## Abstract

This paper deals with the problem of labeling the vertices, edges and faces of uniform subdivision of wheel. A weight of a face is the sum of the label of a face and the labels of the vertices and edges surrounding that face. In a super d-antimagic labeling the vertices receive the smallest labels and the weights of all s-sided faces constitute an arithmetic progression of difference d, for each s that appearing in the graph. The paper examines the existence of super d-antimagic labelings of type (1,1,1) for uniform subdivision of wheel for certain differences d.

Original language | English |
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Pages (from-to) | 227-240 |

Number of pages | 14 |

Journal | UPB Scientific Bulletin, Series A: Applied Mathematics and Physics |

Volume | 77 |

Issue number | 2 |

Publication status | Published - 2015 |

Externally published | Yes |

## Keywords

- Plane graph
- d-antimagic labeling
- uniform subdivision of wheel

## ASJC Scopus subject areas

- Physics and Astronomy(all)
- Applied Mathematics

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