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On Hamiltonian cycles of power graphs of abelian groups

Combinatorics 2017-05-08 v2 Group Theory

Abstract

In this article we discuss the question of presence of Hamiltonian cycle in the un-directed power graph of a group. In the process we develop weighted Hamiltonian cycle concept and prove a few general results regarding the Hamiltonian question.

Keywords

Cite

@article{arxiv.1505.00584,
  title  = {On Hamiltonian cycles of power graphs of abelian groups},
  author = {Himadri Mukherjee},
  journal= {arXiv preprint arXiv:1505.00584},
  year   = {2017}
}

Comments

20 pages three figures