Constructions of Betweenness-Uniform Graphs from Trees

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F21%3A00545088" target="_blank" >RIV/67985807:_____/21:00545088 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/21:10438386
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-030-83823-2_117" target="_blank" >http://dx.doi.org/10.1007/978-3-030-83823-2_117</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-83823-2_117" target="_blank" >10.1007/978-3-030-83823-2_117</a>

Result language
angličtina
Original language name
Constructions of Betweenness-Uniform Graphs from Trees
Original language description
Betweenness centrality is a measure of the importance of a vertex x inside a network based on the fraction of shortest paths passing through x. We study a blow-up construction that has been shown to produce graphs with uniform distribution of betweenness. We disprove the conjecture about this procedure’s universality by showing that trees with a diameter at least three cannot be transformed into betweenness-uniform by the blow-up construction. It remains open to characterize graphs for which the blow-up construction can produce betweenness-uniform graphs.
Czech name
—
Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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