Axiomatic approach in network science

Axiomatic approach in network science

What makes a node in a graph central? Existing literature offers various metrics to address this question, but many are too contextualised and lack generality. In this project, we take a closer look at current attempts to axiomatize node centrality. We refine existing axioms, adding comprehensive...

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Main Author: Goh, Jeremy Jia Hao
Other Authors: Fedor Duzhin
Format: Final Year Project
Language:English
Published: Nanyang Technological University 2024
Subjects:
Mathematical Sciences
Axiomatic approach
Online Access:https://hdl.handle.net/10356/181298
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1812982024-11-25T15:37:57Z Axiomatic approach in network science Goh, Jeremy Jia Hao Fedor Duzhin School of Physical and Mathematical Sciences FDuzhin@ntu.edu.sg Mathematical Sciences Axiomatic approach What makes a node in a graph central? Existing literature offers various metrics to address this question, but many are too contextualised and lack generality. In this project, we take a closer look at current attempts to axiomatize node centrality. We refine existing axioms, adding comprehensive proofs to strengthen their rigour. By integrating these axioms, we develop an enhanced and improved axiomatic framework for characterising node centrality. Our ultimate goal is to lay a solid theoretical foundation for studying node centrality in complex networks. Bachelor's degree 2024-11-25T01:49:43Z 2024-11-25T01:49:43Z 2024 Final Year Project (FYP) Goh, J. J. H. (2024). Axiomatic approach in network science. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/181298 https://hdl.handle.net/10356/181298 en application/pdf Nanyang Technological University
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Mathematical Sciences
Axiomatic approach
spellingShingle Mathematical Sciences
Axiomatic approach
Goh, Jeremy Jia Hao
Axiomatic approach in network science
description What makes a node in a graph central? Existing literature offers various metrics to address this question, but many are too contextualised and lack generality. In this project, we take a closer look at current attempts to axiomatize node centrality. We refine existing axioms, adding comprehensive proofs to strengthen their rigour. By integrating these axioms, we develop an enhanced and improved axiomatic framework for characterising node centrality. Our ultimate goal is to lay a solid theoretical foundation for studying node centrality in complex networks.
author2 Fedor Duzhin
author_facet Fedor Duzhin
Goh, Jeremy Jia Hao
format Final Year Project
author Goh, Jeremy Jia Hao
author_sort Goh, Jeremy Jia Hao
title Axiomatic approach in network science
title_short Axiomatic approach in network science
title_full Axiomatic approach in network science
title_fullStr Axiomatic approach in network science
title_full_unstemmed Axiomatic approach in network science
title_sort axiomatic approach in network science
publisher Nanyang Technological University
publishDate 2024
url https://hdl.handle.net/10356/181298
_version_ 1816859000473387008

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