922 citations · 7.2k across the 348 of their papers we have counts for
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math.CO2017★ 5 cited
Relationships between cycle spaces, gain graphs, graph coverings, fundamental groups, path homology, and graph curvature
Mark Kempton, Florentin Munch, Shing-Tung Yau
We prove a homology vanishing theorem for graphs with positive Bakry-Émery curvature, analogous to a classic result of Bochner on manifolds \cite{Bochner}. Specifically, we prove t…
math.CO2017★ 2 cited
Pretty good state transfer in graphs with an involution
Mark Kempton, Gabor Lippner, Shing-Tung Yau
We study pretty good quantum state transfer (i.e., state transfer that becomes arbitrarily close to perfect) between vertices of graphs with an involution in the presence of an ene…