The problem is considered under which conditions a 4-connected planar or projective planar graph has a Hamiltonian cycle containing certain prescribed edges and missing certain forbidden edges. The results are applied to obtain novel lower bounds on the number of distinct Hamiltonian cycles that mus
On paths in planar graphs
β Scribed by Sanders, Daniel P.
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 93 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0364-9024
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β¦ Synopsis
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.
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