activity
20212023
most citedBounds for the Twin-width of Graphs

15 citations · 23 across the 8 of their papers we have counts for

collaborators

8 papers

math.CO2023

Note on Hamiltonicity of basis graphs of even delta-matroids

Donggyu Kim, Sang-il Oum

We show that the basis graph of an even delta-matroid is Hamiltonian if it has more than two vertices. More strongly, we prove that for two distinct edges and sharing a com…

quant-ph2023

Preparation of Entangled Many-Body States with Machine Learning

Donggyu Kim, Eun-Gook Moon

Preparation of a target quantum many-body state on quantum simulators is one of the significant steps in quantum science and technology. With a small number of qubits, a few quantu…

math.CO2023

Orthogonal matroids over tracts

Tong Jin, Donggyu Kim

We generalize Baker-Bowler's theory of matroids over tracts to orthogonal matroids, define orthogonal matroids with coefficients in tracts in terms of Wick functions, orthogonal si…

math.CO2022★ 4 cited

Twin-width of random graphs

Jungho Ahn, Debsoumya Chakraborti, Kevin Hendrey +2

We investigate the twin-width of the Erdős-Rényi random graph . We unveil a surprising behavior of this parameter by showing the existence of a constant su…

math.CO2022★ 1 cited

Prime vertex-minors of a prime graph

Donggyu Kim, Sang-il Oum

A graph is prime if it does not admit a partition of its vertex set such that and the rank of the submatrix of its adjacency matrix is…

math.CO2021

Eigenvalues and parity factors in graphs

Donggyu Kim, Suil O

Let be a graph and let be nonnegative integer-valued functions defined on such that and for all . A $(g,f)…

math.CO2021★ 15 cited

Bounds for the Twin-width of Graphs

Jungho Ahn, Kevin Hendrey, Donggyu Kim +1

Bonnet, Kim, Thomassé, and Watrigant (2020) introduced the twin-width of a graph. We show that the twin-width of an -vertex graph is less than $(n+\sqrt{n\ln n}+\sqrt{n}+2\ln n)…

cond-mat.str-el2021★ 3 cited

Advancing Hybrid Quantum-Classical Algorithms via Mean-Operators

Donggyu Kim, Pureum Noh, Hyun-Yong Lee +1

Entanglement in quantum many-body systems is the key concept for future technology and science, opening up a possibility to explore uncharted realms in an enormously large Hilbert…