2 papers
math.CO2025
Partitioning triangle-free planar graphs into a forest and a linear forest
Guanwu Liu, Rongxing Xu
Raspaud and Wang conjectured that every triangle-free planar graph can be vertex-partitioned into an independent set and a forest. Independently, Kawarabayashi and Thomassen also r…
math.CO2025
The ratio monotonicity of Eulerian-type polynomials
Jun-Ying Liu, Guanwu Liu, Shi-Mei Ma +1
This paper is motivated by determining the location of modes of some unimodal Eulerian-type polynomials. The notion of ratio monotonicity was introduced by Chen-Xia when they inves…