{"id":"W5172298","doi":"","title":"A note on the difference between the upper irredundance and independent numbers of a graph.","year":2004,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Graph; Combinatorics; Discrete mathematics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004173884,0.0001352851,0.0001549052,0.0000553077,0.0002368102,0.00008465794,0.0007853228,0.00005530116,0.000001534504],"category_scores_gemma":[0.0000589354,0.00007419888,0.0000612285,0.0004217477,0.0002082844,0.00008437529,0.0002188488,0.0002402815,0.00001098273],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001686856,"about_ca_system_score_gemma":0.00005073768,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001989163,"about_ca_topic_score_gemma":0.000007846993,"domain_scores_codex":[0.9988334,0.00008114367,0.0002049539,0.0002869165,0.0003770202,0.0002166254],"domain_scores_gemma":[0.9987593,0.0003228634,0.0001169646,0.0006682184,0.00006668334,0.00006601778],"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":[0.000003179787,0.000046502,0.008866415,0.000004677006,0.00001589035,0.000001454046,0.0009309785,0.00001566809,0.0003851069,0.9883521,0.00006313336,0.001314914],"study_design_scores_gemma":[0.0004921396,0.0001092933,0.06342764,0.00006225554,0.00000834822,0.000003604059,0.00002361792,0.00006838784,0.0040112,0.9316561,0.00003920463,0.00009819554],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9937095,0.0001341998,0.0007437866,0.004340026,0.0005135452,0.0001753865,0.000001834924,0.00004913103,0.0003325773],"genre_scores_gemma":[0.9990219,0.00002328084,0.0004940733,0.0004152189,0.000001247085,0.00001280797,3.912199e-7,0.000006503275,0.00002451132],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05669597,"threshold_uncertainty_score":0.3025742,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01351885570207717,"score_gpt":0.2309128043171936,"score_spread":0.2173939486151164,"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."}}