{"id":"W4386857812","doi":"10.1016/j.procs.2023.08.244","title":"Graphs with constant balancing number","year":2023,"lang":"en","type":"article","venue":"Procedia Computer Science","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Combinatorics; Constant (computer programming); Edge coloring; Graph; Graph coloring; Computer science; Upper and lower bounds; Mathematics; Exponential function; 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":[0.0004139918,0.0006071294,0.0006235416,0.001100716,0.001778416,0.001673756,0.001010138,0.001074688,0.006127225],"category_scores_gemma":[0.004475111,0.0005336076,0.0005184702,0.001478277,0.001330437,0.003920979,0.001209333,0.0011217,0.0008355957],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001384636,"about_ca_system_score_gemma":0.0004619309,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001151633,"about_ca_topic_score_gemma":0.001186122,"domain_scores_codex":[0.9992443,0.0001219371,0.00002830913,0.0002512809,0.0001975345,0.0001566226],"domain_scores_gemma":[0.9972128,0.001224644,0.0004983199,0.0004634355,0.000278705,0.0003221093],"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":[0.0006501038,0.0001384641,0.005391591,0.0003918271,0.00008315338,0.0006191885,0.0007467835,0.05821841,0.0379967,0.8357109,0.008129983,0.05192282],"study_design_scores_gemma":[0.00007781797,0.0001541373,0.003418182,0.00005974704,0.00004758509,0.001093063,0.0002955826,0.08698352,0.008982829,0.8790695,0.01977137,0.00004661161],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7759363,0.001226885,0.1767406,0.001500378,0.0001555263,0.00009282347,0.001054999,0.0007800157,0.04251248],"genre_scores_gemma":[0.9493668,0.0006343102,0.03558254,0.000373033,0.0001618862,0.000138164,0.0009842,0.0001914387,0.01256765],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006127225,"threshold_uncertainty_score":0.02049768,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01996392386131091,"score_gpt":0.2805415805631455,"score_spread":0.2605776567018346,"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."}}