@MISC{Sper_oneuclidean, author = {Ga Sper and Jakli Č and Jolanda Modic}, title = {ON EUCLIDEAN DISTANCE MATRICES OF GRAPHS ∗}, year = {} }
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Abstract
Abstract. In this paper, a relation between graph distance matrices and Euclidean distance matrices (EDM) is considered. It is proven that distance matrices of paths and cycles are EDMs. The proofs are constructive and the generating points of studied EDMs are given in a closed form. A generalization to weighted graphs (networks) is tackled.