On the identification of vertices using cycles (Q1871370)
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scientific article; zbMATH DE number 1907092
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the identification of vertices using cycles |
scientific article; zbMATH DE number 1907092 |
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On the identification of vertices using cycles (English)
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7 May 2003
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Summary: A set of cycles \(C_1,\dots,C_k\) in a graph \(G\) is said to identify the vertices \(v\) if the sets \(\{j:v\in C_j\}\) are all nonempty and different. In this paper, bounds for the minimum possible \(k\) are given when \(G\) is the graph \(\mathbb{Z}_p^n\) endowed with the Lee or Hamming metric or \(G\) is a complete bipartite graph.
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walk
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Hamilton cycle
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Hamming metric
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