325979,0.9938457,0.0006738466,0.0003347185],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9641601,0.00003970015,0.007174142,0.00001577693,0.0008278153,0.0003082459,0.00007976629,0.0001198151,0.02727459],"genre_scores_gemma":[0.9962791,0.0001135552,0.001089114,0.00003067231,0.0001430273,3.200301e-7,0.0000133872,0.00003828782,0.002292507],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03211898,"threshold_uncertainty_score":0.9999322,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07663300934084757,"score_gpt":0.2139740404214396,"score_spread":0.1373410310805921,"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."}}