Consider the following graph, G $($V$,$ E$)$ consisting of six nodes and seven undirected edges. This CSP problem is to color each edge using a color from the domain set $\{$R$,$ G$,$ B$\}.$This edge$-$coloring assigns a color to each edge of the graph so that no two adjacent edges have the same color. For example, E$1$ and E$2$ cannot have the same color because both are adjacent to vertex V$1,$ but E$2$ and E$3$ have no restriction because they are not adjacent at any vertex.Consider the following graph, G $($V$,$ E$)$ consisting of six nodes and seven undirected edges. This

CSP problem is to color each edge using a color from the domain set $\{R,G,B\}.$

This edge$-$coloring assigns a color to each edge of the graph so that no two adjacent edges have

the same color. For example, E$1$ and E$2$ cannot have the same color because both are adjacent

to vertex V$1,$ but E$2$ and E$3$ have no restriction because they are not adjacent at any vertex.

a$.$ Draw the constraint graph for this edge coloring CSP$.$ The edge nodes are provided in the

following graph. which is the dual graph of the above graph. Draw the arcs.

b$.$ Select the candidate variables for the first assignment based on the Degree Heuristic.

c$.$ E$3$ is assigned R$.$ In the following table, cross out all the values that would be eliminated by

forward checking.Consider the following graph, G $($V$,$ E$)$ consisting of six nodes and seven undirected edges. This

CSP problem is to color each edge using a color from the domain set $\{R,G,B\}.$

This edge$-$coloring assigns a color to each edge of the graph so that no two adjacent edges have

the same color. For example, E$1$ and E$2$ cannot have the same color because both are adjacent

to vertex V$1,$ but E$2$ and E$3$ have no restriction because they are not adjacent at any vertex.

a$.$ Draw the constraint graph for this edge coloring CSP$.$ The edge nodes are provided in the

following granh. which is the dual graph of the above graph. Draw the arcs.

b$.$ Select the candidate variables for the first assignment based on the Degree Heuristic.

c$.$ E$3$ is assigned R$.$ In the following table, cross out all the values that would be eliminated by

forward checking.