{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001936025,0.0008396339,0.001220227,0.003454666,0.001616639,0.002048225,0.001646542,0.001677439,0.004150193],"category_scores_gemma":[0.01677475,0.0009025323,0.001127742,0.002226882,0.003573085,0.004930313,0.002580704,0.00157302,0.0005648885],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002174491,"about_ca_system_score_gemma":0.0005879175,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001812572,"about_ca_topic_score_gemma":0.001499514,"domain_scores_codex":[0.9983607,0.0007215338,0.00008600842,0.0003571763,0.0002836353,0.0001909848],"domain_scores_gemma":[0.9900687,0.005448458,0.001712444,0.0009723009,0.0007510178,0.001047075],"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":[0.000147487,0.00003084442,0.002315632,0.0001439773,0.00004871528,0.0002410612,0.0004747882,0.03574959,0.001716569,0.9452743,0.002171497,0.01168546],"study_design_scores_gemma":[0.0000417889,0.00005038881,0.0009606689,0.00004190323,0.00001860681,0.0003674795,0.000119875,0.1233021,0.0005405678,0.8706441,0.003880245,0.00003229386],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.58309,0.003911124,0.3926031,0.002130012,0.00008295286,0.0002232747,0.0008031747,0.0004110412,0.01674542],"genre_scores_gemma":[0.939332,0.002285447,0.04843013,0.000369364,0.0001683327,0.0004093096,0.0009124965,0.0001825745,0.007910363],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004150193,"threshold_uncertainty_score":0.01577717,"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."}}