3 papers
math.CO2026
Asymmetric induced saturation
Xinyue Fan, Sahab Hajebi, Sepehr Hajebi +1
For which graphs does there exist a graph with at least one edge and no induced subgraph isomorphic to , such that deleting any edge of creates an induced copy of $H…
cs.CC2025
Parameterized Complexity of the Star Decomposition Problem
Sahab Hajebi, Ramin Javadi
A star of length is defined as the complete bipartite graph . In this paper we deal with the problem of edge decomposition of graphs into stars of varying l…
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…