{"id":"W161708728","doi":"","title":"Square-free colorings of graphs.","year":2004,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Combinatorics; Mathematics; Square-free integer; Cartesian product; Discrete mathematics; Multipartite; Bounded function; Graph; Domination analysis; Vertex (graph theory)","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":[0.0006006626,0.0005393079,0.000343728,0.001219739,0.0007918906,0.001235231,0.0004957221,0.0004952533,0.005693091],"category_scores_gemma":[0.003029862,0.0004064495,0.0004756718,0.001136444,0.001409735,0.001649375,0.001043518,0.000893874,0.0009531816],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009692744,"about_ca_system_score_gemma":0.0003587748,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008878032,"about_ca_topic_score_gemma":0.001512045,"domain_scores_codex":[0.9991295,0.0002273612,0.00004060338,0.0002038321,0.0002118338,0.0001867974],"domain_scores_gemma":[0.9972044,0.00143448,0.0003202306,0.0004133379,0.0002894471,0.000338059],"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":[0.0002414438,0.00005419418,0.002065303,0.0002878136,0.00003881232,0.0003206532,0.0004937373,0.02325886,0.009861627,0.8769864,0.009187201,0.07720403],"study_design_scores_gemma":[0.0000308546,0.0001042777,0.001485174,0.00003670471,0.00001397762,0.000544413,0.0001421785,0.03472813,0.003192119,0.9303672,0.02932872,0.0000261971],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4048225,0.004398797,0.5031213,0.0009494051,0.0007614801,0.0002081729,0.001766957,0.001163127,0.0828083],"genre_scores_gemma":[0.8790672,0.00133379,0.09243212,0.0004109854,0.000390524,0.0001837913,0.001535145,0.0002591431,0.02438727],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005693091,"threshold_uncertainty_score":0.01904523,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01510080026683604,"score_gpt":0.2663883572418094,"score_spread":0.2512875569749733,"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."}}