{"id":"W2408485812","doi":"","title":"Upper Domination Number and Domination Number in a Tree.","year":2010,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Domination analysis; Tree (set theory); Combinatorics; Graph","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":[0.0008159206,0.0001451817,0.0001636781,0.0001471733,0.0001081618,0.0001359999,0.0005132897,0.0001218349,0.0000661754],"category_scores_gemma":[0.0002366465,0.0001457735,0.00003816279,0.0006608116,0.0001196686,0.001014921,0.0002511186,0.0004157753,0.000159718],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004950428,"about_ca_system_score_gemma":0.00004163076,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002174806,"about_ca_topic_score_gemma":0.0000537208,"domain_scores_codex":[0.998539,0.0001350489,0.0002171312,0.0004249202,0.0003502623,0.000333622],"domain_scores_gemma":[0.9988959,0.0002935266,0.00006990246,0.0004928936,0.0001374929,0.0001103167],"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":[0.00001417328,0.00009245242,0.03226158,0.000006634814,0.000003908463,0.00001169773,0.0004727915,8.580767e-7,0.002910117,0.9413956,0.0001334278,0.02269675],"study_design_scores_gemma":[0.001494509,0.00002617223,0.06194675,0.00001240678,0.000002011151,0.00003272875,0.00002738526,0.0039947,0.003492153,0.9277228,0.001059144,0.0001892251],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.985543,0.00001246354,0.001936113,0.000643125,0.001091316,0.000259675,7.052878e-7,0.00007892468,0.0104347],"genre_scores_gemma":[0.992457,0.00001100206,0.006829184,0.00005730587,0.000009430047,0.00005072976,0.000002587753,0.0000144484,0.0005682885],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02968518,"threshold_uncertainty_score":0.594447,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008080176089906686,"score_gpt":0.2830042348101264,"score_spread":0.2749240587202197,"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."}}