𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Collapsible graphs and Hamiltonian connectedness of line graphs

✍ Scribed by Weihua Yang; Hongjian Lai; Hao Li; Xiaofeng Guo


Book ID
113564827
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
223 KB
Volume
160
Category
Article
ISSN
0166-218X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Hamiltonian line graphs
✍ Richard A. Brualdi; Robert F. Shanny πŸ“‚ Article πŸ“… 1981 πŸ› John Wiley and Sons 🌐 English βš– 358 KB

## Abstract Sufficient conditions on the degrees of a graph are given in order that its line graph have a hamiltonian cycle.

On hamiltonian line graphs
✍ Lane Clark πŸ“‚ Article πŸ“… 1984 πŸ› John Wiley and Sons 🌐 English βš– 191 KB
Cyclic and cliquewise connectedness of l
✍ Christina Zamfirescu πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 189 KB

The connectivity and the line connectivity numbers of a graph and of its line graph are dependent on each other. Another important related notion is the cyclic connectedness, and we establish here a strong relationship between the cyclic connectivity number and the cyclic line connectivity number of

Line graphs of multigraphs and Hamilton-
✍ ZdenΔ›k RyjÑček; Petr VrΓ‘na πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 958 KB

We introduce a closure concept that turns a claw-free graph into the line graph of a multigraph while preserving its (non-)Hamiltonconnectedness. As an application, we show that every 7-connected claw-free graph is Hamilton-connected, and we show that the well-known conjecture by Matthews and Sumner

Line graphs of bipartite graphs with Ham
✍ Francis K. Bell πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 115 KB

It is shown that, if t is an integer !3 and not equal to 7 or 8, then there is a unique maximal graph having the path P t as a star complement for the eigenvalue Γ€2: The maximal graph is the line graph of K m,m if t ΒΌ 2mΓ€1, and of K m,m ΓΎ1 if t ΒΌ 2m. This result yields a characterization of L(G ) wh