{"id":"W2151378894","doi":"10.1007/s00373-010-0929-6","title":"Rigidity and Separation Indices of Graphs in Surfaces","year":2010,"lang":"en","type":"article","venue":"Graphs and Combinatorics","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Embedding; Mathematics; Bounded function; Combinatorics; Rigidity (electromagnetism); Book embedding; 1-planar graph; Euler characteristic; Discrete mathematics; Chordal graph; Graph; Computer science; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003802075,0.00009289541,0.000146716,0.0002181496,0.000083271,0.00006406647,0.0001729479,0.00008139094,0.00000109628],"category_scores_gemma":[0.00001768569,0.0000816195,0.00002310114,0.000620277,0.0001074033,0.0002456321,0.00008708469,0.0001632849,4.148179e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000001540704,"about_ca_system_score_gemma":0.00001763238,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000153258,"about_ca_topic_score_gemma":0.00007415137,"domain_scores_codex":[0.9992577,0.00003015623,0.0001909837,0.0002309987,0.0001548343,0.0001352761],"domain_scores_gemma":[0.9995019,0.00006412058,0.00009380158,0.0002089351,0.00006283869,0.00006834735],"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":[0.000001794413,0.0000602963,0.1250121,0.00001728221,0.000003752719,0.000001383366,0.0003074312,0.000002747396,0.002211494,0.8712029,0.00005214684,0.00112661],"study_design_scores_gemma":[0.0003945555,0.00008671694,0.08993158,0.00001149095,0.000003662464,0.000004816993,0.00002191121,0.002236214,0.001804281,0.9052764,0.0001210803,0.0001072558],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9983978,0.0006363504,0.00008442206,0.0001081145,0.0003595487,0.00007184935,0.000001251396,0.00003893768,0.0003016856],"genre_scores_gemma":[0.9987189,0.0002698215,0.0009634224,0.00002880141,5.526325e-7,0.000003510055,0.000001014395,0.000002906,0.00001110933],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03508054,"threshold_uncertainty_score":0.3328347,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008431144429055935,"score_gpt":0.2363208129038226,"score_spread":0.2278896684747667,"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."}}