{"id":"W2106653152","doi":"10.1016/j.disc.2005.04.024","title":"Labeling trees with a condition at distance two","year":2006,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":32,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université du Québec en Outaouais","funders":"","keywords":"Combinatorics; Mathematics; Degree (music); Span (engineering); Graph; Integer (computer science); Edge-graceful labeling; Discrete mathematics; Graph power; Physics; Computer science","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":[0.002213209,0.0006872657,0.001801464,0.001651582,0.003381325,0.005211563,0.002401433,0.00459152,0.01365773],"category_scores_gemma":[0.01929701,0.001030359,0.001188481,0.002590971,0.003806076,0.01304268,0.00464067,0.006617167,0.002119362],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002521273,"about_ca_system_score_gemma":0.001805441,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001600842,"about_ca_topic_score_gemma":0.001817648,"domain_scores_codex":[0.9972304,0.0007314218,0.0002185321,0.0007733885,0.0005355255,0.0005107885],"domain_scores_gemma":[0.9746902,0.01775134,0.001136309,0.003262551,0.001426573,0.001732922],"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":[0.0005744005,0.0001628793,0.001180764,0.0002116371,0.00002201927,0.0001229278,0.0004832594,0.004086524,0.006961957,0.9458808,0.01260734,0.02770547],"study_design_scores_gemma":[0.00008570677,0.00005500015,0.000451486,0.00003978003,0.00002504017,0.0001730479,0.0002404675,0.01725057,0.004109651,0.9701409,0.007397163,0.0000311139],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3625937,0.0008476348,0.5390951,0.01105942,0.0006722499,0.0002232382,0.002698761,0.001829366,0.08098053],"genre_scores_gemma":[0.7451622,0.0006964701,0.2257178,0.002613288,0.000582294,0.0003406651,0.00344115,0.0008105619,0.02063554],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01365773,"threshold_uncertainty_score":0.04568964,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008680740982188557,"score_gpt":0.2300537654908175,"score_spread":0.2213730245086289,"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."}}