{"id":"W2952648278","doi":"10.48550/arxiv.1505.04235","title":"Triangulating planar graphs while keeping the pathwidth small","year":2015,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Pathwidth; Planar graph; Outerplanar graph; Combinatorics; Mathematics; Planar; Planar straight-line graph; 1-planar graph; Discrete mathematics; Graph; Line graph; 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":[0.0005687469,0.0008577282,0.0007102492,0.0007300145,0.001069384,0.001174364,0.001783596,0.0009271857,0.005379573],"category_scores_gemma":[0.003961623,0.0007894697,0.0009581157,0.000998683,0.001559822,0.004297555,0.003294006,0.002161881,0.001369788],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000643371,"about_ca_system_score_gemma":0.0005507877,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001562202,"about_ca_topic_score_gemma":0.002417343,"domain_scores_codex":[0.9992952,0.0001485162,0.00003518047,0.0002034446,0.0001981212,0.0001195043],"domain_scores_gemma":[0.9974766,0.001001282,0.00032551,0.0008445841,0.0002113257,0.0001406863],"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":[0.0003753732,0.0001147576,0.001740317,0.001016501,0.000140729,0.0007391382,0.0007207172,0.2720609,0.07206947,0.4369221,0.009172875,0.2049272],"study_design_scores_gemma":[0.0001050903,0.000176957,0.0006076304,0.0001286711,0.0001349969,0.0007663275,0.0007607991,0.3174377,0.04551559,0.596393,0.03791935,0.00005384519],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2023836,0.0006533582,0.7697301,0.001197783,0.0001265844,0.0001493879,0.0003467121,0.001274323,0.02413805],"genre_scores_gemma":[0.4762528,0.00152379,0.5086814,0.0004433366,0.0001686108,0.0001924744,0.001161807,0.0007760362,0.01079974],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005379573,"threshold_uncertainty_score":0.01799649,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1652076121399514,"score_gpt":0.2235876816376123,"score_spread":0.05838006949766086,"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."}}