3 papers
math.CO2026
Symmetries of (3, 6)-Fullerenes
Linda E Green, Yadunand Sreelesh, Vibhu Gomatam
A (3, 6)-fullerene is a cubic planar graph whose faces all have 3 or 6 sides. We give an exact enumeration of (3, 6)-fullerenes with V vertices and each of five possible symmetry t…
math.CO2025
Enumeration formulas for (3, 6)-fullerenes
Linda Green, Yadunand Sreelesh, Saanvi Arora
A -fullerene is a cubic planar graph whose faces all have 3 or 6 sides. We give an exact enumeration of -fullerenes with vertices. We also enumerate -fu…
math.CO2023
Polyhedra with hexagonal and triangular faces and three faces around each vertex
Linda Green, Stellen Li
We analyze polyhedra composed of hexagons and triangles with three faces around each vertex, and their 3-regular planar graphs of edges and vertices, which we call "trihexes". Trih…