{"id":"W7117419254","doi":"10.61091/ars165-01","title":"Signless Laplacian spectral determinations of the starlike trees <span class=\"math inline\">\\(ST(n, d_1)\\)</span> and the double starlike trees <span class=\"math inline\">\\(H_n(p, p)\\)</span>","year":2025,"lang":"","type":"article","venue":"Ars Combinatoria","topic":"Graph theory and applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Vertex (graph theory); Graph; Degree (music); Tree (set theory); Path graph; Path (computing); Simple graph","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":[0.0001787448,0.0003423889,0.0001974407,0.001395896,0.0007207501,0.001017262,0.0004388583,0.0004378698,0.009655614],"category_scores_gemma":[0.001080445,0.0001740904,0.0002707152,0.0006485209,0.001082052,0.001210421,0.0005476056,0.0006550271,0.001496011],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005355069,"about_ca_system_score_gemma":0.0003386814,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007149203,"about_ca_topic_score_gemma":0.001254543,"domain_scores_codex":[0.9997886,0.00002663331,0.000008494416,0.00006528551,0.00007331488,0.00003777726],"domain_scores_gemma":[0.999562,0.00008106966,0.00006290776,0.00006028149,0.0001280323,0.0001058224],"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":[0.00007309581,0.00006568408,0.001024418,0.000057584,0.000006803504,0.0002077339,0.0004710924,0.003460958,0.02727661,0.9228448,0.008239463,0.03627169],"study_design_scores_gemma":[0.00001651062,0.00005092962,0.003334963,0.00002669301,0.00001209258,0.0005109435,0.0004838609,0.05133422,0.01653808,0.909713,0.01791702,0.00006169682],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5900009,0.0002223052,0.1936726,0.0009239654,0.0003338144,0.00006527108,0.001065713,0.0006560753,0.2130593],"genre_scores_gemma":[0.9404182,0.0001688531,0.03008415,0.0002029098,0.0001305163,0.00004165739,0.0007037963,0.0002771896,0.02797273],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009655614,"threshold_uncertainty_score":0.03230131,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01417958368905303,"score_gpt":0.2587435981275346,"score_spread":0.2445640144384815,"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."}}