{"id":"W1984228559","doi":"10.1016/j.disc.2003.06.004","title":"Roman domination in graphs","year":2003,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":556,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Combinatorics; Domination analysis; Vertex (graph theory); Graph; Dominating set; Minimum weight; Discrete mathematics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001221658,0.0004287591,0.0008472133,0.002350076,0.003170543,0.004080094,0.000851904,0.000992173,0.0104602],"category_scores_gemma":[0.005141162,0.0004488569,0.000594073,0.002336824,0.004230782,0.003896258,0.002065174,0.002514288,0.001235658],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001485913,"about_ca_system_score_gemma":0.0006785092,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001380567,"about_ca_topic_score_gemma":0.001473062,"domain_scores_codex":[0.9986069,0.0005692818,0.00004721972,0.0002053327,0.000314354,0.000256887],"domain_scores_gemma":[0.9973176,0.001433636,0.0003248587,0.0002358718,0.000342514,0.0003456055],"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":[0.00001965614,0.00000481451,0.0001106281,0.00001394806,0.000002440501,0.00002522072,0.0002106039,0.0003309166,0.0001450556,0.9956381,0.0009191699,0.002579509],"study_design_scores_gemma":[0.00001237262,0.000005119821,0.0001458718,0.000008429284,0.000004858253,0.0000740917,0.00009883563,0.001681578,0.0001986707,0.9931184,0.004646265,0.000005581234],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3851298,0.001662143,0.06799932,0.004307144,0.0003808227,0.00007716176,0.0002833628,0.0002539176,0.5399063],"genre_scores_gemma":[0.9387631,0.0007463815,0.007805411,0.0004479771,0.0002905792,0.00006188911,0.0001981192,0.0001021144,0.0515844],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0104602,"threshold_uncertainty_score":0.03499287,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01958927517900732,"score_gpt":0.2969287906505696,"score_spread":0.2773395154715623,"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."}}