# Note on the weight of paths in plane triangulations of minimum degree 4 and 5

Discussiones Mathematicae Graph Theory (2000)

- Volume: 20, Issue: 2, page 173-180
- ISSN: 2083-5892

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topTomás Madaras. "Note on the weight of paths in plane triangulations of minimum degree 4 and 5." Discussiones Mathematicae Graph Theory 20.2 (2000): 173-180. <http://eudml.org/doc/270652>.

@article{TomásMadaras2000,

abstract = {The weight of a path in a graph is defined to be the sum of degrees of its vertices in entire graph. It is proved that each plane triangulation of minimum degree 5 contains a path P₅ on 5 vertices of weight at most 29, the bound being precise, and each plane triangulation of minimum degree 4 contains a path P₄ on 4 vertices of weight at most 31.},

author = {Tomás Madaras},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {weight of path; plane graph; triangulation; weight; path; plane triangulation},

language = {eng},

number = {2},

pages = {173-180},

title = {Note on the weight of paths in plane triangulations of minimum degree 4 and 5},

url = {http://eudml.org/doc/270652},

volume = {20},

year = {2000},

}

TY - JOUR

AU - Tomás Madaras

TI - Note on the weight of paths in plane triangulations of minimum degree 4 and 5

JO - Discussiones Mathematicae Graph Theory

PY - 2000

VL - 20

IS - 2

SP - 173

EP - 180

AB - The weight of a path in a graph is defined to be the sum of degrees of its vertices in entire graph. It is proved that each plane triangulation of minimum degree 5 contains a path P₅ on 5 vertices of weight at most 29, the bound being precise, and each plane triangulation of minimum degree 4 contains a path P₄ on 4 vertices of weight at most 31.

LA - eng

KW - weight of path; plane graph; triangulation; weight; path; plane triangulation

UR - http://eudml.org/doc/270652

ER -

## References

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