{"id":"W2066522339","doi":"10.1006/jctb.2000.2003","title":"Chromatic Number and the 2-Rank of a Graph","year":2001,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":35,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Chromatic scale; Combinatorics; Graph; Rank (graph theory); Friendship graph; Adjacency matrix; Mathematics; Windmill graph; Discrete mathematics; Line graph; Graph power","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":[0.001403753,0.0007877268,0.001060197,0.004149482,0.00226949,0.005738939,0.002044613,0.001968961,0.01214968],"category_scores_gemma":[0.007590409,0.0007841346,0.000585242,0.002877612,0.004406326,0.007286124,0.001799458,0.002446271,0.0009711703],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001987442,"about_ca_system_score_gemma":0.0009969396,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002321799,"about_ca_topic_score_gemma":0.003105115,"domain_scores_codex":[0.9988301,0.0003358895,0.00005589735,0.0002592765,0.0002457268,0.0002731242],"domain_scores_gemma":[0.98858,0.006609566,0.002112045,0.0007539775,0.0005937959,0.0013505],"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":[0.0005743185,0.0001637011,0.006156643,0.0002023813,0.00005229567,0.0001695721,0.0007905863,0.01618445,0.005709951,0.9423093,0.009587476,0.01809932],"study_design_scores_gemma":[0.000104032,0.00008275726,0.003339645,0.00004663548,0.0000475206,0.0003697632,0.0003501392,0.04103542,0.001824884,0.9481837,0.004529535,0.00008605173],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8986923,0.001256833,0.04123744,0.005767418,0.0002489976,0.00005876726,0.002026761,0.0003625729,0.05034905],"genre_scores_gemma":[0.9810626,0.0005238751,0.009576154,0.0002696012,0.0003872942,0.00005762475,0.000645317,0.00008917652,0.00738831],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01214968,"threshold_uncertainty_score":0.04064476,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006015949863867088,"score_gpt":0.2158930395992454,"score_spread":0.2098770897353783,"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."}}