Constructions of Betweenness-Uniform Graphs from Trees

Kód výsledku v 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>
Nalezeny alternativní kódy
RIV/00216208:11320/21:10438386
Výsledek na webu
<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>

Jazyk výsledku
angličtina
Název v původním jazyce
Constructions of Betweenness-Uniform Graphs from Trees
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
Constructions of Betweenness-Uniform Graphs from Trees
Popis výsledku anglicky
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.

Projekt
—
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2021
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Podobné výsledky(10)