{"id":"W2394677122","doi":"","title":"A new lower bound on critical graphs with maximum degree of 8 and 9.","year":2011,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Interconnection Networks and Systems","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Degree (music); Combinatorics; Upper and lower bounds; Mathematical analysis; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001399083,0.0001001818,0.0001535233,0.00006436738,0.00006031346,0.00005102807,0.0002627,0.00005370766,0.00002504572],"category_scores_gemma":[0.00001874021,0.00007762634,0.00003407789,0.0001787864,0.0000638611,0.0001848579,0.00006238445,0.00009610606,0.00001116988],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001034053,"about_ca_system_score_gemma":0.00003482402,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001729175,"about_ca_topic_score_gemma":0.00001868456,"domain_scores_codex":[0.9992323,0.00004087271,0.0001557716,0.0002297714,0.0001682318,0.0001730384],"domain_scores_gemma":[0.9993389,0.00008212541,0.00004557594,0.000338215,0.00008546986,0.0001097332],"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":[0.00003237657,0.00006370936,0.001155123,0.000007880186,0.0000141,0.00001863987,0.0004299639,4.304368e-7,0.00001310344,0.9948867,0.001597116,0.001780878],"study_design_scores_gemma":[0.00069983,0.00150091,0.003883315,0.0001002517,0.000008222297,0.00005225024,0.00003740724,0.0008542447,0.0005350193,0.9916361,0.0005234919,0.0001689679],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.902231,0.0002775175,0.05656707,0.0003615739,0.006273002,0.0002672331,0.000001110098,0.0001440572,0.03387745],"genre_scores_gemma":[0.9966415,0.000002789933,0.003113379,0.0000935193,0.00000764206,0.000003744638,1.116389e-7,0.000006963267,0.0001304071],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09441045,"threshold_uncertainty_score":0.316551,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03009968410164512,"score_gpt":0.2394279792793912,"score_spread":0.209328295177746,"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."}}