{"id":"W24865198","doi":"","title":"On the vertex distinguishing equitable edge-coloring of graphs.","year":2008,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Vertex (graph theory); Combinatorics; Enhanced Data Rates for GSM Evolution; Edge coloring; Graph coloring; Graph; Computer science; Line graph; Artificial intelligence","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005949351,0.0001296652,0.0001766763,0.00008941641,0.0004596403,0.00005008833,0.0008850935,0.00004816498,0.000007609558],"category_scores_gemma":[0.000395307,0.00009398024,0.00008496678,0.0006256287,0.0001094172,0.000177726,0.0003032438,0.000191413,0.0000324594],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001906877,"about_ca_system_score_gemma":0.00005042073,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007122357,"about_ca_topic_score_gemma":8.855218e-7,"domain_scores_codex":[0.9986759,0.00007245405,0.0002515444,0.0002862212,0.000369446,0.0003443985],"domain_scores_gemma":[0.9984755,0.0005025947,0.0001263913,0.0006905604,0.0001328968,0.00007204013],"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":[0.000003082866,0.0000777153,0.001221552,0.000006308686,0.00001223002,0.000009893458,0.0004631936,0.00004549255,0.0007317662,0.9928374,0.004340997,0.0002503719],"study_design_scores_gemma":[0.0003473466,0.0001267753,0.001189803,0.00006051528,0.000004247063,0.000008675464,0.000015611,0.002152114,0.005541286,0.9902738,0.0001551941,0.0001246555],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9890924,0.0001920359,0.0001658874,0.0004074675,0.002368696,0.000112957,5.929106e-7,0.0001408432,0.00751918],"genre_scores_gemma":[0.9989586,0.00001451144,0.0006613192,0.0002260911,9.331544e-7,0.00001078963,5.812788e-7,0.000009452146,0.0001176949],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009866286,"threshold_uncertainty_score":0.3832403,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02556669807057236,"score_gpt":0.2263534845789802,"score_spread":0.2007867865084079,"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."}}