3 citations · 4 across the 5 of their papers we have counts for
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math.CO2022
Simplicial effective resistance and enumeration of spanning trees
Art M. Duval, Woong Kook, Kang-Ju Lee +1
A graph can be regarded as an electrical network in which each edge is a resistor. This point of view relates combinatorial quantities, such as the number of spanning trees, to ele…
math.CO2018
Winding number and Cutting number of Harmonic cycle
Younng-Jin Kim, Woong Kook
A harmonic cycle , also called a discrete harmonic form, is a solution of the Laplace's equation with the combinatorial Laplace operator obtained from the boundary operators of…
math.CO2015★ 3 cited
A weighted cellular matrix-tree theorem, with applications to complete colorful and cubical complexes
Ghodratollah Aalipour, Art M. Duval, Woong Kook +2
We present a version of the weighted cellular matrix-tree theorem that is suitable for calculating explicit generating functions for spanning trees of highly structured families of…