{"id":"W1660895817","doi":"10.1007/978-3-642-13580-4_1","title":"High Degree Graphs Contain Large-Star Factors","year":2010,"lang":"en","type":"book-chapter","venue":"Bolyai Society mathematical studies","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Lemma (botany); Session (web analytics); Star (game theory); Combinatorics; Degree (music); Graph; Simple (philosophy); Computer science; Graph theory; Theoretical computer science; Mathematics; Discrete mathematics; World Wide Web; Physics; Biology; Botany","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":[0.0011103,0.0009132976,0.001528993,0.0001133315,0.0008248028,0.0001694367,0.002002281,0.0007128827,0.0002862969],"category_scores_gemma":[0.0004600873,0.0006944137,0.001201871,0.0001719656,0.001215212,0.0003293264,0.002200482,0.001824657,0.000384043],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001672708,"about_ca_system_score_gemma":0.00009856498,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002696672,"about_ca_topic_score_gemma":0.00001729699,"domain_scores_codex":[0.9956051,0.00006040746,0.0007891284,0.00111224,0.001356484,0.001076709],"domain_scores_gemma":[0.9953164,0.001938177,0.0003597893,0.001576834,0.0004898337,0.0003189491],"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":[0.000004794857,0.00007266025,0.000007895212,0.000287756,0.0008107708,0.00002215182,0.002396354,3.814635e-7,0.00006289111,0.9932882,0.002391666,0.0006544444],"study_design_scores_gemma":[0.0004079284,0.0001119261,0.00003380068,0.0002203642,0.00007783864,0.000008181669,0.0005355517,0.0001223892,0.0001584102,0.9801745,0.01741291,0.0007361459],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"other","genre_scores_codex":[0.004196936,0.02193882,0.7480968,0.005432579,0.003036801,0.005631496,0.0006543286,0.003759891,0.2072524],"genre_scores_gemma":[0.01304083,0.006074517,0.4549117,0.001435054,0.0006365148,0.0003483654,0.00006826563,0.0005122618,0.5229725],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.3157201,"threshold_uncertainty_score":0.9995507,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07678758911574396,"score_gpt":0.3183262065036169,"score_spread":0.241538617387873,"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."}}