{"id":"W2164323648","doi":"10.1016/j.disc.2003.09.015","title":"Enumeration of eulerian and unicursal planar maps","year":2004,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Eulerian path; Mathematics; Valency; Combinatorics; Bipartite graph; Planar; Enumeration; Simple (philosophy); Discrete mathematics; Pure mathematics; Graph; Lagrangian; 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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003506244,0.0002783241,0.0005415106,0.0001024596,0.00009474222,0.00003887997,0.0002428997,0.000133236,0.00001945228],"category_scores_gemma":[0.0007463509,0.0002465484,0.00008842,0.000202969,0.0001534774,0.000201657,0.00008525969,0.0001620945,0.00001549472],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006172998,"about_ca_system_score_gemma":0.00005352603,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006291532,"about_ca_topic_score_gemma":0.000008865966,"domain_scores_codex":[0.9983261,0.00003387263,0.0007129048,0.000240685,0.0004032816,0.0002832207],"domain_scores_gemma":[0.9983793,0.0003648229,0.000446651,0.0005844552,0.0001102673,0.0001145105],"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":[0.000009838237,0.0001768551,0.00001462521,0.0006597458,0.00004706453,0.000005615547,0.003573976,0.00001782405,0.002343067,0.9929299,0.00009303138,0.00012851],"study_design_scores_gemma":[0.0009669498,0.0001242296,0.00001240485,0.0002962319,0.00008899504,0.00003561776,0.001011812,0.0002108993,0.00995262,0.9868977,0.0001421374,0.000260385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6605464,0.0002300186,0.323315,0.0007033364,0.0005811267,0.00148263,0.000123989,0.0004107161,0.01260676],"genre_scores_gemma":[0.6317036,0.00003111573,0.367875,0.00002350862,0.00008521522,0.00002704222,0.00001691402,0.00008090453,0.0001566764],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04456002,"threshold_uncertainty_score":0.9999987,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02551314916711092,"score_gpt":0.2942163599691722,"score_spread":0.2687032108020613,"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."}}