{"id":"W2024469085","doi":"10.1016/j.disc.2009.04.020","title":"Some bounds on the injective chromatic number of graphs","year":2009,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":38,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Council","keywords":"Injective function; Chromatic scale; Mathematics; Combinatorics; 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":[0.000615571,0.0003033117,0.0004966639,0.00008880463,0.0002901056,0.00004494345,0.0005325808,0.0001210347,0.0001911224],"category_scores_gemma":[0.0006742217,0.0001719915,0.0002923818,0.0002847222,0.0002715613,0.0001104969,0.00008109825,0.0002704551,0.00002584477],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003016002,"about_ca_system_score_gemma":0.00002213766,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001787492,"about_ca_topic_score_gemma":6.780421e-7,"domain_scores_codex":[0.9982327,0.000112596,0.0005929638,0.0002168417,0.0005239787,0.0003209291],"domain_scores_gemma":[0.9972793,0.001237236,0.000391464,0.0009456856,0.00008068608,0.00006555898],"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":[0.00001433539,0.0001522302,0.00004131561,0.0001424953,0.00009198934,0.00000270244,0.006712969,0.00000164244,0.0001686018,0.9912805,0.00121469,0.0001765592],"study_design_scores_gemma":[0.0002315998,0.0001417605,0.0003629717,0.0002077309,0.00009043393,0.00002227484,0.001160814,0.0002937098,0.002238457,0.9949841,0.000049073,0.0002170925],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9538206,0.00005898709,0.0005774189,0.0004370905,0.000181878,0.0005270546,0.00002575942,0.0001040219,0.04426719],"genre_scores_gemma":[0.9907367,0.00002029541,0.008329096,0.0004102839,0.00009134861,0.00001753601,0.000002661223,0.00003753254,0.0003545592],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04391263,"threshold_uncertainty_score":0.7013611,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02374741937947625,"score_gpt":0.3068294960428739,"score_spread":0.2830820766633976,"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."}}