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arXiv · 2403.16197

Distance-critical and distance-redundant graphs

Andrew Steane
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Abstract

If a vertex in a graph can be deleted without affecting distances among the other vertices, we shall say it is distance-redundant. Graphs with all, some or no such vertices are discussed. (The latter class was termed distance-critical by Erdős and Howorka).

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Andrew Steane. 2024-03-24. Distance-critical and distance-redundant graphs. https://arxiv.org/abs/2403.16197

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