The graphs of pyramids are determined by their spectrum

Linear Algebra and its Applications（2024）

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摘要

For natural numbers k1 we refer to Tn,k as a graph of pyramids. We prove that the graphs of pyramids are determined by their spectrum, and that a star Sn is determined by its spectrum iff n is prime. We also show that the graphs Tn,k are completely positive iff k≤2.

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关键词

cospectral graphs,graphs that are determined by their spectrum,graphs of pyramids,star graphs,completely positive graphs,Schur complement

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