{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,22]],"date-time":"2025-10-22T04:45:12Z","timestamp":1761108312943,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2018,10,19]],"date-time":"2018-10-19T00:00:00Z","timestamp":1539907200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100006013","name":"United Arab Emirates University","doi-asserted-by":"publisher","award":["G00002233","G00002590"],"award-info":[{"award-number":["G00002233","G00002590"]}],"id":[{"id":"10.13039\/501100006013","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Tickysim is a clock tick-based simulator for the inter-chip interconnection network of the SpiNNaker architecture. Network devices such as arbiters, routers, and packet generators store, read, and write forward data through fixed-length FIFO buffers. At each clock tick, every component executes a \u201cread\u201d phase followed by a \u201cwrite\u201d phase. The structures of any finite graph which represents numerical quantities are known as topological indices. In this paper, we compute degree-based topological indices of the Tickysim SpiNNaker Model (    T S M    ) sheet.<\/jats:p>","DOI":"10.3390\/axioms7040073","type":"journal-article","created":{"date-parts":[[2018,10,19]],"date-time":"2018-10-19T10:08:02Z","timestamp":1539943682000},"page":"73","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["On the Degree-Based Topological Indices of the Tickysim SpiNNaker Model"],"prefix":"10.3390","volume":"7","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2827-0462","authenticated-orcid":false,"given":"Muhammad","family":"Imran","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, United Arab Emirates University, Al Ain, P.O. Box 15551, UAE"},{"name":"Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2607-4847","authenticated-orcid":false,"given":"Muhammad Kamran","family":"Siddiqui","sequence":"additional","affiliation":[{"name":"Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Punjab 57000, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3434-9908","authenticated-orcid":false,"given":"Ali","family":"Ahmad","sequence":"additional","affiliation":[{"name":"College of Computer Science &amp; Information Systems, Jazan University, Jazan 45142, Saudi Arabia"}]},{"given":"Usman","family":"Ali","sequence":"additional","affiliation":[{"name":"Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University Multan, Multan 60800, Pakistan"}]},{"given":"Nazia","family":"Hanif","sequence":"additional","affiliation":[{"name":"Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University Multan, Multan 60800, Pakistan"}]}],"member":"1968","published-online":{"date-parts":[[2018,10,19]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/j.future.2018.04.050","article-title":"Multi-threaded learning control mechanism for neural networks","volume":"87","author":"PoLap","year":"2018","journal-title":"Future Gener. 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