4 papers · 1 filter
New lower bounds on domination--packing ratios in connected subcubic and cubic graphs
JiSun Huh, Juho Kim
For a graph \(G\), let \(γ(G)\) and \(ρ(G)\) denote its domination number and packing number, respectively. Let \(c_{\mathrm{sub}}\) and \(c_{\mathrm{cub}}\) denote the respective…
Thrall's problem for two rows
JiSun Huh, Woo-Seok Jung, Jang Soo Kim +1
In this paper, we study Thrall's problem for the higher Lie modules . Our main result provides a tableau-theoretic description of the Schur expansion of the character of …
Bounded Littlewood identities with fixed number of odd rows or odd columns
JiSun Huh, Jang Soo Kim, Christian Krattenthaler +1
A Littlewood identity is an identity equating a sum of Schur functions with an infinite product. A bounded Littlewood identity is one where the sum is taken over the partitions wit…
Refinement of Hikita's -positivity theorem via Abreu--Nigro's -functions and restricted modular law
JiSun Huh, Byung-Hak Hwang, Donghyun Kim +2
We study the symmetric functions \( g_{\mm,k}(x;q) \), introduced by Abreu and Nigro for a Hessenberg function \( \mm \) and a positive integer \( k \), which refine the chromatic…