{"id":"W2066238480","doi":"10.1016/j.ejc.2009.09.003","title":"Homomorphisms of random paths","year":2009,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Royal Military College of Canada","funders":"Natural Sciences and Engineering Research Council of Canada; Hungarian Scientific Research Fund; Nemzeti Kutatási és Technológiai Hivatal; National Science Foundation","keywords":"Homomorphism; Mathematics; Path (computing); Combinatorics; Core (optical fiber); Constraint (computer-aided design); Discrete mathematics; Constraint satisfaction problem; Algebra homomorphism; Computer science; Statistics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00179037,0.0008278023,0.001103667,0.003323859,0.002483743,0.004283219,0.001907667,0.001684611,0.01368954],"category_scores_gemma":[0.01177829,0.001048317,0.001727394,0.0019943,0.002949277,0.009066451,0.005171488,0.003913232,0.001750923],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001495884,"about_ca_system_score_gemma":0.0007283915,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005916784,"about_ca_topic_score_gemma":0.000358466,"domain_scores_codex":[0.9969631,0.0009450444,0.0001597256,0.0008854804,0.0006105548,0.0004361329],"domain_scores_gemma":[0.9895514,0.005999265,0.0009988648,0.001209205,0.0007353794,0.001505909],"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":[0.00006039795,0.00003624501,0.0002416589,0.00002964973,0.00001203286,0.0000921247,0.0002923434,0.0005714665,0.0005544982,0.9928479,0.0006874406,0.004574222],"study_design_scores_gemma":[0.0000328601,0.00002724708,0.0002379638,0.00001283185,0.00002019795,0.0002902557,0.0001101735,0.004638154,0.0007242873,0.9909815,0.002905124,0.0000193512],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4820746,0.001066233,0.3826166,0.003436972,0.0006405838,0.0002763066,0.0008971949,0.00180795,0.1271836],"genre_scores_gemma":[0.9141122,0.0006666692,0.03173545,0.0006889628,0.0004803638,0.0002816313,0.0007086141,0.0005530357,0.05077308],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01368954,"threshold_uncertainty_score":0.0457961,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01573909861051956,"score_gpt":0.25282456104128,"score_spread":0.2370854624307604,"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."}}