{"id":"W4238200461","doi":"10.1002/jgt.20420","title":"Path homomorphisms, graph colorings, and boolean matrices","year":2009,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Combinatorics; Mathematics; Homomorphism; Path (computing); Graph; Constructive; Algebraic number; Chromatic scale; Discrete mathematics; Computer science","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":[],"consensus_categories":[],"category_scores_codex":[0.002594564,0.0002027066,0.0003561873,0.0008891309,0.000224721,0.000179946,0.001256955,0.00007687983,0.00001427193],"category_scores_gemma":[0.0001442236,0.0001610791,0.0002097829,0.0009878011,0.0002568987,0.001109809,0.0001351376,0.000512516,0.000005942748],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002709524,"about_ca_system_score_gemma":0.00006488696,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.564652e-7,"about_ca_topic_score_gemma":3.188854e-7,"domain_scores_codex":[0.9978854,0.0003503663,0.0004902866,0.0002668865,0.0005856381,0.000421429],"domain_scores_gemma":[0.9981455,0.0004092895,0.0004616128,0.0004334592,0.0002517136,0.0002983916],"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":[0.0001837763,0.0001101315,0.0005544804,0.00001424726,0.00005022753,0.0002705349,0.00031505,0.00001855294,0.002088291,0.9558693,0.0003825226,0.04014286],"study_design_scores_gemma":[0.0006294427,0.00093137,0.007455578,0.00007595798,0.00001887092,0.0006232389,0.0001402131,0.00003950132,0.001248231,0.9876849,0.0009591224,0.0001935638],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5791227,0.01882348,0.3944772,0.002078617,0.0006358256,0.0003257409,0.000006586142,0.0001582821,0.004371581],"genre_scores_gemma":[0.9795914,0.001899664,0.01782503,0.0004551859,0.00009302619,0.000001615536,2.510207e-7,0.00001298734,0.0001207969],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4004687,"threshold_uncertainty_score":0.6568615,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01249425815838115,"score_gpt":0.2634158145642281,"score_spread":0.250921556405847,"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."}}