This paper generalizes a theorem of Thomassen on paths in planar graphs. As a corollary, it is shown that every 4-connected planar graph has a Hamilton path between any two specified vertices x, y and containing any specified edge other than xy.
On light edges and triangles in projective planar graphs
โ Scribed by Sanders, Daniel P.
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 376 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0364-9024
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โฆ Synopsis
An edge or face of an embedded graph is light if the sum of the degrees of the vertices incident with it is small. This paper parallelizes four inequalities on the number of light edges and light triangles from the plane to the projective plane. Each of the four inequalities is shown to be the best possible.
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