2 papers
math.CO2026
The resonance graphs of coronoid systems and nanotubes
Lingmei Liang, Heping Zhang
The resonance graph of a hexagonal system is connected, which shows that a perfect matching can be transformed into any other perfect matchings by a series of flips along hexagons.…
math.CO2026
The matching extendability of optimal 2-planar graphs
Xinyao Li, Heping Zhang
A graph is 2-planar if it can be drawn in the plane such that each edge is crossed by at most two other edges. It is known that for a 2-planar graph , .…