{"id":"W3117130829","doi":"10.1007/s00373-022-02487-x","title":"On the Unimodality of Domination Polynomials","year":2022,"lang":"en","type":"article","venue":"Graphs and Combinatorics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Unimodality; Mathematics; Combinatorics; Multipartite; Domination analysis; Graph; Polynomial; Cardinality (data modeling); Discrete mathematics; Vertex (graph theory)","routes":{"ca_aff":true,"ca_fund":true,"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":[0.002223957,0.0006009277,0.001115653,0.003091346,0.001948937,0.00361478,0.001634929,0.001046267,0.009929216],"category_scores_gemma":[0.01555233,0.0006904642,0.0006667837,0.003431888,0.005320292,0.007426035,0.002687934,0.004839261,0.0008157778],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002065005,"about_ca_system_score_gemma":0.000867246,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002452854,"about_ca_topic_score_gemma":0.002191573,"domain_scores_codex":[0.998665,0.0004151143,0.00004514937,0.0002891083,0.0002960594,0.0002895716],"domain_scores_gemma":[0.9809498,0.01523279,0.0009328388,0.0008273571,0.001109705,0.0009474349],"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":[0.00007067242,0.0000399503,0.0005942207,0.00006035244,0.000009831026,0.00006107755,0.0003510196,0.002275016,0.0007969738,0.9823226,0.00180757,0.01161067],"study_design_scores_gemma":[0.00000780817,0.000007213186,0.0002740507,0.00001192113,0.000005729373,0.00005475221,0.00006486812,0.005766654,0.0001949249,0.9927062,0.0008962952,0.000009582732],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5856719,0.004204774,0.2330974,0.008174653,0.0003441641,0.00005353815,0.0007460876,0.0003287719,0.1673787],"genre_scores_gemma":[0.9725945,0.001763077,0.01016457,0.0005997079,0.0006672047,0.0000429113,0.0002640477,0.0001162642,0.01378763],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009929216,"threshold_uncertainty_score":0.03321654,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01729599098283296,"score_gpt":0.2514579524417743,"score_spread":0.2341619614589414,"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."}}