{"id":"W4236584536","doi":"10.37236/2302","title":"Colourful Theorems and Indices of Homomorphism Complexes","year":2013,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"Royal Military College of Canada","funders":"Natural Sciences and Engineering Research Council of Canada; Nemzeti Kutatási és Technológiai Hivatal; Hungarian Scientific Research Fund","keywords":"Mathematics; Combinatorics; Clique; Homomorphism; Bipartite graph; Chromatic scale; Discrete mathematics; Order (exchange); Graph","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001199242,0.0001398264,0.0003757139,0.0001039048,0.0001785175,0.00002845359,0.0005060087,0.00007156553,0.00006226538],"category_scores_gemma":[0.0002006965,0.00007887057,0.0001069453,0.0001879071,0.0003260831,0.0001273605,0.00009767935,0.0005341327,9.951351e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004966612,"about_ca_system_score_gemma":0.00009732058,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009402605,"about_ca_topic_score_gemma":0.000001562894,"domain_scores_codex":[0.9985943,0.0001858606,0.0004779286,0.00007208373,0.0003392399,0.0003305297],"domain_scores_gemma":[0.9978162,0.0009069379,0.0007224235,0.0002318378,0.0002632727,0.00005935008],"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":[0.00002723689,0.00006413975,0.0005392269,0.0000289752,0.0001440703,0.000001363261,0.001202416,9.604863e-7,0.000738981,0.9961332,0.0007599343,0.0003594836],"study_design_scores_gemma":[0.0005965985,0.0005091314,0.0009633332,0.0000295871,0.0000903667,0.0002096918,0.0004138747,0.00001705827,0.002583777,0.9940345,0.0004630585,0.00008905942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9935201,0.003642136,0.0007142553,0.0003887513,0.0002413197,0.0001685106,0.000001181321,0.000008665477,0.001315044],"genre_scores_gemma":[0.9990468,0.000660448,0.00006083103,0.0000481597,0.00005427887,0.000001947172,1.701844e-7,0.00001728911,0.000110074],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005526665,"threshold_uncertainty_score":0.3216248,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01079556470925357,"score_gpt":0.2476017217044054,"score_spread":0.2368061569951518,"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."}}