{"id":"W1527608075","doi":"10.37236/460","title":"Another Abstraction of the Erdős-Szekeres Happy End Theorem","year":2010,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University","funders":"Tel Aviv University; Israel Science Foundation; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Combinatorics; Integer (computer science); Simple (philosophy); Regular polygon; Set (abstract data type); Discrete mathematics; General position; Plane (geometry); Geometry; Computer science","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":[0.001182525,0.0007847138,0.000833237,0.001588162,0.0023666,0.002644417,0.001462906,0.001317693,0.01120207],"category_scores_gemma":[0.004034725,0.0004143136,0.001049508,0.001382444,0.003108925,0.007405495,0.005190235,0.002748809,0.002563551],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005565346,"about_ca_system_score_gemma":0.0004778698,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003990021,"about_ca_topic_score_gemma":0.0003534531,"domain_scores_codex":[0.9989005,0.0002406495,0.00005021762,0.0002585983,0.0003578312,0.0001920723],"domain_scores_gemma":[0.9984587,0.0005835313,0.0002050363,0.0003014508,0.0002543679,0.0001968529],"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":[0.00002803107,0.000009699083,0.0001769107,0.00003245186,0.000006375298,0.00007492679,0.0001347201,0.0009401418,0.0004431722,0.9888614,0.002134296,0.007157923],"study_design_scores_gemma":[0.0000132026,0.00003933271,0.0002070427,0.00001513788,0.000009810181,0.0002088017,0.0001156455,0.003842402,0.0008358104,0.961758,0.0329399,0.0000150553],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07087099,0.001053678,0.7269254,0.002261234,0.000888097,0.0001721577,0.001001672,0.0006423459,0.1961845],"genre_scores_gemma":[0.760847,0.001734014,0.1632017,0.001763346,0.0009917746,0.0004731936,0.001173584,0.0005083797,0.06930701],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01120207,"threshold_uncertainty_score":0.03747463,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00733067895343156,"score_gpt":0.2535113501958101,"score_spread":0.2461806712423785,"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."}}