One of the standard basic steps in drawing hierarchical graphs is to invert some arcs of the given graph to make the graph acyclic. We discuss exact and parameterized algorithms fo...
We show that n lines in 3-space can be cut into O(n2-1/69 log16/69 n) pieces, such that all depth cycles defined by triples of lines are eliminated. This partially resolves a long...
We describe algorithms to compute the shortest path homotopic to a given path, or the shortest cycle freely homotopic to a given cycle, on an orientable combinatorial surface. Unli...
DFS has previously been shown to be a simple and efficient strategy for removing cycles in graphs allowing the resulting DAGs to be scheduled using one of the many well-established...
We present sublinear-time (randomized) algorithms for finding simple cycles of length at least k 3 and tree-minors in bounded-degree graphs. The complexity of these algorithms is...
Artur Czumaj, Oded Goldreich, Dana Ron, C. Seshadh...