{"id":"W2394711279","doi":"","title":"The t-Pebbling Conjecture on Products of Complete r-Partite Graphs.","year":2011,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Conjecture; 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":[0.0007332627,0.0001546935,0.0001850459,0.0001271078,0.0003024628,0.00005274678,0.001619864,0.00004782911,0.000006635231],"category_scores_gemma":[0.0002385256,0.0001082966,0.00007171663,0.0009420657,0.000297768,0.0002369724,0.0002930466,0.0002917931,0.00004597519],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001980034,"about_ca_system_score_gemma":0.00005703225,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001098231,"about_ca_topic_score_gemma":0.000002491415,"domain_scores_codex":[0.9983007,0.0001994309,0.0002538132,0.0003879899,0.0004368901,0.0004212006],"domain_scores_gemma":[0.9979191,0.0003583086,0.0001431224,0.001250392,0.0002405503,0.00008850804],"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":[0.00003564868,0.00007103927,0.0006349335,0.00001032822,0.00002308955,0.000007585187,0.0005722489,0.000006875355,0.001402782,0.9948727,0.0003087308,0.002054007],"study_design_scores_gemma":[0.0003802547,0.0003104746,0.002398088,0.00002292181,0.000003102791,0.000005005274,0.00002406279,0.0002984603,0.03376825,0.960691,0.001967447,0.0001309295],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9800752,0.0007785935,0.002439544,0.001325036,0.003854339,0.0009142705,0.00000685213,0.0003097793,0.01029641],"genre_scores_gemma":[0.997686,0.00002904396,0.002070177,0.00007329616,0.000004947135,0.00002040637,8.547779e-7,0.00001409389,0.0001012398],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03418173,"threshold_uncertainty_score":0.4416208,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0442046350333334,"score_gpt":0.2703736874322913,"score_spread":0.2261690523989579,"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."}}