{"id":"W1993587964","doi":"10.1016/j.disc.2009.12.007","title":"Domination of generalized Cartesian products","year":2010,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; National Research Foundation","keywords":"Mathematics; Cartesian product; Combinatorics; Discrete mathematics; Cartesian coordinate system; Algebra over a field; Pure mathematics; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0005078968,0.00009670664,0.0001656732,0.0001108995,0.000054928,0.00004595223,0.0007209809,0.00004251931,0.00001703737],"category_scores_gemma":[0.0003702551,0.00007858432,0.00004703771,0.0004126874,0.0001081204,0.0002719008,0.0001576091,0.0001458336,0.00002085609],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007013017,"about_ca_system_score_gemma":0.00003919524,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001684992,"about_ca_topic_score_gemma":0.000003900325,"domain_scores_codex":[0.9989923,0.00003733839,0.0002420902,0.0002038557,0.0003294692,0.0001949885],"domain_scores_gemma":[0.998682,0.00009924981,0.0001322443,0.0008409119,0.000188911,0.00005671005],"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":[0.000001918512,0.0000402785,0.00003262263,0.00007442318,0.000006776844,0.000001648826,0.00103342,0.000007173542,0.1272413,0.8689965,0.00005095003,0.002513034],"study_design_scores_gemma":[0.0004838276,0.0000681072,0.0002573874,0.00002946465,0.000009316976,0.0000236838,0.0001070151,0.05203222,0.3087644,0.6371896,0.0007927511,0.0002421765],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3057008,0.00002697757,0.6874099,0.0007649815,0.0002408106,0.0003900123,0.00000485111,0.0001081785,0.005353423],"genre_scores_gemma":[0.582994,0.000002353461,0.4166248,0.0000111919,0.00002859513,0.00001396206,0.000002248273,0.000009418358,0.0003133988],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.2772932,"threshold_uncertainty_score":0.3204576,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01717967583567822,"score_gpt":0.2945840837362648,"score_spread":0.2774044079005866,"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."}}