1978IMA Journal of Applied MathematicsRequires access

Transformations on Spanning Trees

I. Cahit, R. Cahit

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Abstract

In this paper the following problem is considered: given a spanning tree on n vertices, what is the minimum number of edge-deletions and edge-additions needed to transform the spanning tree into an n-vertex (spanning) path? An algorithm is proposed for carrying out this transformation in the minimum number of operations.

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What this paper is about

In this paper the following problem is considered: given a spanning tree on n vertices, what is the minimum number of edge-deletions and edge-additions needed to transform the spanning tree into an n-vertex (spanning) path? An algorithm is proposed for carrying out this transformation in the minimum number of operations.

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Available abstract

In this paper the following problem is considered: given a spanning tree on n vertices, what is the minimum number of edge-deletions and edge-additions needed to transform the spanning tree into an n-vertex (spanning) path? An algorithm is proposed for carrying out this transformation in the minimum number of operations.

Key concepts: Spanning tree, Minimum spanning tree, Shortest-path tree, Minimum degree spanning tree, Combinatorics, Vertex (graph theory), Distributed minimum spanning tree, Enhanced Data Rates for GSM Evolution

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