# The structure and existence of 2-factors in iterated line graphs

Michael Ferrara; Ronald J. Gould; Stephen G. Hartke

Discussiones Mathematicae Graph Theory (2007)

- Volume: 27, Issue: 3, page 507-526
- ISSN: 2083-5892

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topMichael Ferrara, Ronald J. Gould, and Stephen G. Hartke. "The structure and existence of 2-factors in iterated line graphs." Discussiones Mathematicae Graph Theory 27.3 (2007): 507-526. <http://eudml.org/doc/270635>.

@article{MichaelFerrara2007,

abstract = {We prove several results about the structure of 2-factors in iterated line graphs. Specifically, we give degree conditions on G that ensure L²(G) contains a 2-factor with every possible number of cycles, and we give a sufficient condition for the existence of a 2-factor in L²(G) with all cycle lengths specified. We also give a characterization of the graphs G where $L^k(G)$ contains a 2-factor.},

author = {Michael Ferrara, Ronald J. Gould, Stephen G. Hartke},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {line graph; 2-factor; iterated line graph; cycle},

language = {eng},

number = {3},

pages = {507-526},

title = {The structure and existence of 2-factors in iterated line graphs},

url = {http://eudml.org/doc/270635},

volume = {27},

year = {2007},

}

TY - JOUR

AU - Michael Ferrara

AU - Ronald J. Gould

AU - Stephen G. Hartke

TI - The structure and existence of 2-factors in iterated line graphs

JO - Discussiones Mathematicae Graph Theory

PY - 2007

VL - 27

IS - 3

SP - 507

EP - 526

AB - We prove several results about the structure of 2-factors in iterated line graphs. Specifically, we give degree conditions on G that ensure L²(G) contains a 2-factor with every possible number of cycles, and we give a sufficient condition for the existence of a 2-factor in L²(G) with all cycle lengths specified. We also give a characterization of the graphs G where $L^k(G)$ contains a 2-factor.

LA - eng

KW - line graph; 2-factor; iterated line graph; cycle

UR - http://eudml.org/doc/270635

ER -

## References

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