Super d-anti-magic labeling of subdivided kC5
Super d-anti-magic labeling of subdivided kC5
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 kC5 , subdivided kC5 as well as ismorphic copies of kC5 for string (1, 1, ..., 1) and string (2, 2, ..., 2) is discussed in this paper.
___
- [1] Baca M. On magic and consecutive labelings for the special classes of plane graphs. Utilitas Mathematica 1987; 32: 5965.
- [2] Baca M. On magic labelings of grid graphs. Ars Combinatoria 1992; 33: 295299.
- [3] Baca M. On magic labelings of honeycomb. Discrete Math 1992; 105: 305311.
- [4] Baca M. On magic labelings of M¨obius ladders. J Franklin Inst 1989; 326: 885888.
- [5] Baca M. On magic labelings of type (1,1,1) for three classes of plane graphs. Math Slovaca 1989; 39: 233239.
- [6] Baca M. Labelings of m-antiprisms. Ars Combinatoria 1989; 28: 242245.
- [7] Baca M. Labelings of two classes of convex polytopes. Utilitas Mathematica 1988; 34: 2431.
- [8] Baca M. On magic labelings of m-prisms. Math Slovaca 1990; 40: 1114.
- [9] Baca M. Labelings of two classes of plane graphs. Acta Math Appl Sinica 1993; 9: 8287.
- [10] Baca M. On magic labelings of type (1,1,1) for the special class of plane graphs. J Franklin Inst 1992; 329: 549553.
- [11] Baca M. On magic labelings of convex polytopes. Ann Disc Math 1992; 51: 1316.
- [12] Baca M, Holl´ander I. Labelings of a certain class of convex polytopes. J. Franklin Inst 1992; 329: 539547.
- [13] Baca M, Numan M, Kashif M. Super face anti labeling of union of antiprism. Mathematics in Computer Science 2013; 7: 245252.
- [14] Barientos C. Difference vertex labelings, PhD Thesis, Universitat Po-litecnica De Catalunya. Spain 2004.
- [15] Siddiqui MK, Numan M, Umar MA. Face Antimagic Labeling of Jahangir Graph. Mathematics in Computer Science 2013: 17.
- [16] Ali K, Hussain M, Ahmed A, Miller M. Magic labelings of type (a,b,c) of families of wheels. Mathematics in Computer in Science 2013; 7: 315319.
- [17] Lih KW. On magic and consecutive labelings of plane graphs. Utilitas Mathematica 1983; 24: 165197.
- [18] Gallian JA. A dynamic survey of graph labeling. Electron J Comb 2014; 17: DS6.
- [19] Rosa A. Cyclic steiner triple systems and labelings of triangular cacti. Sci Ser A Math Sci (N. S.) 1998; 1: 8795.