Super d-anti-magic labeling of subdivided $kC_{5}$
Author(s) -
Muhammad Hussain,
Ali Tabraiz
Publication year - 2015
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1501-45
Subject(s) - mathematics , combinatorics , vertex (graph theory) , graph , graph labeling , magic (telescope) , planar graph , edge graceful labeling , discrete mathematics , graph power , physics , line graph , quantum mechanics
A graph $(G=(V,E,F))$ admits labeling of type $(1,1,1)$ if we assign labels from the set $ \{1, 2, 3, . . . , |V (G)| +|E(G)| + |F(G)| \}$ to the vertices, edges, and faces of a planar graph $G$ in such a way that each vertex, edge, and face receives exactly one label and each number is used exactly once as a label and the weight of each face under the mapping is the same. Super $d$-antimagic labeling of type $(1,1,1)$ on snake $kC_{5}$, subdivided $kC_{5}$ as well as ismorphic copies of $kC_{5}$ for string $(1,1,...,1)$ and string $(2,2,...,2)$ is discussed in this paper.
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