An edge of a 3-connected graph G is said to be removable if G&e is a subdivision of a 3-connected graph. Holton et al. (1990) proved that every 3-connected graph of order at least five has at least W(|G| +10)Γ6X removable edges. In this paper, we prove that every 3-connected graph of order at least
On the extremal number of edges in hamiltonian connected graphs
β Scribed by Tung-Yang Ho; Cheng-Kuan Lin; Jimmy J.M. Tan; D. Frank Hsu; Lih-Hsing Hsu
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 421 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
π SIMILAR VOLUMES
Sanchis, L.A., Maximum number of edges in connected graphs with a given domination number, Discrete Mathematics 87 (1991) 65-72.
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