{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T17:34:29Z","timestamp":1649007269085},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Inter. Net."],"published-print":{"date-parts":[[2019,6]]},"abstract":"<jats:p> It is known that many networks modeling real-life complex systems are small-word (large local clustering and small diameter) and scale-free (power law of the degree distribution), and very often they are also hierarchical. Although most of the models are based on stochastic methods, some deterministic constructions have been recently proposed, because this allows a better computation of their properties. Here a new deterministic family of hierarchical networks is presented, which generalizes most of the previous proposals, such as the so-called binomial tree. The obtained graphs can be seen as graphs on alphabets (where vertices are labeled with words of a given alphabet, and the edges are defined by a specific rule relating different words). This allows us the characterization of their main distance-related parameters, such as the radius and diameter. Moreover, as a by-product, an efficient shortest-path local algorithm is proposed. <\/jats:p>","DOI":"10.1142\/s0219265919500051","type":"journal-article","created":{"date-parts":[[2019,7,16]],"date-time":"2019-07-16T05:53:41Z","timestamp":1563256421000},"page":"1950005","source":"Crossref","is-referenced-by-count":0,"title":["A Note on a New General Family of Deterministic Hierarchical Networks"],"prefix":"10.1142","volume":"19","author":[{"given":"C.","family":"DALF\u00d3","sequence":"first","affiliation":[{"name":"Departament de Matem\u00e0tica, Universitat de Lleida, Igualada (Barcelona), Catalonia, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. A.","family":"FIOL","sequence":"additional","affiliation":[{"name":"Departament de Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya, Barcelona Graduate School of Mathematics, Barcelona, Catalonia, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2019,7,16]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.3390\/app9010117"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1038\/43601"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1126\/science.286.5439.509"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1038\/nrg1272"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2008.04.018"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1080\/03081080802305381"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/49\/22\/225202"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1016\/0166-218X(92)90135-W"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1038\/35075138"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.67.045103"},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.1093\/comjnl\/bxx094"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.67.026112"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1126\/science.1073374"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.96.042302"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2018.09.149"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1038\/30918"}],"container-title":["Journal of Interconnection Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219265919500051","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,16]],"date-time":"2019-07-16T05:53:42Z","timestamp":1563256422000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219265919500051"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,6]]},"references-count":16,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2019,7,16]]},"published-print":{"date-parts":[[2019,6]]}},"alternative-id":["10.1142\/S0219265919500051"],"URL":"https:\/\/doi.org\/10.1142\/s0219265919500051","relation":{},"ISSN":["0219-2659","1793-6713"],"issn-type":[{"value":"0219-2659","type":"print"},{"value":"1793-6713","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,6]]}}}