{"id":"W2400073997","doi":"","title":"The partition theorem of connected digraphs and its enumerative applications.","year":2015,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Partition (number theory); Combinatorics; Discrete mathematics","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":[0.0004273831,0.00006956821,0.00008872504,0.00003615711,0.0001570692,0.00005914142,0.0002556805,0.00003246291,5.328718e-7],"category_scores_gemma":[0.00008004269,0.00004836172,0.0000210877,0.0003477052,0.00008564704,0.0001461913,0.00008672603,0.0000624953,0.000009728995],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000643069,"about_ca_system_score_gemma":0.00003722792,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007463066,"about_ca_topic_score_gemma":0.000001442063,"domain_scores_codex":[0.9992983,0.00009094452,0.0001602134,0.0001679308,0.0001646587,0.0001179239],"domain_scores_gemma":[0.9990594,0.0001828018,0.00009581516,0.0002850897,0.0002962134,0.00008071522],"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":[0.000003713962,0.0000296505,0.0001994245,0.000002547217,0.000009690116,2.581723e-7,0.0004320901,0.000004469523,0.0005478138,0.99736,0.0003956224,0.001014717],"study_design_scores_gemma":[0.0003951493,0.00007630223,0.0002367301,0.000007798367,0.000004465095,0.00000233302,0.00005735276,0.002878587,0.007728096,0.9878962,0.0006543598,0.00006260495],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9871474,0.004187768,0.002421139,0.001768325,0.0008967581,0.0005874721,0.000003629815,0.0002032123,0.002784316],"genre_scores_gemma":[0.9994718,0.00004554089,0.0003470463,0.00005251647,6.537842e-7,0.00004900339,0.000001434578,0.000003452351,0.00002857751],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01232439,"threshold_uncertainty_score":0.1972134,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01641995753895555,"score_gpt":0.2361914125989609,"score_spread":0.2197714550600053,"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."}}