{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009049191,0.0004457998,0.0006262968,0.001975776,0.0009641195,0.001525782,0.0007590823,0.00070868,0.002708857],"category_scores_gemma":[0.008175049,0.000685094,0.0004765936,0.001371802,0.002114686,0.003069679,0.001534047,0.0007508683,0.0001872453],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001032429,"about_ca_system_score_gemma":0.0006842633,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001163639,"about_ca_topic_score_gemma":0.001356453,"domain_scores_codex":[0.9989383,0.000310304,0.00008570657,0.0002544221,0.0002349271,0.0001762754],"domain_scores_gemma":[0.992015,0.00485885,0.00123282,0.0005406794,0.0007166989,0.0006359778],"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":[0.0003338159,0.00005726209,0.004240411,0.0002007603,0.00005525553,0.0006211895,0.0007874134,0.02862998,0.01024187,0.9402736,0.001097651,0.01346065],"study_design_scores_gemma":[0.00006496473,0.00005687362,0.001240813,0.0000585474,0.00003039517,0.0004934628,0.0002996645,0.06244375,0.005033141,0.9267138,0.003531819,0.00003267797],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8362709,0.000774265,0.1509889,0.00048565,0.00004040973,0.00007043503,0.0004395985,0.0001636736,0.01076608],"genre_scores_gemma":[0.9657391,0.0003698481,0.03193467,0.00007924891,0.00003459412,0.0000955958,0.0002299904,0.00003443993,0.001482586],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002708857,"threshold_uncertainty_score":0.009061992,"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."}}