{"id":"W1548662877","doi":"10.37236/508","title":"Digraphs are $2$-Weight Choosable","year":2011,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"Natural Sciences and Engineering Research Council of Canada; University of Ottawa; Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Mathematics; Vertex (graph theory); Digraph; Algebraic number; Graph; Weighting; Discrete mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0005149478,0.0005865071,0.0007245408,0.0008543313,0.0009129943,0.002705316,0.0007224628,0.001080792,0.008743346],"category_scores_gemma":[0.003100749,0.0008598415,0.0008283573,0.001017761,0.001628798,0.002853233,0.0015991,0.001336927,0.0009162164],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001271217,"about_ca_system_score_gemma":0.0005410608,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000860516,"about_ca_topic_score_gemma":0.001462787,"domain_scores_codex":[0.9991621,0.0001402999,0.00007241471,0.0002643394,0.0001886859,0.0001721481],"domain_scores_gemma":[0.9976047,0.001227759,0.0003507615,0.0003455976,0.0002126961,0.0002584634],"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":[0.0002960082,0.0001104051,0.002554281,0.0002494037,0.00007092275,0.0004361304,0.0004664699,0.01674864,0.01092711,0.935043,0.004502161,0.02859548],"study_design_scores_gemma":[0.0001718639,0.00006408185,0.001512738,0.00002748981,0.00004558207,0.0005439716,0.0001746296,0.03165103,0.004899537,0.9483719,0.01248702,0.0000501507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7302657,0.0005486324,0.1939468,0.002261287,0.0002256118,0.0002095208,0.001890852,0.0007374996,0.06991401],"genre_scores_gemma":[0.9387049,0.0004385721,0.03951595,0.0005682404,0.0001010434,0.0001917457,0.001479236,0.0001180985,0.0188822],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008743346,"threshold_uncertainty_score":0.02924943,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01391826293828058,"score_gpt":0.1897037726936705,"score_spread":0.1757855097553899,"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."}}