{"id":"W4233572056","doi":"10.1002/jgt.20440","title":"Cycles and paths in edge‐colored graphs with given degrees","year":2009,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"ca_institutions":"Royal Military College Saint-Jean","funders":"","keywords":"Colored; Multigraph; Combinatorics; Mathematics; Hamiltonian path; Edge coloring; Graph; Hamiltonian (control theory); Enhanced Data Rates for GSM Evolution; Discrete mathematics; Line graph; Graph power; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00137193,0.0002069299,0.0004497613,0.0005499872,0.0001317971,0.00003541458,0.000276979,0.0001099408,0.0000239317],"category_scores_gemma":[0.0002056901,0.0001291781,0.0001573092,0.0003006136,0.0002739711,0.0002107093,0.00003255079,0.0003959662,2.604694e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001627928,"about_ca_system_score_gemma":0.00002926803,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000105172,"about_ca_topic_score_gemma":0.000009610751,"domain_scores_codex":[0.9985469,0.0002707764,0.0005016254,0.0001475288,0.0002823866,0.0002507698],"domain_scores_gemma":[0.9985756,0.0005630485,0.0004145438,0.0002181704,0.0001108644,0.0001177958],"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":[0.001057699,0.0001577212,0.01059692,0.00003580799,0.0001286417,0.000199372,0.003159418,0.00001178448,0.0004755194,0.9681758,0.0003295815,0.01567175],"study_design_scores_gemma":[0.001075226,0.0006348157,0.06666791,0.000176118,0.00007584802,0.0003514318,0.0008883869,0.000004027324,0.0002819563,0.9296001,0.00007913743,0.0001650781],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9954816,0.001646811,0.0004060792,0.0001912228,0.0001399073,0.0001271928,0.00000306162,0.00001768606,0.001986429],"genre_scores_gemma":[0.9931274,0.0003117706,0.006272448,0.0001662795,0.00006618635,0.000001317366,2.552401e-7,0.00001829958,0.00003602172],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05607099,"threshold_uncertainty_score":0.526773,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01615817366489835,"score_gpt":0.2670299673838781,"score_spread":0.2508717937189797,"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."}}