{"id":"W2051202422","doi":"10.1016/j.disc.2007.12.061","title":"Volume requirements of 3D upward drawings","year":2008,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Directed acyclic graph; Mathematics; Combinatorics; Directed graph; Volume (thermodynamics); Upper and lower bounds; Discrete mathematics; Grid; Line (geometry); Geometry; Mathematical analysis","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":[0.0005273075,0.0005955424,0.0008790838,0.001072748,0.000493624,0.001664507,0.00105901,0.001096848,0.01305147],"category_scores_gemma":[0.01033599,0.0005790708,0.0004597398,0.001304704,0.0004384899,0.001601031,0.001245268,0.0005671354,0.00143],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005868758,"about_ca_system_score_gemma":0.0004174357,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001624289,"about_ca_topic_score_gemma":0.001837863,"domain_scores_codex":[0.9983256,0.0003051213,0.0000651243,0.00009941545,0.0009712256,0.0002334521],"domain_scores_gemma":[0.9941486,0.004013659,0.00039235,0.0004076737,0.0007029381,0.0003347676],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001084933,0.0001937026,0.003387677,0.000555579,0.00003074712,0.0007246821,0.0004827265,0.6723005,0.09215693,0.09946697,0.008827893,0.1207877],"study_design_scores_gemma":[0.0000670903,0.000332337,0.003841326,0.00004412319,0.00002784025,0.0007178198,0.0003389102,0.8826327,0.0579002,0.04687199,0.007181773,0.00004393709],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6705584,0.0008139475,0.2554542,0.0008475879,0.000105241,0.0001300361,0.002137689,0.001426128,0.06852669],"genre_scores_gemma":[0.966002,0.0003293127,0.0255754,0.00006488151,0.0000329014,0.00007635074,0.001524299,0.0006233447,0.005771508],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01305147,"threshold_uncertainty_score":0.04366153,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03419053521280606,"score_gpt":0.2676095533470637,"score_spread":0.2334190181342576,"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."}}