2 papers
math.CO2025
Halfway to induced saturation for even cycles
Xinyue Fan, Sahab Hajebi, Sepehr Hajebi +1
For graphs and , we say that is -free if no induced subgraph of is isomorphic to , and that is -induced-saturated if is -free but removing or add…
math.CO2024
Tree Independence Number IV. Even-hole-free Graphs
Maria Chudnovsky, Peter Gartland, Sepehr Hajebi +2
We prove that the tree independence number of every even-hole-free graph is at most polylogarithmic in its number of vertices. More explicitly, we prove that there exists a constan…