{"id":"W2913253550","doi":"10.1002/jgt.22452","title":"On the clique number of the square of a line graph and its relation to maximum degree of the line graph","year":2019,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"Blackberry (Canada); University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Mathematics; Line graph; Perfect graph; Discrete mathematics; Graph; Conjecture; Block graph; Clique number; Cubic graph; Split graph; Clique graph; Graph power; Voltage graph; Pathwidth","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":[0.001788569,0.0006015615,0.001207257,0.002482787,0.001598235,0.002418124,0.001804961,0.001200669,0.006344297],"category_scores_gemma":[0.01689128,0.0005949433,0.0005619378,0.00226345,0.004173109,0.004618818,0.001826052,0.002327698,0.0005649377],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001355043,"about_ca_system_score_gemma":0.0005275651,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002326312,"about_ca_topic_score_gemma":0.001652648,"domain_scores_codex":[0.9987105,0.0004602439,0.00003032296,0.0004102428,0.0001822609,0.0002063794],"domain_scores_gemma":[0.9573355,0.03439975,0.003329254,0.001157654,0.001429708,0.002348162],"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":[0.0009292574,0.0004022961,0.01952021,0.0004512547,0.0001749106,0.0007610911,0.00111153,0.05535766,0.01324357,0.8710926,0.01487357,0.02208204],"study_design_scores_gemma":[0.0001285724,0.0001385344,0.008206563,0.0001091109,0.00008576717,0.0006895803,0.0003845688,0.2992004,0.003017641,0.6823325,0.005598159,0.0001086619],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8127904,0.003338952,0.1331292,0.007362898,0.0004385028,0.0000782209,0.0009667318,0.0002468939,0.04164809],"genre_scores_gemma":[0.9857115,0.0009215025,0.009963922,0.0003052035,0.0006694832,0.00007392451,0.0002915546,0.00007689198,0.001986107],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006344297,"threshold_uncertainty_score":0.02122378,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02581673167369727,"score_gpt":0.2940536123934432,"score_spread":0.2682368807197459,"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."}}