{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00217254,0.001300462,0.001546355,0.004252152,0.002523184,0.004229519,0.003042223,0.002228956,0.008631871],"category_scores_gemma":[0.01647673,0.0009259419,0.001124293,0.008806717,0.00538178,0.02091298,0.00324059,0.007846124,0.002129124],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002514874,"about_ca_system_score_gemma":0.0008777505,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002379193,"about_ca_topic_score_gemma":0.002543482,"domain_scores_codex":[0.9983268,0.000494861,0.0001291344,0.0003757415,0.0005274297,0.0001459397],"domain_scores_gemma":[0.9809301,0.01511644,0.0006103056,0.00147594,0.001161637,0.0007055828],"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":[0.00006559371,0.00004095783,0.000566733,0.000294415,0.00001972384,0.00009724048,0.0003962494,0.003266135,0.0009670152,0.9277214,0.03010309,0.03646155],"study_design_scores_gemma":[0.000005480052,0.00001166328,0.0001923371,0.00005080708,0.00001222052,0.0000446821,0.00007089148,0.00171127,0.0002981886,0.9668267,0.03075754,0.00001820113],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07468495,0.1208934,0.3710591,0.07893888,0.02551579,0.0001522507,0.002730413,0.001990153,0.324035],"genre_scores_gemma":[0.572865,0.104828,0.1692111,0.01721475,0.05048506,0.000409633,0.001441898,0.002405836,0.08113865],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008631871,"threshold_uncertainty_score":0.02887654,"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."}}