{"id":"W4379251988","doi":"10.48550/arxiv.2306.00220","title":"Graphs with Large Girth and Small Cop Number","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Girth (graph theory); Conjecture; Mathematics; Exponent; Degree (music); Upper and lower bounds; Discrete mathematics; Physics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004053092,0.0006472095,0.0007937744,0.001237822,0.001351122,0.001712384,0.001054609,0.0007714079,0.005416345],"category_scores_gemma":[0.004354771,0.0005570249,0.0005208101,0.001240813,0.002061287,0.004098298,0.002312349,0.001534144,0.0005363799],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001313632,"about_ca_system_score_gemma":0.000692373,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001482876,"about_ca_topic_score_gemma":0.002300427,"domain_scores_codex":[0.9995013,0.00007730031,0.00001075694,0.000149538,0.0001006518,0.0001604578],"domain_scores_gemma":[0.9972344,0.001198492,0.0004211333,0.0003965988,0.0002208072,0.0005285415],"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":[0.0006120825,0.0001676378,0.01566391,0.0006716234,0.0001623234,0.002015316,0.001028846,0.1036583,0.02380613,0.7905675,0.01297368,0.04867264],"study_design_scores_gemma":[0.0001017508,0.000235108,0.01226131,0.0001371942,0.0001475367,0.002115494,0.0008257891,0.2039027,0.01298294,0.7461789,0.02102698,0.00008424421],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8795767,0.002083677,0.08272792,0.001971476,0.0001355162,0.0001040599,0.0005701284,0.0004466556,0.03238388],"genre_scores_gemma":[0.9797812,0.0008381905,0.01410158,0.0002093702,0.0001227955,0.00007563194,0.0003484765,0.0001391214,0.004383756],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005416345,"threshold_uncertainty_score":0.01811945,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.089286639939253,"score_gpt":0.2165494563151948,"score_spread":0.1272628163759418,"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."}}