Abstract. Let 𝐼(𝐺;𝑥) denote the independence polynomial of a graph 𝐺. In this paper we study the unimodality properties of 𝐼(𝐺;𝑥) for some composite graphs 𝐺. Given two graphs 𝐺₁ and 𝐺₂, let ...
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US team finds ‘super-polynomial’ problems that even quantum computers can’t crack
Certain quantum phases, such as topological order, are notoriously difficult for computers to identify. The challenge grows with the correlation length, a measure of how far the p ...
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