{"id":"W2963002481","doi":"","title":"Lower bounds for algebraic connectivity of graphs in terms of matching number or edge covering number.","year":2016,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph theory and applications","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics; Algebraic connectivity; Matching (statistics); Algebraic number; Enhanced Data Rates for GSM Evolution; Upper and lower bounds; Discrete mathematics; Graph; Connectivity; Line graph; Computer science; Statistics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001380628,0.001566329,0.001116227,0.003595725,0.001112586,0.002470462,0.001986697,0.001313765,0.007536584],"category_scores_gemma":[0.01744317,0.000405118,0.0007845071,0.003372832,0.002350397,0.00695977,0.002046319,0.002402171,0.0006805871],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00158323,"about_ca_system_score_gemma":0.0004970017,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005840556,"about_ca_topic_score_gemma":0.001043138,"domain_scores_codex":[0.9978155,0.0004431012,0.0001049326,0.0005416534,0.0007513306,0.0003435736],"domain_scores_gemma":[0.9797071,0.01597437,0.001691047,0.001152103,0.0008208056,0.0006546167],"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":[0.0006176207,0.0002999472,0.01151825,0.001113485,0.0001983129,0.0004610904,0.00067567,0.08545294,0.02926712,0.7776875,0.007617108,0.08509092],"study_design_scores_gemma":[0.00005998345,0.0004804068,0.0116701,0.0003179425,0.0003340948,0.002325455,0.0004812588,0.236506,0.02629772,0.6963581,0.02502714,0.0001418943],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3291309,0.008840183,0.5515894,0.004057066,0.0002850941,0.0001859003,0.001858143,0.0009761362,0.1030771],"genre_scores_gemma":[0.9272031,0.002971304,0.0647371,0.0002373456,0.0004802065,0.0001964981,0.001213372,0.0001722309,0.002788873],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007536584,"threshold_uncertainty_score":0.02521241,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02384066670819115,"score_gpt":0.305320340464497,"score_spread":0.2814796737563058,"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."}}