𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On dominating and spanning circuits in graphs

✍ Scribed by H.J. Veldman


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
680 KB
Volume
124
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Existence of spanning and dominating tra
✍ H. J. Veldman πŸ“‚ Article πŸ“… 1986 πŸ› John Wiley and Sons 🌐 English βš– 445 KB

Let T be a trail of a graph G. T is a spanning trail (S-trail) if T contains all vertices of G. Tis a dominating trail (D-trail) if every edge of G is incident with a t least one vertex of T. A circuit is a nontrivial closed trail. Sufficient conditions involving lower bounds on the degree-sum of v

On circuits in graphs
✍ Mohamed H. El-Zahar πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 196 KB
On removable circuits in graphs and matr
✍ Lemos, Manoel; Oxley, James πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 283 KB

Mader proved that every 2-connected simple graph G with minimum degree d exceeding three has a cycle C, the deletion of whose edges leaves a 2-connected graph. Jackson extended this by showing that C may be chosen to avoid any nominated edge of G and to have length at least d-1. This article proves

Spanning triangulations in graphs
✍ Daniela KΓΌhn; Deryk Osthus πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 467 KB

## Abstract We prove that every graph of sufficiently large order __n__ and minimum degree at least 2__n__/3 contains a triangulation as a spanning subgraph. This is best possible: for all integers __n__, there are graphs of order __n__ and minimum degree ⌈2__n__/3βŒ‰ β€‰βˆ’β€‰1 without a spanning triangul

On circuits and pancyclic line graphs
✍ A. Benhocine; L. Clark; N. KΓΆhler; H. J. Veldman πŸ“‚ Article πŸ“… 1986 πŸ› John Wiley and Sons 🌐 English βš– 649 KB

Clark proved that L(G) is hamiltonian if G is a connected graph of order n 2 6 such that deg u + deg v 2 n -1p(n) for every edge uv of G, where p(n) = 0 if n is even and p(n) = 1 if n is odd. Here it is shown that the bound n -1 -dn) can be decreased to (2n + 1)/3 if every bridge of G is incident wi

On the length of longest dominating cycl
✍ Hoa Vu Dinh πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 719 KB

Vu Dinh, H., On the length of longest dominating cycles in graphs, Discrete Mathematics 121 (1993) 21 l-222. ## A cycle C in an undirected and simple graph if G contains a dominating cycle. There exists l-tough graph in which no longest cycle is dominating. Moreover, the difference of the length