{"id":"W4396234469","doi":"10.61091/jcmcc119-04","title":"Equi Neighbor Polynomial of Some Binary Graph Operations","year":2024,"lang":"en","type":"article","venue":"Journal of Combinatorial Mathematics and Combinatorial Computing","topic":"Graph theory and applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Binary number; Combinatorics; Mathematics; Graph; Discrete mathematics; Computer science; Arithmetic","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":[0.0002761919,0.0002200339,0.0003141802,0.0008711846,0.0005714467,0.0008574055,0.0004203085,0.0002560367,0.004698365],"category_scores_gemma":[0.001291862,0.0001063032,0.0003269176,0.0009472562,0.0009973922,0.001606998,0.000773623,0.000819961,0.0004638934],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001057109,"about_ca_system_score_gemma":0.0004584472,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001293929,"about_ca_topic_score_gemma":0.001565616,"domain_scores_codex":[0.9995518,0.00005056822,0.00002157799,0.00009981428,0.0001482791,0.0001279172],"domain_scores_gemma":[0.9995744,0.0001325619,0.00007600857,0.00005531292,0.00009024167,0.0000714846],"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":[0.0001674143,0.000130976,0.0008162582,0.000099616,0.000007701954,0.0001352638,0.0003771567,0.006363118,0.006092875,0.9154873,0.002858086,0.06746442],"study_design_scores_gemma":[0.00005495661,0.0002146234,0.003073314,0.0000243041,0.00002193993,0.0006247179,0.000334286,0.07736355,0.01281917,0.8860804,0.01934386,0.00004482743],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8117515,0.0003259589,0.09797521,0.000576693,0.00008268607,0.0000544637,0.0004225049,0.0002220374,0.088589],"genre_scores_gemma":[0.9663121,0.0002565625,0.01874169,0.00013284,0.00008692068,0.00003920991,0.0003838106,0.00009101394,0.01395587],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004698365,"threshold_uncertainty_score":0.01571763,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02327511577025709,"score_gpt":0.2963936031879226,"score_spread":0.2731184874176655,"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."}}