Cycle detection in graphs and digraphs has received wide attention and several algorithms are available for this purpose. While the web may be modeled as a digraph, such algorithm...
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 mixed hypergraph is a triple H = (V, C, D) where V is the vertex set and C and D are families of subsets of V , the C-edges and D-edges, respectively. A k-colouring of H is a ma...
For a bounded integer , we wish to color all edges of a graph G so that any two edges within distance have different colors. Such a coloring is called a distance-edge-coloring or ...
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...