This paper introduces the notions of chained and semi-chained graphs. The chain of a graph, when existent, refines the notion of bipartivity and conveys important structural information. Also the notion of a center vertex vc is introduced. It is a vertex, whose sum of p powers of distances to all other vertices in the graph is minimal, where the distance between a pair of vertices { vc, v} is measured by the minimal number of edges that have to be traversed to go from vc to v. This concept extends the definition of closeness centrality. Applications in which the center node is important include information transmission and city planning. Algorithms for the identification of approximate central nodes are provided and computed examples are presented.
Chained graphs and some applications
Rodriguez G.;
2021-01-01
Abstract
This paper introduces the notions of chained and semi-chained graphs. The chain of a graph, when existent, refines the notion of bipartivity and conveys important structural information. Also the notion of a center vertex vc is introduced. It is a vertex, whose sum of p powers of distances to all other vertices in the graph is minimal, where the distance between a pair of vertices { vc, v} is measured by the minimal number of edges that have to be traversed to go from vc to v. This concept extends the definition of closeness centrality. Applications in which the center node is important include information transmission and city planning. Algorithms for the identification of approximate central nodes are provided and computed examples are presented.File | Dimensione | Formato | |
---|---|---|---|
chain21.pdf
accesso aperto
Tipologia:
versione editoriale (VoR)
Dimensione
4.59 MB
Formato
Adobe PDF
|
4.59 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.