English

Connected even factors in the square of essentially 2-edge connected graphs

Combinatorics 2017-09-19 v3

Abstract

In this paper we prove that the square of an essentially 2-edge connected graph with an additional property has a connected even factor with maximum degree at most 4. Moreover we show that, in general, the square of essentially 2-edge connected graph does not contain a connected even factor with bounded maximum degree.

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Cite

@article{arxiv.1412.8709,
  title  = {Connected even factors in the square of essentially 2-edge connected graphs},
  author = {Jan Ekstein and Baoyindureng Wu and Liming Xiong},
  journal= {arXiv preprint arXiv:1412.8709},
  year   = {2017}
}

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11 pages