Relative edge betweenness centrality
Vukičević, Damir ; Škrekovski, Riste ; Tepeh, Aleksandra
ARS MATHEMATICA CONTEMPORANEA, Tome 12 (2016), / Harvested from ARS MATHEMATICA CONTEMPORANEA
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We introduce a new edge centrality measure - relative edge betweenness γ(uv) = b(uv) /√(c(u)c(v)), where b(uv) is the standard edge betweenness and c(u) is the adjusted vertex betweenness. In this alternative definition, the importance of an edge is normalized with respect to the importance of its end-vertices. This gives a better presentation of the “local” importance of an edge, i.e. its importance in the near neighborhood. We present sharp upper and lower bounds on this invariant together with the characterization of graphs attaining these bounds. In addition, we discuss the bounds for various interesting graph families, and state several open problems.

Publié le : 2016-01-01
DOI : https://doi.org/10.26493/1855-3974.863.169 
@article{863,
     title = {Relative edge betweenness centrality},
     journal = {ARS MATHEMATICA CONTEMPORANEA},
     volume = {12},
     year = {2016},
     doi = {10.26493/1855-3974.863.169},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/863}
}

Vukičević, Damir; Škrekovski, Riste; Tepeh, Aleksandra. Relative edge betweenness centrality. ARS MATHEMATICA CONTEMPORANEA, Tome 12 (2016) . doi : 10.26493/1855-3974.863.169. http://gdmltest.u-ga.fr/item/863/