We study the topological simplification of graphs via random embeddings, leading ultimately to a reduction of the Gupta-Newman-Rabinovich-Sinclair (GNRS) L1 embedding conjecture t...
A graph is Y Y reducible if it can be reduced to isolated vertices by a sequence of series-parallel reductions and Y Y transformations. It is still an open problem to characterize...
We study a general class of problems called F -Deletion problems. In an F -Deletion problem, we are asked whether a subset of at most k vertices can be deleted from a graph G such...
Fedor V. Fomin, Daniel Lokshtanov, Neeldhara Misra...
In this paper we investigate the structural properties of k-path separable graphs, that are the graphs that can be separated by a set of k shortest paths. We identify several grap...