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Perfect state transfer, graph products and equitable partitions
Perfect state transfer graph products equitable partitions
2010/12/15
We describe new constructions of graphs which exhibit perfect state transfer on continuoustime quantum walks. Our constructions are based on variants of the double cones [8, 3, 2] and the Cartesian gr...
We study the question of polytopality of graphs: when is a given graph the graph of a polytope? We rst review the known necessary conditions for a graph to be polytopal, and we provide several famili...
In this paper, we show that those sequential products which were proposed by Liu and Shen
and Wu in [J. Phys. A: Math. Theor. 42, 185206 (2009), J. Phys. A: Math. Theor. 42, 345203 (2009)] are just u...