{"id":"W2399410257","doi":"","title":"A solution to a conjecture on two rainbow connection numbers of a graph.","year":2012,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Rainbow; Conjecture; Connection (principal bundle); Combinatorics; Graph; Discrete mathematics; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001783759,0.0007871677,0.00113366,0.00143639,0.003826872,0.004111647,0.002709365,0.004702847,0.02751322],"category_scores_gemma":[0.01575731,0.0009773821,0.001275528,0.001991237,0.004325025,0.01169506,0.003897186,0.006214256,0.003346762],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001991181,"about_ca_system_score_gemma":0.001243155,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001324731,"about_ca_topic_score_gemma":0.001546912,"domain_scores_codex":[0.9983217,0.000449746,0.00009050161,0.0005745048,0.0002602317,0.0003032539],"domain_scores_gemma":[0.9905067,0.005820636,0.0006517802,0.001636529,0.0006388125,0.0007456253],"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":[0.0002003611,0.00007349884,0.0006375674,0.0001753509,0.00001982051,0.0001151665,0.0002953902,0.002227779,0.0008898765,0.9593366,0.02466147,0.01136701],"study_design_scores_gemma":[0.00005048367,0.00001778011,0.0002429487,0.00003723249,0.00001303083,0.0001313132,0.0002034034,0.004567205,0.0004358637,0.9866915,0.00758931,0.00001997111],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3625219,0.00279528,0.2648188,0.04582848,0.004312509,0.000207891,0.00324499,0.001805979,0.3144642],"genre_scores_gemma":[0.8403805,0.00108621,0.1088303,0.004750194,0.001313864,0.0002617848,0.002541666,0.0005805907,0.04025475],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02751322,"threshold_uncertainty_score":0.09204096,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01394451625352888,"score_gpt":0.2494635982300455,"score_spread":0.2355190819765167,"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."}}