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Embedding products into symmetric products of finite graphs

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Abstract For each positive integer n and a continuum X, we will denote by F n ( X ) the nth-symmetric product of X and by X n the product… Click to show full abstract

Abstract For each positive integer n and a continuum X, we will denote by F n ( X ) the nth-symmetric product of X and by X n the product of X with itself n times. In this paper we study finite graphs X such that X n can be embedded in F n ( X ) . We also present a geometric model of the third symmetric product of a simple triod.

Keywords: products symmetric; symmetric products; product; embedding products; finite graphs; products finite

Journal Title: Topology and its Applications
Year Published: 2018

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