{"id":"W2950434461","doi":"10.48550/arxiv.math/0512019","title":"Colorful subgraphs in Kneser-like graphs","year":2005,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Generalization; Bipartite graph; Combinatorics; Mathematics; Vertex (graph theory); Chromatic scale; Discrete mathematics; Graph","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":[0.0003333274,0.0003339983,0.0003376046,0.00127781,0.001104689,0.001521454,0.0005720581,0.0006570172,0.004114007],"category_scores_gemma":[0.002395358,0.000508071,0.0004801587,0.001144597,0.001431609,0.002438125,0.00122126,0.0007731532,0.0003833711],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004296348,"about_ca_system_score_gemma":0.0002247086,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007498322,"about_ca_topic_score_gemma":0.001310279,"domain_scores_codex":[0.9996257,0.00008645298,0.00001808717,0.0001196461,0.00009048726,0.00005963119],"domain_scores_gemma":[0.9984903,0.0007454936,0.0002740175,0.0001999971,0.0001244941,0.000165649],"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":[0.00008565905,0.00004754504,0.002182278,0.0001437062,0.00002362087,0.0004839194,0.0007764247,0.009801823,0.007417092,0.960528,0.001999836,0.01651016],"study_design_scores_gemma":[0.00002232127,0.00002871506,0.001420382,0.00002058916,0.00002661632,0.0006877184,0.0002743468,0.02149569,0.002849555,0.9694672,0.003685276,0.00002163473],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8075751,0.0004000112,0.1402316,0.0006496818,0.00004402793,0.00005413907,0.0004137091,0.0008259006,0.0498059],"genre_scores_gemma":[0.9772348,0.000220974,0.01776737,0.0001288128,0.00003449088,0.00005151138,0.0002831387,0.00005292106,0.004225947],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004114007,"threshold_uncertainty_score":0.01376271,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03923175768553431,"score_gpt":0.2696543492115211,"score_spread":0.2304225915259868,"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."}}