English

A new labeling construction from the $\otimes_h$-product

Combinatorics 2016-07-26 v1

Abstract

The h\otimes_h-product that refers the title was introduced in 2008 as a generalization of the Kronecker product of digraphs. Many relations among labelings have been obtained since then, always using as a second factor a family of super edge-magic graphs with equal order and size. In this paper, we introduce a new labeling construction by changing the role of the factors. Using this new construction the range of applications grows up considerably. In particular, we can increase the information about magic sums of cycles and crowns.

Keywords

Cite

@article{arxiv.1607.07313,
  title  = {A new labeling construction from the $\otimes_h$-product},
  author = {Susana-Clara López and Francesc-Antoni Muntaner-Batle and Mohan Prabu},
  journal= {arXiv preprint arXiv:1607.07313},
  year   = {2016}
}

Comments

10 pages. arXiv admin note: text overlap with arXiv:1602.01337