{"id":"W4414581250","doi":"10.61091/jcmcc127-12","title":"Toughness and (a,b)-parity factors in graphs","year":2025,"lang":"en","type":"article","venue":"Journal of Combinatorial Mathematics and Combinatorial Computing","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Toughness; Parity (physics); Graph; Interval (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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001668345,0.0002440132,0.0006777906,0.0005130789,0.0002175144,0.0003403478,0.0005561697,0.0001545152,6.960919e-7],"category_scores_gemma":[0.0004034362,0.0002078394,0.0001056158,0.0007886026,0.0001003725,0.0003351558,0.0004512442,0.0004754204,2.794717e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004106763,"about_ca_system_score_gemma":0.0001341991,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002751068,"about_ca_topic_score_gemma":9.964625e-7,"domain_scores_codex":[0.9978995,0.0001171241,0.001005391,0.0002668078,0.0004071736,0.0003039514],"domain_scores_gemma":[0.997971,0.000734562,0.0005421924,0.0002750575,0.0003315854,0.0001456021],"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":[0.00001500452,0.0002861201,0.004159195,0.0001145072,0.00003617615,0.00001350069,0.000875633,0.00001541106,0.0002505153,0.9930453,0.00007598961,0.001112674],"study_design_scores_gemma":[0.002841547,0.0002189731,0.001594201,0.0004318581,0.00002632282,0.00002558543,0.0001761726,0.006469591,0.0007386859,0.9871482,0.0001313106,0.0001975232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9795526,0.0007063181,0.008401355,0.0002892968,0.01032623,0.0001604148,3.705998e-7,0.00004043808,0.000523009],"genre_scores_gemma":[0.9925269,0.00005775037,0.007322271,0.00003968094,0.00003871866,8.166918e-7,2.218377e-7,0.00000899283,0.000004601396],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01297437,"threshold_uncertainty_score":0.8475447,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01304254584774722,"score_gpt":0.2523418597929724,"score_spread":0.2392993139452251,"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."}}