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Soft Computing

Erschienen in:

15.06.2023 | Fuzzy systems and their mathematics

Results on soft graphs and soft multigraphs with application in controlling urban traffic flows

verfasst von: M. Baghernejad, R. A. Borzooei

Erschienen in: Soft Computing | Ausgabe 16/2023

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Abstract

In this paper, first we introduce the notions of size, order, and degree of vertices and edges in a soft graph, and we give some examples for a better understanding of these concepts. Then, we define the fundamental concepts of the adjacency matrix of soft graphs, complement of soft graphs, and regularity based on the degree of vertices of soft graphs, and we investigate some related results. Moreover, we introduce the concept of soft multiset and soft multigraph and define the notions of union, intersection, complement, and sum, and then we investigate the relations among them. Finally, we give an application of soft graphs in controlling urban traffic flows.

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Titel: Results on soft graphs and soft multigraphs with application in controlling urban traffic flows
verfasst von: M. Baghernejad
R. A. Borzooei
Publikationsdatum: 15.06.2023
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 16/2023
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-023-08650-7

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