On the degree-based topological indices of the Tickysim SpiNNaker Model

Muhammad Imran; Muhammad Kamran Siddiqui; Ali Ahmad; Usman Ali; Nazia Hanif

doi:10.3390/axioms7040073

On the degree-based topological indices of the Tickysim SpiNNaker Model

Muhammad Imran, Muhammad Kamran Siddiqui, Ali Ahmad, Usman Ali, Nazia Hanif

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

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 "read" phase followed by a "write" 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 (TSM) sheet.

Original language	English
Article number	73
Journal	Axioms
Volume	7
Issue number	4
DOIs	https://doi.org/10.3390/axioms7040073
Publication status	Published - Oct 19 2018

Keywords

Degree
Multiple Zagreb indices
Tickysim SpiNNaker Model
Topological indices
Zagreb polynomials

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Mathematical Physics
Logic
Geometry and Topology

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10.3390/axioms7040073

Cite this

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abstract = "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 {"}read{"} phase followed by a {"}write{"} 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 (TSM) sheet.",

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author = "Muhammad Imran and Siddiqui, {Muhammad Kamran} and Ali Ahmad and Usman Ali and Nazia Hanif",

note = "Funding Information: Funding: This research is supported by the Start-Up Research Grant 2016 of United Arab Emirates University (UAEU), Al Ain, United Arab Emirates via Grant No. G00002233, UPAR Grant of UAEU via Grant No. G00002590 and by the Summer Undergraduate Research Experience (SURE) plus 2017 research Grant via Grant No. G00002412. Publisher Copyright: {\textcopyright} 2018 by the authors.",

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AU - Ali, Usman

AU - Hanif, Nazia

N1 - Funding Information: Funding: This research is supported by the Start-Up Research Grant 2016 of United Arab Emirates University (UAEU), Al Ain, United Arab Emirates via Grant No. G00002233, UPAR Grant of UAEU via Grant No. G00002590 and by the Summer Undergraduate Research Experience (SURE) plus 2017 research Grant via Grant No. G00002412. Publisher Copyright: © 2018 by the authors.

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N2 - 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 "read" phase followed by a "write" 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 (TSM) sheet.

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On the degree-based topological indices of the Tickysim SpiNNaker Model

Abstract

Keywords

ASJC Scopus subject areas

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