The antimagic graph with a generalization

碩士 === 國立中央大學 === 數學系 === 103 === A graph G is called an antimagic graph if exists an edge labeling with labels 1,2,⋯,|E(G)| such that all vertex sums are distinct. In this paper, Section 1 is the introduction of antimagic graph. In Section 2, we prove that the union of a path and some stars is ant...

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Main Authors: Yan-sheng Huang, 黃衍勝
Other Authors: 林強
Format: Others
Language:en_US
Published: 2015
Online Access:http://ndltd.ncl.edu.tw/handle/3mp67x
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spelling ndltd-TW-103NCU054790032019-10-24T05:19:17Z http://ndltd.ncl.edu.tw/handle/3mp67x The antimagic graph with a generalization Yan-sheng Huang 黃衍勝 碩士 國立中央大學 數學系 103 A graph G is called an antimagic graph if exists an edge labeling with labels 1,2,⋯,|E(G)| such that all vertex sums are distinct. In this paper, Section 1 is the introduction of antimagic graph. In Section 2, we prove that the union of a path and some stars is antimagic. Section 3 is the introduction of antimagic with a generalization, and we prove that cycles, complete graphs, wheels and kites are R-antimagic. 林強 2015 學位論文 ; thesis 30 en_US
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language en_US
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description 碩士 === 國立中央大學 === 數學系 === 103 === A graph G is called an antimagic graph if exists an edge labeling with labels 1,2,⋯,|E(G)| such that all vertex sums are distinct. In this paper, Section 1 is the introduction of antimagic graph. In Section 2, we prove that the union of a path and some stars is antimagic. Section 3 is the introduction of antimagic with a generalization, and we prove that cycles, complete graphs, wheels and kites are R-antimagic.
author2 林強
author_facet 林強
Yan-sheng Huang
黃衍勝
author Yan-sheng Huang
黃衍勝
spellingShingle Yan-sheng Huang
黃衍勝
The antimagic graph with a generalization
author_sort Yan-sheng Huang
title The antimagic graph with a generalization
title_short The antimagic graph with a generalization
title_full The antimagic graph with a generalization
title_fullStr The antimagic graph with a generalization
title_full_unstemmed The antimagic graph with a generalization
title_sort antimagic graph with a generalization
publishDate 2015
url http://ndltd.ncl.edu.tw/handle/3mp67x
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