{"id":"W1985239078","doi":"10.1007/s003730200035","title":"A Note on Cycle Lengths in Graphs","year":2002,"lang":"en","type":"article","venue":"Graphs and Combinatorics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Combinatorics; Graph; Interval (graph theory); Degree (music); Discrete mathematics; Physics","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":[0.0002234457,0.0002091416,0.0002677931,0.0002801743,0.0002169352,0.00003374669,0.0001883591,0.0001448122,0.00005809397],"category_scores_gemma":[0.0001077987,0.0001753389,0.0001022253,0.0005176024,0.000100598,0.00007177622,0.00007544108,0.0003139748,0.000005490424],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001927962,"about_ca_system_score_gemma":0.000003451158,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001098283,"about_ca_topic_score_gemma":0.000007656007,"domain_scores_codex":[0.9988346,0.00006540001,0.0002607329,0.0002853785,0.0002388637,0.0003150197],"domain_scores_gemma":[0.9991097,0.000318605,0.00007431495,0.0003680461,0.00003127959,0.00009800669],"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":[0.0000117316,0.0001883002,0.002967457,0.00003512991,0.00001265165,0.00002097363,0.001050946,9.785298e-7,0.000007211685,0.9904837,0.001008557,0.004212365],"study_design_scores_gemma":[0.0008444029,0.000150695,0.002921477,0.00003514942,0.00001474874,0.000009460067,0.00007713834,0.0003232133,0.00006352371,0.9939296,0.001402262,0.0002283422],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.974553,0.0005955264,0.0000163656,0.0001395444,0.0005073694,0.0001780993,0.000005836207,0.00009200715,0.02391225],"genre_scores_gemma":[0.9987168,0.0005907684,0.0001854055,0.0002112098,0.00001098488,0.00001477322,7.803606e-7,0.00002571266,0.0002435942],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02416377,"threshold_uncertainty_score":0.7150112,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02316026611590884,"score_gpt":0.2606883193951853,"score_spread":0.2375280532792764,"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."}}