{"paper":{"title":"On the General Randi\\'c index of polymeric networks modelled by generalized Sierpi\\'nski graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Alejandro Estrada-Moreno, Juan A. Rodr\\'iguez-Vel\\'azquez","submitted_at":"2015-10-27T16:50:44Z","abstract_excerpt":"The General Randi\\'c index $R_\\alpha$ of a simple graph $G$ is defined as \\[ R_\\alpha(G)=\\sum_{v_{i}\\sim v_{j}} (\\delta_{i}\\delta_{j})^\\alpha, \\] where $\\delta_i$ denotes the degree of the vertex $v_i$. Rodr\\'iguez-Vel\\'azquez and Tom\\'as-Andreu [MATCH Commun. Math. Comput. Chem. 74 (1) (2015) 145--160] obtained closed formulae for the Randi\\'c index $R_{-1/2}$ of Sierpi\\'nski-type polymeric networks, where the base graph is a complete graph, a triangle-free regular graph or a bipartite semiregular graph. In the present article we obtain closed formulae for the general Randi\\'c index $R_{\\alph"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07982","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}