inis 17(11): e1

Research Article

Applying algorithm finding shortest path in the multiple- weighted graphs to find maximal flow in extended linear multicomodity multicost network

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  • @ARTICLE{10.4108/eai.21-12-2017.153499,
        author={Chien Tran Quoc and Hung Ho Van},
        title={Applying algorithm finding shortest path in the multiple- weighted graphs to find maximal flow in extended linear  multicomodity multicost network},
        journal={EAI Endorsed Transactions on Industrial Networks and Intelligent Systems},
        volume={4},
        number={11},
        publisher={EAI},
        journal_a={INIS},
        year={2017},
        month={12},
        keywords={Graph; Network; Multicommodity Multicost flow; Optimization; Linear Programming.},
        doi={10.4108/eai.21-12-2017.153499}
    }
    
  • Chien Tran Quoc
    Hung Ho Van
    Year: 2017
    Applying algorithm finding shortest path in the multiple- weighted graphs to find maximal flow in extended linear multicomodity multicost network
    INIS
    EAI
    DOI: 10.4108/eai.21-12-2017.153499
Chien Tran Quoc1, Hung Ho Van2,*
  • 1: University of Da Nang
  • 2: Quang Nam University
*Contact email: hovanhung@qnamuni.edu.vn

Abstract

The shortest path finding algorithm is used in many problems on graphs and networks. This article will introduce the algorithm to find the shortest path between two vertices on the extended graph. Next, the algorithm finds the shortest path between the pairs of vertices on the extended graph with multiple weights is developed. Then, the shortest path finding algorithms is used to find the maximum flow on the multicommodity multicost extended network is developed in the article [12].