{"id":"W2575159521","doi":"","title":"Star coloring of Cartesian product of paths and cycles.","year":2016,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Cartesian product; Mathematics; Star (game theory); Cartesian coordinate system; Product (mathematics); Pure mathematics; Combinatorics; Geometry; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005028477,0.0004495851,0.0004888936,0.0009385814,0.001101685,0.001692673,0.0006300026,0.0005529085,0.01195111],"category_scores_gemma":[0.00217862,0.0005515594,0.0006512617,0.001352919,0.001432397,0.002743979,0.001626857,0.00108873,0.002011307],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007558953,"about_ca_system_score_gemma":0.000775483,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002262056,"about_ca_topic_score_gemma":0.003098359,"domain_scores_codex":[0.9993624,0.0001848147,0.00003522493,0.0001810246,0.0001144926,0.0001220516],"domain_scores_gemma":[0.9981503,0.0006532655,0.0001990509,0.0003468074,0.0004035024,0.0002470139],"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":[0.000131808,0.00003575026,0.0009693101,0.0001301336,0.00002140654,0.0002370972,0.0004075549,0.003107612,0.003158639,0.9623602,0.00891679,0.02052365],"study_design_scores_gemma":[0.00002822403,0.00006767778,0.0007971719,0.00004175257,0.00003551052,0.0006232169,0.0002511826,0.01617087,0.003585899,0.9449708,0.03340434,0.00002343635],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3635142,0.001712015,0.4640074,0.001113388,0.0007654588,0.0001356058,0.001551555,0.001480681,0.1657197],"genre_scores_gemma":[0.8181126,0.0009738145,0.1209009,0.0003507051,0.000219797,0.00009762022,0.00145263,0.0004819267,0.05740998],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01195111,"threshold_uncertainty_score":0.03998047,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01489582493422317,"score_gpt":0.2619102100061177,"score_spread":0.2470143850718946,"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."}}