{"id":"W2027899079","doi":"10.1016/j.disc.2005.06.009","title":"Chromatic numbers and products","year":2005,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Chromatic scale; Mathematics; Combinatorics; Discrete mathematics; Graph; Graph theory; Product (mathematics); Geometry","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":[0.00087395,0.000783817,0.0009276072,0.003218146,0.002954443,0.005845328,0.001296503,0.001624963,0.01597598],"category_scores_gemma":[0.003179224,0.0007259252,0.0006291925,0.004077036,0.008837556,0.01460707,0.002752558,0.00483741,0.001474109],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002871047,"about_ca_system_score_gemma":0.0007902206,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001963711,"about_ca_topic_score_gemma":0.001804263,"domain_scores_codex":[0.9992828,0.0001725335,0.00003249559,0.0002292425,0.0001990123,0.0000838673],"domain_scores_gemma":[0.9983961,0.0008035261,0.0001662576,0.0002325109,0.0002305794,0.0001710993],"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":[0.000002448671,0.000002264803,0.00002356957,0.000006511586,8.046493e-7,0.000003841407,0.00007748464,0.00005124447,0.00003958763,0.9981874,0.0005799302,0.001024947],"study_design_scores_gemma":[0.000001962693,0.000001820235,0.00005156468,0.00000423995,0.000002212318,0.00002272277,0.00004251553,0.0001921818,0.00004766107,0.9944814,0.005148905,0.00000269911],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1514283,0.01348011,0.1099185,0.01420524,0.001657225,0.00006535983,0.000660633,0.0003933081,0.7081914],"genre_scores_gemma":[0.8428547,0.006258808,0.02068094,0.001515337,0.001951023,0.0001621049,0.0004304566,0.0002040223,0.1259426],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01597598,"threshold_uncertainty_score":0.05344498,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02251451114500187,"score_gpt":0.2876285084972687,"score_spread":0.2651139973522668,"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."}}