Let G be a minimally k-connected graph with n nodes and m edges. Mader proved that if n 3k - 2 then m k(n - k), and for n 3k - 1 an equality is possible if, and only if, G is t...
Abstract. We prove that for every graph H, there exists a polynomial-time algorithm deciding if a planar graph can be contracted to H. We introduce contractions and topological min...
We study the parameterized complexity of the problems of determining whether a graph contains a k-edge subgraph (k-vertex induced subgraph) that is a -graph for -graphs being one ...
We present a study of multithreaded implementations of Thorup’s algorithm for solving the Single Source Shortest Path (SSSP) problem for undirected graphs. Our implementations l...
Joseph R. Crobak, Jonathan W. Berry, Kamesh Maddur...
A distance oracle is a compact representation of the shortest distance matrix of a graph. It can be queried to retrieve approximate distances and corresponding paths between any p...