The problem Monochomatic-Subgraph-Avoidance takes as input two undirected graphs F and G. It asks where F can be colored with two colors (say, red and blue) that does not contain a monochomatic (all-red or all-blue) G as a subgraph. (Note that when G has two nodes and one edge between them, this is equivalent to the 2-coloring problem of asking whether F can be colored so that no neighbors have the same color.) Next, show that Monochomatic-Subgraph-Avoidance is contained in one of the classes in the second level of the polynomial hierarchy. ALso provide an expression using qualifiers. You need to provide a clear expression using the qualifiers
The problem Monochomatic-Subgraph-Avoidance takes as input two undirected graphs F
and G. It asks where F can be colored with two colors (say, red and blue) that does not contain
a monochomatic (all-red or all-blue) G as a subgraph. (Note that when G has two nodes and one
edge between them, this is equivalent to the 2-coloring problem of asking whether F can be colored
so that no neighbors have the same color.)
Next, show that Monochomatic-Subgraph-Avoidance is contained in one of the classes in
the second level of the polynomial hierarchy.
ALso provide an expression using qualifiers.
You need to provide a clear expression using the qualifiers
What is an undirected graph:
An undirected graph is often represented as a set of vertices and a set of edges connecting those vertices. The edges can be represented as a pair of vertices, indicating that there is a connection between them.
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