Definition: A set of vertices in an undirected graph where every edge connects at least one vertex. The vertex cover problem is to find a minimum size set and is NP-complete.
See also vertex coloring, covering.
Note: An illustration of vertex cover is posting the least number of polices to watch every street in a city. Clearly police should be at intersections. What's the smallest set of intersections?
To correspond to the vertex cover problem, streets must be straight. A curving street is divided into segments such that at any intersection, a person can see from that intersection to the next. Also, no street goes straight through an intersection.
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Entry modified 2 September 2014.
HTML page formatted Wed Mar 13 12:42:46 2019.
Cite this as:
Paul E. Black, "vertex cover", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 2 September 2014. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/vertexcover.html