2 papers
math.AC2024
Division properties of commuting polynomials
Kimiko Hasegawa, Rin Sugiyama
Polynomials commute under composition are referred to as commuting polynomials. In this paper, we study division properties for commuting polynomials with rational (and integer) co…
math.CO2024
Weighted sums of rooted spanning forests on cycles with pendant edges
Hajime Fujita, Kimiko Hasegawa, Yukie Inaba +1
We derive two formulas for the weighted sums of rooted spanning forests of particular sequence of graphs by using the matrix tree theorem. We consider cycle graphs with edges so ca…