{"id":"W2177700890","doi":"","title":"Extremal bipartite graphs with high girth","year":2007,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph theory and applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Bipartite graph; Mathematics; Combinatorics; Girth (graph theory); Complete bipartite graph; Graph; Degree (music); Odd graph; Pancyclic graph; Discrete mathematics; Triangle-free graph; Foster graph; 1-planar graph; Graph power; Line graph; Physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.0004159092,0.0002645512,0.0005270148,0.00115507,0.0008621008,0.001064477,0.0005295544,0.0006868899,0.00159755],"category_scores_gemma":[0.003388917,0.0003405701,0.000254719,0.0007591625,0.0009280316,0.001157089,0.001330771,0.0006456018,0.0002267513],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005457599,"about_ca_system_score_gemma":0.0001628267,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002048371,"about_ca_topic_score_gemma":0.0003443575,"domain_scores_codex":[0.9994258,0.0001683122,0.00001722815,0.0001487828,0.000100546,0.0001393907],"domain_scores_gemma":[0.9977768,0.001112943,0.0003675542,0.0003240664,0.0001567425,0.0002618507],"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":[0.001346447,0.0001619221,0.03668822,0.0004128179,0.0001727393,0.003332966,0.001484586,0.06546629,0.06758707,0.7412598,0.009336433,0.07275085],"study_design_scores_gemma":[0.00007577705,0.0001813967,0.02685656,0.00007106149,0.00008471344,0.006048219,0.0007392211,0.1571451,0.01586012,0.7796426,0.01322648,0.00006867982],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9525862,0.0006337133,0.03504121,0.0004844838,0.00002426095,0.00001258317,0.0002573646,0.0001853641,0.01077489],"genre_scores_gemma":[0.9904935,0.000207061,0.008018645,0.00006568863,0.00004577115,0.00001753274,0.000202616,0.00002516944,0.0009239798],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00159755,"threshold_uncertainty_score":0.005344331,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02002632650413408,"score_gpt":0.2691574781823787,"score_spread":0.2491311516782447,"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."}}