{"id":"W2151914851","doi":"10.1002/jgt.20496","title":"Geodesics and almost geodesic cycles in random regular graphs","year":2010,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Geodesic; Mathematics; Combinatorics; Random graph; Discrete mathematics; Graph; Geometry","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":[0.003078168,0.000150385,0.000452447,0.0008046784,0.00006948798,0.00002430128,0.0002358979,0.0001542277,0.000108128],"category_scores_gemma":[0.001160169,0.0001130776,0.0001725667,0.0004626428,0.0003361014,0.0001378751,0.00003989691,0.0006321376,0.000002118774],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007636108,"about_ca_system_score_gemma":0.00005068632,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005165157,"about_ca_topic_score_gemma":0.00001926949,"domain_scores_codex":[0.9986276,0.0002205909,0.0005589327,0.0001245873,0.000218321,0.0002499793],"domain_scores_gemma":[0.9976835,0.001486357,0.0004036815,0.0002106116,0.00009559155,0.0001202369],"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":[0.0003253998,0.0002019525,0.01022664,0.0000416091,0.0001031042,0.000112931,0.0005708294,0.000002285111,0.002512603,0.976411,0.0006020167,0.008889567],"study_design_scores_gemma":[0.002261091,0.00009612795,0.01103579,0.00003573902,0.00006514517,0.0004655788,0.0004391736,0.000005035883,0.0006404766,0.9844912,0.0003426268,0.0001220194],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9954383,0.0008465564,0.002020982,0.0002975619,0.0004007372,0.00009637567,0.000001818253,0.00001199235,0.0008857215],"genre_scores_gemma":[0.995299,0.000254587,0.004109164,0.0001046547,0.00008836772,0.000001698612,3.015404e-7,0.00001926954,0.0001229838],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008767548,"threshold_uncertainty_score":0.4611169,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01404075541777588,"score_gpt":0.2712022080334401,"score_spread":0.2571614526156643,"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."}}