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This paper discusses the question whether a network-matroid construction can be modified so that all matroid dependencies are re?ected in the network.We propose a novel construction method for a matroidal network to address this issue.Furthermore,we investigate some properties of the matroidal network based on our construction method.New relations between the matroidal network and its associated matroid are developed through various examples.
This paper discusses the question whether a network-matroid construction can be modified so that all all matroid dependencies are re? Ected in the network.We propose a novel construction method for a matroidal network to address this issue. Stillrther, we investigate some properties of the matroidal network based on our construction method. New relations between the matroidal network and its associated matroid are developed through various examples.