๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Longest cycles in threshold graphs

โœ Scribed by N.V.R. Mahadev; U.N. Peled


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
495 KB
Volume
135
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Longest cycles in tough graphs
โœ Jung, H.A.; Wittmann, P. ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 347 KB ๐Ÿ‘ 2 views

In this article, we establish bounds for the length of a longest cycle C in a 2-connected graph G in terms of the minimum degree ฮด and the toughness t. It is shown that C is a Hamiltonian cycle or |C| โ‰ฅ (t + 1)ฮด + t.

Intersections of longest cycles in grid
โœ Menke, B.; Zamfirescu, T.; Zamfirescu, C. ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 292 KB ๐Ÿ‘ 3 views

It is well-known that the largest cycles of a graph may have empty intersection. This is the case, for example, for any hypohamiltonian graph. In the literature, several important classes of graphs have been shown to contain examples with the above property. This paper investigates a (nontrivial) cl

Chords of Longest Cycles in Cubic Graphs
โœ Carsten Thomassen ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 213 KB

We describe a general sufficient condition for a Hamiltonian graph to contain another Hamiltonian cycle. We apply it to prove that every longest cycle in a 3-connected cubic graph has a chord. We also verify special cases of an old conjecture of Sheehan on Hamiltonian cycles in 4-regular graphs and

Longest paths and cycles in bipartite or
โœ Zhang Ke Min ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 430 KB ๐Ÿ‘ 1 views

In this paper we obtain two sufficient conditions, Ore type (Theorem 1) and Dirac type (Theorem 2). on the degrees of a bipartite oriented graph for ensuring the existence of long paths and cycles. These conditions are shown to be the best possible in a sense. An oriented graph is a digraph without

Intersections of Longest Cycles in k-Con
โœ Guantao Chen; Ralph J Faudree; Ronald J Gould ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 279 KB

Let G be a connected graph, where k 2. S. Smith conjectured that every two longest cycles of G have at least k vertices in common. In this note, we show that every two longest cycles meet in at least ck 3ร‚5 vertices, where cr0.2615. ## 1998 Academic Press In this note, we provide a lower bound on