{"id":"W1747715124","doi":"10.37236/1914","title":"Splitting Numbers of Grids","year":2005,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Antichain; Combinatorics; Mathematics; Partially ordered set; Crystallography; Chemistry","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001855507,0.00009316758,0.0001973038,0.0001003596,0.00009353372,0.00003220909,0.00103325,0.00003858595,0.00000336687],"category_scores_gemma":[0.00007107619,0.00006144752,0.0001264079,0.0005309681,0.00004993592,0.0002460111,0.00008838775,0.000464608,0.000005881386],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009613394,"about_ca_system_score_gemma":0.0003068613,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005365503,"about_ca_topic_score_gemma":0.000001205791,"domain_scores_codex":[0.9985403,0.0000920606,0.0004765666,0.0000887202,0.0004286076,0.0003737618],"domain_scores_gemma":[0.9986635,0.0001519617,0.000510314,0.0003248125,0.0002895083,0.0000599334],"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":[0.000006068361,0.00007387033,0.0001395823,0.000004177014,0.0000342599,0.00000137574,0.0003138415,0.000448821,0.0007471924,0.9944074,0.0005017055,0.00332172],"study_design_scores_gemma":[0.0006723084,0.0003780714,0.00008512039,0.00003343687,0.00002378021,0.0001953311,0.00004208006,0.00263249,0.008727594,0.9824697,0.004644821,0.00009529346],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8708398,0.01018726,0.1085239,0.006719303,0.00101497,0.0001063946,2.138379e-7,0.00005117408,0.002556954],"genre_scores_gemma":[0.9987324,0.0002814605,0.0006773648,0.0001285816,0.00002508405,3.743702e-7,5.611432e-8,0.000006539941,0.0001481004],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1278926,"threshold_uncertainty_score":0.2505757,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004558685025001118,"score_gpt":0.2091813424029391,"score_spread":0.204622657377938,"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."}}