{"id":"W165089886","doi":"10.1007/978-3-642-40104-6_16","title":"On the Spanning Ratio of Theta-Graphs","year":2013,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"","keywords":"Combinatorics; Disjoint sets; Mathematics; Vertex (graph theory); Graph; Discrete mathematics","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","open_science"],"consensus_categories":[],"category_scores_codex":[0.001513524,0.0004467939,0.0004679999,0.0009155176,0.000316018,0.0003467223,0.005828728,0.0001950019,0.0001005543],"category_scores_gemma":[0.0002688837,0.0002889983,0.0001865391,0.0009797493,0.001706824,0.0005168179,0.001449991,0.001110048,0.0001094966],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001042195,"about_ca_system_score_gemma":0.0003167945,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001025767,"about_ca_topic_score_gemma":0.000007412795,"domain_scores_codex":[0.9961462,0.00009974521,0.0004798906,0.001174066,0.001446877,0.0006532392],"domain_scores_gemma":[0.9945228,0.002339795,0.0003380922,0.002322193,0.0003536354,0.0001235479],"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":[0.000004377984,0.00001483861,0.000008141114,0.00001170786,0.00001238484,0.00001171928,0.0004368164,0.01690729,0.0004069174,0.8330882,0.00003413246,0.1490635],"study_design_scores_gemma":[0.00009516304,0.0001787158,0.0000485944,0.000221228,0.000002973806,0.00001280679,2.151128e-7,0.1478407,0.003746143,0.8473645,0.0002047606,0.0002841974],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0003077806,0.0002543058,0.9848901,0.001174774,0.0006168617,0.0005775189,0.00000260237,0.00007720121,0.01209882],"genre_scores_gemma":[0.7380701,0.00008172868,0.2560246,0.002809173,0.0002602709,0.0000552377,0.000002715549,0.00008322638,0.002612905],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7377623,"threshold_uncertainty_score":0.9999562,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02839443562656725,"score_gpt":0.2754427752379511,"score_spread":0.2470483396113838,"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."}}