{"id":"W7030132810","doi":"","title":"The maximum nullity of a complete edge subdivision graph is equal to it zero forcing number","year":2014,"lang":"en","type":"article","venue":"oURspace (University of Regina)","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Banff International Research Station for Mathematical Innovation and Discovery; National Science Foundation","keywords":"Subdivision; Graph; Forcing (mathematics); Rank (graph theory); Enhanced Data Rates for GSM Evolution; Zero (linguistics); Projection (relational algebra); Tree (set theory); Complete graph","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009456303,0.0003787475,0.0006641672,0.001344322,0.001319168,0.001802459,0.0007699559,0.0006989983,0.006091063],"category_scores_gemma":[0.005388229,0.0003352814,0.0005577278,0.0006166606,0.003243763,0.003041718,0.001371012,0.001085331,0.0006511323],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007165563,"about_ca_system_score_gemma":0.0005683927,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008072205,"about_ca_topic_score_gemma":0.001086177,"domain_scores_codex":[0.9992051,0.0001608913,0.0000469993,0.0002169503,0.0001712965,0.0001987713],"domain_scores_gemma":[0.9945785,0.002681836,0.0006055493,0.0008025599,0.000627483,0.0007041806],"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":[0.0004127598,0.00007846247,0.01023304,0.000168268,0.00003807377,0.000167229,0.0006725689,0.009231584,0.02280609,0.924313,0.00363079,0.02824824],"study_design_scores_gemma":[0.00004597981,0.0001539358,0.005341886,0.00003827721,0.00004170848,0.0004758145,0.0004335956,0.02453804,0.01587087,0.9482253,0.004760974,0.00007354991],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9186127,0.0001124999,0.06547719,0.0008250862,0.00004401049,0.00001946563,0.0004724098,0.000200517,0.01423609],"genre_scores_gemma":[0.9831845,0.00008629097,0.01273252,0.00009614958,0.00005026856,0.00002884424,0.0003900705,0.00007355155,0.00335784],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006091063,"threshold_uncertainty_score":0.02037662,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02445970415552445,"score_gpt":0.2583607915366228,"score_spread":0.2339010873810983,"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."}}