{"id":"W7117418922","doi":"10.61091/um125-07","title":"Unique paired vs edge-vertex minimum dominating sets in trees","year":2025,"lang":"","type":"article","venue":"Utilitas Mathematica","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Dominating set; Class (philosophy); Tree (set theory); Set (abstract data type)","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.004242048,0.0007378341,0.001236184,0.001334596,0.0004457572,0.0003872908,0.0032209,0.0003727417,0.0004117598],"category_scores_gemma":[0.004142947,0.0007371621,0.0003706009,0.003851694,0.0008702836,0.0009015421,0.002007654,0.0009866478,0.000316984],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003882768,"about_ca_system_score_gemma":0.0006512941,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002261545,"about_ca_topic_score_gemma":0.00008202517,"domain_scores_codex":[0.9926922,0.001355245,0.00173055,0.001571295,0.0009435025,0.001707265],"domain_scores_gemma":[0.9911187,0.005205902,0.0003164669,0.002700397,0.0003322691,0.0003262835],"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":[0.0002441579,0.001410712,0.0005455193,0.002061115,0.0001598168,0.000199115,0.01200511,0.00005364017,0.001057304,0.8200662,0.002300631,0.1598967],"study_design_scores_gemma":[0.001301578,0.0002108337,0.001483071,0.002479587,0.00003187828,0.00001702705,0.001252847,0.3299372,0.002290493,0.6599028,0.0005745613,0.000518148],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.213711,0.005640791,0.6252725,0.01207507,0.001970055,0.006150782,0.00008245879,0.0007997814,0.1342976],"genre_scores_gemma":[0.939638,0.00008913643,0.05425208,0.0003125512,0.0000232558,0.0002266375,0.000004254032,0.00005154659,0.005402538],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7259271,"threshold_uncertainty_score":0.999508,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02618082268145605,"score_gpt":0.3228166587286208,"score_spread":0.2966358360471647,"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."}}