{"id":"W2963607496","doi":"10.1016/j.disc.2017.10.007","title":"On the unimodality of independence polynomials of very well-covered graphs","year":2017,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Unimodality; Mathematics; Combinatorics; Discrete mathematics; Graph; Independent set","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":[0.002053055,0.0008449898,0.001428542,0.003494768,0.00179813,0.00317823,0.002225747,0.001154274,0.007811667],"category_scores_gemma":[0.01522083,0.00106258,0.001117866,0.002934504,0.005148408,0.006541874,0.002406278,0.00499648,0.0006670102],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00189468,"about_ca_system_score_gemma":0.0008805395,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002355627,"about_ca_topic_score_gemma":0.002280087,"domain_scores_codex":[0.9984772,0.0004644915,0.00004024466,0.0003011317,0.0003751443,0.000341822],"domain_scores_gemma":[0.9801404,0.01468517,0.001667117,0.0008082318,0.001093701,0.001605302],"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":[0.0001574168,0.0000847367,0.001342408,0.0001236897,0.00003538987,0.0001082042,0.0005515761,0.007643925,0.001793992,0.9743115,0.003342273,0.01050475],"study_design_scores_gemma":[0.00002061418,0.00001684086,0.001116251,0.00001779993,0.00001688019,0.0001105941,0.00009983785,0.02058073,0.0003468223,0.9768337,0.0008197246,0.00002018418],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.772806,0.001431195,0.1629634,0.003456424,0.0001884061,0.00005357524,0.0008238904,0.0002715461,0.05800558],"genre_scores_gemma":[0.9824193,0.001086672,0.007685763,0.0003741525,0.0006578214,0.00005462528,0.0005612887,0.0001249974,0.007035507],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007811667,"threshold_uncertainty_score":0.02613264,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04967600486227844,"score_gpt":0.3316104686316618,"score_spread":0.2819344637693834,"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."}}