{"id":"W214563378","doi":"","title":"Mutually Independent Hamiltonian Cycles in Some Graphs","year":2012,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph theory and applications","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Hamiltonian path; Hamiltonian (control theory); Combinatorics; Pure mathematics; Graph; Mathematical optimization","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005154654,0.0007399191,0.0007189309,0.002413554,0.003711112,0.00244214,0.001183892,0.001287607,0.007716726],"category_scores_gemma":[0.002179933,0.0009420417,0.0009884816,0.002676733,0.002069835,0.002530101,0.002082378,0.00161196,0.0006096488],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009685096,"about_ca_system_score_gemma":0.0007089765,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001287101,"about_ca_topic_score_gemma":0.002601764,"domain_scores_codex":[0.9992945,0.0001979341,0.00004470433,0.0001465656,0.0001607694,0.0001554971],"domain_scores_gemma":[0.9982799,0.0007626152,0.0003129298,0.000136631,0.0001914142,0.0003164437],"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":[0.00004924511,0.00004143635,0.0006790007,0.00008312851,0.00003646907,0.0004784502,0.0007032243,0.001431066,0.002034765,0.9874364,0.001746967,0.005279823],"study_design_scores_gemma":[0.00003463232,0.00001789301,0.0005886496,0.00002245815,0.0000490934,0.0003403627,0.000369953,0.006091756,0.001128679,0.9873458,0.003991968,0.0000188035],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.802093,0.0009180534,0.08115539,0.001914718,0.0001908281,0.0002048825,0.0006471595,0.0002139792,0.1126619],"genre_scores_gemma":[0.9517432,0.0004788002,0.02476638,0.000417356,0.0001236274,0.0002421445,0.0004437559,0.0001036864,0.02168089],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007716726,"threshold_uncertainty_score":0.02581501,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02674767957038542,"score_gpt":0.2902643326855855,"score_spread":0.2635166531152001,"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."}}