The generalized Petersen graph \(P (n, 7)\) is \((\frac{3n+6}{2}, 3)\)-antimagic (Q2831568)
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scientific article; zbMATH DE number 6651209
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The generalized Petersen graph \(P (n, 7)\) is \((\frac{3n+6}{2}, 3)\)-antimagic |
scientific article; zbMATH DE number 6651209 |
Statements
10 November 2016
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\((a
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d)\)-antimagic labeling
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Petersen graph
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vertex labeling
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edge labeling
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The generalized Petersen graph \(P (n, 7)\) is \((\frac{3n+6}{2}, 3)\)-antimagic (English)
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In this paper, the authors discuss an antimagic labeling and investigate the generalized Petersen graph. In the introductory part, the authors give preliminary results which are required to prove the main theorems.NEWLINENEWLINENEWLINESalient features: The authors successfully present the arguments in order to prove \(P\left(n,7\right)\) as a \(\left(\frac{3n+6}{2}, 3\right)\)-antimagic, which is a part of the conjecture of Mirka Miller and Martin Baca. The topic is presented systematically and in an orderly way. Though the task is a tedious one, they take enough patience to make it informative and interesting. The paper is very concise and small. On the whole the paper appears to be a creative and innovative piece of work.NEWLINENEWLINENEWLINE A few suggestions: A minor typing error is found while presenting the name of A. Rosa. References could have been given in alphabetical order.
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