activity
20152026
most citedA weighted cellular matrix-tree theorem, with applications to complete colorful and cubical complexes

3 citations · 4 across the 5 of their papers we have counts for

collaborators

5 papers

cs.AI2026

AI Engram: In Search of Memory Traces in Artificial Intelligence

Jea Kwon, Dong-Kyum Kim, Jiwon Kim +3

Memory formation is fundamental to intelligence, yet whether deep neural networks preserve identifiable memory traces analogous to biological memory units remains an open question.…

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…

q-fin.ST2020★ 1 cited

Investigation of Flash Crash via Topological Data Analysis

Wonse Kim, Younng-Jin Kim, Gihyun Lee +1

Topological data analysis has been acknowledged as one of the most successful mathematical data analytic methodologies in various fields including medicine, genetics, and image ana…

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…