2014Unpublished venueRequires access

Euclidean Steiner Shallow-Light Trees

Shay Solomon

Open publisher page 6 citations

Abstract

A spanning tree that simultaneously approximates a shortest-path tree and a minimum spanning tree is called a shallow-light tree (shortly, SLT). More specifically, an (α, β)-SLT of a weighted undirected graph G = (V, E, w) with respect to a designated vertex rt ∈ V is a spanning tree of G with:

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What this paper is about

A spanning tree that simultaneously approximates a shortest-path tree and a minimum spanning tree is called a shallow-light tree (shortly, SLT). More specifically, an (α, β)-SLT of a weighted undirected graph G = (V, E, w) with respect to a designated vertex rt ∈ V is a spanning tree of G with:

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Available abstract

A spanning tree that simultaneously approximates a shortest-path tree and a minimum spanning tree is called a shallow-light tree (shortly, SLT). More specifically, an (α, β)-SLT of a weighted undirected graph G = (V, E, w) with respect to a designated vertex rt ∈ V is a spanning tree of G with:

Key concepts: Spanning tree, Shortest-path tree, Combinatorics, k-minimum spanning tree, Vertex (graph theory), Euclidean minimum spanning tree, Minimum spanning tree, Steiner tree problem

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