Discussion
What is treewidth?
Answer: B
Treewidth measures how nearly tree like a graph is, and a problem of bounded treewidth is solvable in time exponential in that width and linear in the number of variables. Trees have width one. Path lengths, degrees and search depths are different quantities. A single number capturing the structural difficulty of a graph, and appearing in the exponent of an algorithm's complexity, is exactly the kind of parameter that makes structure exploitable.
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