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題名 Cartesian Products of Some Regular Graphs Admitting Antimagic Labeling for Arbitrary Sets of Real Numbers
作者 張宜武
Chang, Yi-Wu
Liu, Shan-Pang
貢獻者 應數系
日期 2021-11
上傳時間 2022-10-07
摘要 An edge labeling of graph G with labels in A is an injection from E(G) to A, where E(G) is the edge set of G, and A is a subset of R. A graph G is called R-antimagic if for each subset A of R with |A| = |E(G)|, there is an edge labeling with labels in A such that the sums of the labels assigned to edges incident to distinct vertices are different. The main result of this paper is that the Cartesian products of complete graphs (except K1) and cycles are R-antimagic.
關聯 Journal of Mathematics, Vol.2021, Article ID 4627151
資料類型 article
DOI https://doi.org/10.1155/2021/4627151
dc.contributor 應數系
dc.creator (作者) 張宜武
dc.creator (作者) Chang, Yi-Wu
dc.creator (作者) Liu, Shan-Pang
dc.date (日期) 2021-11
dc.date.accessioned 2022-10-07-
dc.date.available 2022-10-07-
dc.date.issued (上傳時間) 2022-10-07-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/142231-
dc.description.abstract (摘要) An edge labeling of graph G with labels in A is an injection from E(G) to A, where E(G) is the edge set of G, and A is a subset of R. A graph G is called R-antimagic if for each subset A of R with |A| = |E(G)|, there is an edge labeling with labels in A such that the sums of the labels assigned to edges incident to distinct vertices are different. The main result of this paper is that the Cartesian products of complete graphs (except K1) and cycles are R-antimagic.
dc.format.extent 100 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Journal of Mathematics, Vol.2021, Article ID 4627151
dc.title (題名) Cartesian Products of Some Regular Graphs Admitting Antimagic Labeling for Arbitrary Sets of Real Numbers
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1155/2021/4627151
dc.doi.uri (DOI) https://doi.org/10.1155/2021/4627151