Journal
INTERNATIONAL JOURNAL OF CONTROL
Volume -, Issue -, Pages -Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207179.2023.2204969
Keywords
Network science; graph theory; centrality measures; dynamic systems
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This paper reviews classic methods for node ranking and compares their performance in a benchmark network that considers the community-based structure of society. The outcome of the ranking procedure is then used to decide which individuals should be tested, and possibly quarantined, first. Finally, the extension of these ranking methods to weighted graphs is explored, and the importance of weights in a contact network is investigated through a toy model and comparison of node rankings in the context of disease spread.
The ranking of nodes in a network according to their centrality or ``importance'' is a classic problem that has attracted the interest of different scientific communities in the last decades. The COVID-19 pandemic has recently rejuvenated the interest in this problem, as the ranking may be used to decide who should be tested, or vaccinated, first, in a population of asymptomatic individuals. In this paper, we review classic methods for node ranking and compare their performance in a benchmark network that considers the community-based structure of society. The outcome of the ranking procedure is then used to decide which individuals should be tested, and possibly quarantined, first. Finally, we also review the extension of these ranking methods to weighted graphs and explore the importance of weights in a contact network by providing a toy model and comparing node rankings for this case in the context of disease spread.
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