Super edge-antimagic labelings of the generalized Petersen graph P(n, (n-1)/2))

被引:0
|
作者
Baca, Martin
Baskoro, Edy Tri
Simanjuntak, Rinovia
Sugeng, Kiki Ariyanti
机构
[1] Tech Univ, Dept Appl Math, Kosice 04200, Slovakia
[2] Inst Teknol Bandung, Dept Math, Bandung 10, Indonesia
[3] Univ Ballarat, Sch Informat Technol & Math Sci, Ballarat, Vic, Australia
[4] Univ Indonesia, Dept Math, Jakarta, Indonesia
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An (a,d)-edge-antimagic total labeling of G is a one-to-one mapping f taking the vertices and edges onto 1, 2,..., vertical bar V (G)vertical bar + vertical bar E(G)vertical bar so that the edge-weights w(xy) = f(x) + f(y) + f(xy), xy is an element of E(G), form an arithmetic progression with initial term a and common difference d. An (a, d)-edge-antimagic total labeling is called super (a,d)-edge-antimagic total if f(V(G)) = {1, 2,..., vertical bar V(G)vertical bar}. This paper considers such labelings applied to cycles and generalized Petersen graphs.
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页码:119 / 127
页数:9
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