English

Algorithmic complexity of proper labeling problems

Discrete Mathematics 2017-01-25 v1

Abstract

A proper labeling of a graph is an assignment of integers to some elements of a graph, which may be the vertices, the edges, or both of them, such that we obtain a proper vertex coloring via the labeling subject to some conditions. The problem of proper labeling offers many variants and received a great interest during recent years. We consider the algorithmic complexity of some variants of the proper labeling problems, we present some polynomial time algorithms and NP \mathbf{NP} -completeness results for them.

Keywords

Cite

@article{arxiv.1701.06669,
  title  = {Algorithmic complexity of proper labeling problems},
  author = {Ali Dehghan and Mohammad-Reza Sadeghi and Arash Ahadi},
  journal= {arXiv preprint arXiv:1701.06669},
  year   = {2017}
}
R2 v1 2026-06-22T17:57:59.254Z