{"id":"W2069262458","doi":"10.1016/s0012-365x(02)00495-8","title":"On the monotonicity of the broadcast function","year":2003,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":24,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University; Concordia University","funders":"","keywords":"Vertex (graph theory); Mathematics; Combinatorics; Conjecture; Monotonic function; Broadcasting (networking); Graph; Function (biology); Discrete mathematics; Computer science; Computer network","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":[0.005684006,0.0009287215,0.002287901,0.002264626,0.002880214,0.003953133,0.002792334,0.00276939,0.01354363],"category_scores_gemma":[0.04172803,0.001151035,0.001757156,0.002629677,0.006399405,0.0162178,0.003547621,0.006564479,0.002023565],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002532831,"about_ca_system_score_gemma":0.002188823,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003495874,"about_ca_topic_score_gemma":0.00181532,"domain_scores_codex":[0.9966176,0.001454587,0.0001576987,0.0004777381,0.0006895478,0.0006028219],"domain_scores_gemma":[0.9495077,0.04046597,0.001747285,0.002814172,0.004057311,0.001407497],"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":[0.0002000739,0.00004935518,0.0005683529,0.0001370797,0.00001616826,0.000104477,0.0003564507,0.003138695,0.00158806,0.9771145,0.003855863,0.01287093],"study_design_scores_gemma":[0.00004580535,0.00004758308,0.0005802891,0.00006573689,0.00002704147,0.0003125863,0.0001961355,0.02387038,0.001067607,0.9678184,0.005942879,0.00002555118],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2373815,0.004858349,0.5160241,0.01746852,0.0007389437,0.0001571811,0.001172318,0.000575637,0.2216234],"genre_scores_gemma":[0.8730456,0.006257923,0.07470889,0.003182167,0.001652996,0.0003968161,0.00100709,0.0009250215,0.03882349],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01354363,"threshold_uncertainty_score":0.04530799,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02457182327801321,"score_gpt":0.2714664504881405,"score_spread":0.2468946272101273,"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."}}