Question: It's an AI problem. Please answer them all. Thanks. Consider the following graph, G ( V , E ) consisting of six nodes and seven
It's an AI problem. Please answer them all. Thanks.
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
This edgecoloring assigns a color to each edge of the graph so that no two adjacent edges have the same color. For example, E and E cannot have the same color because both are adjacent to vertex V but E and E 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 is assigned R In the following table, cross out all the values that would be eliminated by forward checking.
tableEEEEEEERG BRGBRRG BRG BR G BRG B
d Consider that we assign to and have completed constraint propagation. We notice that and have been corrected.
tableEEEEEEERGBRGBRGBG BRG BG BR
Based on the MRV heuristic, what variables might be selected next?
e Consider that we assign R to E G to E and have completed constraint propagation.
Assume we have selected noticed the correction of
tableEEEEEEERG BBGGR G BR B
Based on the LCV heuristic, what value might be selected next?
f Consider that we assign to to but have not done constraint propagation yet.
Cross out all values that would be eliminated by Arc Consistency.
g The following table shows the complete but inconsistent assignment. E is selected to be assigned a new value.
tableEEEEEEERGBGGRG
Based on the MinConflicts algorithm, what values would be chosen next?
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