- Tytuł:
- Eccentricity of Networks with Structural Constraints
- Autorzy:
-
Krnc, Matjaž
Sereni, Jean-Sébastien
Škrekovski, Riste
Yilma, Zelealem B. - Powiązania:
- https://bibliotekanauki.pl/articles/31348091.pdf
- Data publikacji:
- 2020-11-01
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
eccentricity
network
bipartite graph
complex network
maximum degree - Opis:
- The eccentricity of a node v in a network is the maximum distance from v to any other node. In social networks, the reciprocal of eccentricity is used as a measure of the importance of a node within a network. The associated centralization measure then calculates the degree to which a network is dominated by a particular node. In this work, we determine the maximum value of eccentricity centralization as well as the most centralized networks for various classes of networks including the families of bipartite networks (two-mode data) with given partition sizes and tree networks with fixed number of nodes and fixed maximum degree. To this end, we introduce and study a new way of enumerating the nodes of a tree which might be of independent interest.
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2020, 40, 4; 1141-1162
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki