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Q87 / 100
What is the Tutte polynomial?
Correct! Well done.
Incorrect.
The correct answer is B) A two-variable polynomial T(G;x,y) encoding all deletion-contraction properties of a graph, specializing to chromatic polynomial, reliability polynomial, and partition function
B
Correct Answer
A two-variable polynomial T(G;x,y) encoding all deletion-contraction properties of a graph, specializing to chromatic polynomial, reliability polynomial, and partition function
Explanation
T(G;x,y) = Σ (x-1)^(r-r(A)) (y-1)^(|A|-r(A)). Specializations: T(G;1+λ,1)=P(G,1+λ) (chromatic), T(G;1,2)=spanning trees, T(G;2,1)=acyclic orientations. #P-hard to compute in general.
Progress
87/100