English

Multicoloring of cannonball graphs

Combinatorics 2016-01-17 v1

Abstract

The frequency allocation problem that appeared in the design of cellular telephone networks can be regarded as a multicoloring problem on a weighted hexagonal graph, which opened some still interesting mathematical problems. We generalize the multicoloring problem into higher dimension and present the first \jz{approximation} algorithms for multicoloring of so called cannonball graphs.

Keywords

Cite

@article{arxiv.1307.2688,
  title  = {Multicoloring of cannonball graphs},
  author = {Petra Sparl and Rafal Witkowski and Janez Zerovnik},
  journal= {arXiv preprint arXiv:1307.2688},
  year   = {2016}
}
R2 v1 2026-06-22T00:48:46.021Z