{"id":"W2115949699","doi":"10.5281/zenodo.32320","title":"On The Diameter And Girth Of An Annihilating-Ideal Graph","year":2014,"lang":"en","type":"preprint","venue":"INFM-OAR (INFN Catania)","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Combinatorics; Mathematics; Bipartite graph; Vertex (graph theory); Commutative ring; Graph; Ideal (ethics); Discrete mathematics; Zero divisor; Girth (graph theory); Commutative property","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001559581,0.0008268562,0.001210865,0.003287224,0.001620652,0.003181165,0.001637876,0.001188327,0.003738909],"category_scores_gemma":[0.01061886,0.0006557157,0.0004875194,0.001845258,0.004513303,0.006934375,0.002778471,0.00187681,0.0004202722],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001515502,"about_ca_system_score_gemma":0.0004069353,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005428657,"about_ca_topic_score_gemma":0.0004236854,"domain_scores_codex":[0.999088,0.0002981588,0.0000328023,0.0002508776,0.0001650181,0.0001651181],"domain_scores_gemma":[0.9840189,0.01130869,0.001589863,0.0005473685,0.0005564493,0.001978655],"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":[0.0002392385,0.0000609148,0.006433171,0.0002021281,0.00004162003,0.000228234,0.001191177,0.009273714,0.005701607,0.9649357,0.002407636,0.0092847],"study_design_scores_gemma":[0.00004764791,0.000108163,0.003867385,0.00007400129,0.00006703936,0.0006301274,0.0005437703,0.02877582,0.002519891,0.9583498,0.004961321,0.00005502562],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9031112,0.003699605,0.06201796,0.002907601,0.0001903753,0.00004002733,0.0004682526,0.0001994108,0.0273656],"genre_scores_gemma":[0.9886513,0.001765825,0.006325292,0.0001629598,0.0004494083,0.00004586544,0.0001980364,0.0000799706,0.002321428],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003738909,"threshold_uncertainty_score":0.01250792,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04175267124855782,"score_gpt":0.2838625284203926,"score_spread":0.2421098571718348,"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."}}