𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Approximately Counting Hamilton Paths and Cycles in Dense Graphs

✍ Scribed by Dyer, Martin; Frieze, Alan; Jerrum, Mark


Book ID
118178133
Publisher
Society for Industrial and Applied Mathematics
Year
1998
Tongue
English
Weight
265 KB
Volume
27
Category
Article
ISSN
0097-5397

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Hamilton cycles and paths in butterfly g
✍ Stephen A. Wong πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 536 KB

## Abstract A cycle __C__ in a graph __G__ is a __Hamilton cycle__ if __C__ contains every vertex of __G__. Similarly, a path __P__ in __G__ is a __Hamilton path__ if __P__ contains every vertex of __G__. We say that __G__ is __Hamilton__‐__connected__ if for any pair of vertices, __u__ and __v__ o

Generating and Counting Hamilton Cycles
✍ Alan Frieze; Mark Jerrum; Michael Molloy; Robert Robinson; Nicholas Wormald πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 216 KB

Let G be chosen uniformly at random from the set G G r, n of r-regular graphs w x Ε½ . with vertex set n . We describe polynomial time algorithms that whp i find a Ε½ . Hamilton cycle in G, and ii approximately count the number of Hamilton cycles in G.

Hamilton cycle and Hamilton path extenda
✍ Ε tefko MiklaviČ; PrimoΕΎ Ε parl πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 198 KB

## Abstract In this paper the concepts of Hamilton cycle (HC) and Hamilton path (HP) extendability are introduced. A connected graph Ξ“ is __n__‐__HC‐extendable__ if it contains a path of length __n__ and if every such path is contained in some Hamilton cycle of Ξ“. Similarly, Ξ“ is __weakly n__‐__HP‐