2 papers
math.CO2026
Sparse String Graphs and Region Intersection Graphs over Minor-Closed Classes have Linear Expansion
Nikolai Karol, David R. Wood
We prove that sparse string graphs in a fixed surface have linear expansion. We extend this result to the more general setting of sparse region intersection graphs over any proper…
math.CO2024
Triangle-free graphs with diameter 2
Alice Devillers, Nina KamÄev, Brendan McKay +5
There are finitely many graphs with diameter and girth 5. What if the girth 5 assumption is relaxed? Apart from stars, are there finitely many triangle-free graphs with diamete…