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- Title
Weighted trapping time of weighted directed treelike network.
- Authors
Dai, Meifeng; Hou, Yongbo; Ju, Tingting; Dai, Changxi; Sun, Yu; Su, Weiyi
- Abstract
With the deepening of research on complex networks, many properties of complex networks are gradually studied, for example, the mean first-passage times, the average receive times and the trapping times. In this paper, we further study the average trapping time of the weighted directed treelike network constructed by an iterative way. Firstly, we introduce our model inspired by trade network, each edge e i , j in undirected network is replaced by two directed edges with weights w i , j and w j , i . Then, the trap located at central node, we calculate the weighted directed trapping time (WDTT) and the average weighted directed trapping time (AWDTT). Remarkably, the WDTT has different formulas for even generations and odd generations. Finally, we analyze different cases for weight factors of weighted directed treelike network.
- Subjects
TIME; TRAPPING; EDGES (Geometry)
- Publication
International Journal of Modern Physics C: Computational Physics & Physical Computation, 2020, Vol 31, Issue 08, pN.PAG
- ISSN
0129-1831
- Publication type
Article
- DOI
10.1142/S0129183120501089