a b s t r a c t Assume that n and Ξ΄ are positive integers with 3 β€ Ξ΄ < n. Let hc(n, Ξ΄) be the minimum number of edges required to guarantee an n-vertex graph G with minimum degree Ξ΄(G) β₯ Ξ΄ to be hamiltonian connected.
β¦ LIBER β¦
On the Number of Non-Hamiltonian Graphs
β Scribed by P. V. Roldugin
- Book ID
- 111598198
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2004
- Tongue
- English
- Weight
- 135 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
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## Abstract We consider the problem of the minimum number of Hamiltonian cycles that could be present in a Hamiltonian maximal planar graph on __p__ vertices. In particular, we construct a __p__βvertex maximal planar graph containing exactly four Hamiltonian cycles for every __p__ β₯ 12. We also pro