52 citations · 155 across the 43 of their papers we have counts for
4 papers · 1 filter
Almost partitioning the hypercube into copies of a graph
Vytautas Gruslys, Shoham Letzter
Let be an induced subgraph of the hypercube , for some . We show that for some , the vertices of can be partitioned into induced copies of and a rem…
The homomorphism threshold of -free graphs
Shoham Letzter, Richard Snyder
We determine the structure of -free graphs with vertices and minimum degree larger than : such graphs are homomorphic to the graph obtained from a …
Eigenvalues of subgraphs of the cube
Béla Bollobás, Jonathan Lee, Shoham Letzter
We consider the problem of maximising the largest eigenvalue of subgraphs of the hypercube of a given order. We believe that in most cases, Hamming balls are maximisers, and…
Minimising the number of triangular edges
Vytautas Gruslys, Shoham Letzter
We consider the problem of minimising the number of edges that are contained in triangles, among -vertex graphs with a given number of edges. We prove a conjecture of Füredi and…