On Hamiltonian Graphs with Maximal Index
β Scribed by Rowlinson, Peter
- Book ID
- 122700360
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 576 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0195-6698
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π SIMILAR VOLUMES
## Abstract Let __G__ be a graph of order __n__ with exactly one Hamiltonian cycle and suppose that __G__ is maximal with respect to this property. We determine the minimum number of edges __G__ can have.
The square of a graph is obtained by adding additional edges joining all pairs of vertices with distance two in the original graph. P6sa conjectured that if G is a simple graph on n vertices with minimum degree 2n/3, then G contains the square of a hamiltonian cycle. We show that P6sa's conjecture h
By a theorem of the toughness t(G) of a non-hamiitonian maximal planar graph G is less than or equal to 2. Improving a result of , it is shown that the shortness exponent of the class of maximal planar graphs with toughness greater than or equal to ~ is less than 1.