# Solution to the problem of Kubesa

Discussiones Mathematicae Graph Theory (2008)

- Volume: 28, Issue: 2, page 375-378
- ISSN: 2083-5892

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topMariusz Meszka. "Solution to the problem of Kubesa." Discussiones Mathematicae Graph Theory 28.2 (2008): 375-378. <http://eudml.org/doc/270723>.

@article{MariuszMeszka2008,

abstract = {An infinite family of T-factorizations of complete graphs $K_\{2n\}$, where 2n = 56k and k is a positive integer, in which the set of vertices of T can be split into two subsets of the same cardinality such that degree sums of vertices in both subsets are not equal, is presented. The existence of such T-factorizations provides a negative answer to the problem posed by Kubesa.},

author = {Mariusz Meszka},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {tree; T-factorization; degree sequence; -factorization},

language = {eng},

number = {2},

pages = {375-378},

title = {Solution to the problem of Kubesa},

url = {http://eudml.org/doc/270723},

volume = {28},

year = {2008},

}

TY - JOUR

AU - Mariusz Meszka

TI - Solution to the problem of Kubesa

JO - Discussiones Mathematicae Graph Theory

PY - 2008

VL - 28

IS - 2

SP - 375

EP - 378

AB - An infinite family of T-factorizations of complete graphs $K_{2n}$, where 2n = 56k and k is a positive integer, in which the set of vertices of T can be split into two subsets of the same cardinality such that degree sums of vertices in both subsets are not equal, is presented. The existence of such T-factorizations provides a negative answer to the problem posed by Kubesa.

LA - eng

KW - tree; T-factorization; degree sequence; -factorization

UR - http://eudml.org/doc/270723

ER -

## References

top- [1] D. Froncek and T. Kovarova, Personal communication, 2004-6.
- [2] D. Froncek and M. Kubesa, Problem presented at the Workshop in Krynica 2004, Discuss. Math. Graph Theory 26 (2006) 351.
- [3] N.D. Tan, On a problem of Froncek and Kubesa, Australas. J. Combin. 40 (2008) 237-246. Zbl1139.05052

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