{"id":"W2101726701","doi":"","title":"Algebraic Analysis of Vertex-Distinguishing Edge-Colorings","year":2006,"lang":"en","type":"dissertation","venue":"UWSpace (University of Waterloo)","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of Waterloo","keywords":"Vertex (graph theory); Combinatorics; Mathematics; Eigenvalues and eigenvectors; Discrete mathematics; Graph; Physics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00026285,0.0002416752,0.0007019948,0.001238346,0.0001905685,0.00004298144,0.001106711,0.0002575163,0.00003707035],"category_scores_gemma":[0.00003273753,0.0002847851,0.0004508587,0.001740162,0.00008244638,0.0002812957,0.00015722,0.0002178411,0.00001342517],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004301238,"about_ca_system_score_gemma":0.00009121466,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_topic_score_codex":0.06378301,"about_ca_topic_score_gemma":0.02891842,"domain_scores_codex":[0.9983821,0.00005736142,0.0002526602,0.0005563011,0.0004623734,0.0002892189],"domain_scores_gemma":[0.9981701,0.00007598861,0.0006100869,0.0006407955,0.000412878,0.00009016797],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"qualitative","study_design_gemma":"observational","study_design_scores_codex":[0.0004406427,0.001616388,0.02351297,0.003297614,0.01235101,0.0004471997,0.5502697,0.01167537,0.0733853,0.2679184,0.02465105,0.03043438],"study_design_scores_gemma":[0.009436686,0.002134028,0.4025404,0.004875378,0.03006955,0.00001623892,0.168369,0.2136726,0.06697107,0.08955707,0.003529154,0.008828819],"study_design_candidate":"qualitative","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9970301,0.0001857272,0.0002644971,0.0001659831,0.0003872862,0.0001129171,0.00001653353,0.0001164651,0.00172054],"genre_scores_gemma":[0.7594811,0.00004196443,0.01474312,0.00002100292,0.000006616926,4.403659e-7,0.0006032234,0.0000246402,0.2250779],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3819007,"threshold_uncertainty_score":0.9999604,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008712264482093038,"score_gpt":0.1938542400556795,"score_spread":0.1851419755735865,"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."}}