{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001251017,0.0001378478,0.0002213561,0.0001556326,0.0001822826,0.00005712366,0.001573469,0.00005435899,0.00001136067],"category_scores_gemma":[0.00004742718,0.00008393298,0.0001570921,0.0007794536,0.00005946072,0.0003508955,0.0001121124,0.000591633,0.00001985242],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006933714,"about_ca_system_score_gemma":0.0002469354,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009318669,"about_ca_topic_score_gemma":0.000001852931,"domain_scores_codex":[0.9984002,0.0001151816,0.0003826597,0.0001343438,0.0004232758,0.0005443991],"domain_scores_gemma":[0.9984762,0.00007594323,0.0005129465,0.0005005512,0.0003275218,0.0001068293],"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":[0.00001121878,0.0001355173,0.0006648136,0.000004058638,0.00005205503,0.0000119276,0.000350974,0.000007036719,0.00007458294,0.9965439,0.001689751,0.000454136],"study_design_scores_gemma":[0.0005231823,0.0004038209,0.0006111127,0.00002393899,0.00002496994,0.0002043612,0.00003394659,0.0002143096,0.002824472,0.9894481,0.005572889,0.0001149092],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5626351,0.08895954,0.3076968,0.01008375,0.009980182,0.0005435589,0.000001124698,0.0004106814,0.01968924],"genre_scores_gemma":[0.9978515,0.0014648,0.0002315541,0.0002062505,0.00001518292,0.000001420221,7.254516e-8,0.000009976028,0.0002192473],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4352164,"threshold_uncertainty_score":0.3422688,"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."}}