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math.CO2021
Triple intersection numbers for the Paley graphs
Andries E. Brouwer, William J. Martin
We give a tight bound for the triple intersection numbers of Paley graphs. In particular, we show that any three vertices have a common neighbor in Paley graphs of order larger tha…
quant-ph2021★ 4 cited
Continuous Time Quantum Walks on Graphs: Group State Transfer
Luke C. Brown, William J. Martin, Duncan Wright
We introduce the concept of group state transfer on graphs, summarize its relationship to other concepts in the theory of quantum walks, set up a basic theory, and discuss examples…