The Vertex Cover Problem, Degrees Bounded By 3 (The Vertex Cover Problem)
Revision as of 10:23, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:The Vertex Cover Problem, Degrees Bounded By 3 (The Vertex Cover Problem)}} == Description == A vertex cover of a graph $G$ is a set $C$ of vertices such that every edge of $G$ has at least one endpoint in $C$. The vertex cover problem is to find a minimum-size vertex cover in a given graph $G$. This version of the problem is such that the input graph $G$ has all vertices' degree bounded by 3. == Related Problems == Generalizations: The Vertex Cover...")
Description
A vertex cover of a graph $G$ is a set $C$ of vertices such that every edge of $G$ has at least one endpoint in $C$. The vertex cover problem is to find a minimum-size vertex cover in a given graph $G$. This version of the problem is such that the input graph $G$ has all vertices' degree bounded by 3.
Related Problems
Generalizations: The Vertex Cover Problem
Parameters
No parameters found.
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| J. Chen; L. Liu; and W. Jia. | 2000 | $O(k*{1.2192}^k)$ | $O(k^{3})$ auxiliary? (potentially $O(k^{2})$??) | Exact | Deterministic | Time |