We provide linear-time algorithms for geometric graphs with sublinearly many crossings. That is, we provide algorithms running in O(n) time on connected geometric graphs having n ...
David Eppstein, Michael T. Goodrich, Darren Strash
A graph G is k-linked if G has at least 2k vertices, and for every sequence x1, x2, . . . , xk, y1, y2, . . . , yk of distinct vertices, G contains k vertex-disjoint paths P1, P2,...
Given an edge-weighted graph G = (V,E), a subset S ⊆ V , an integer k 1 and a real b 0, the minimum subpartition problem asks to find a family of k nonempty disjoint subsets X1...
Consider a planar straight line graph (PSLG), G, with k connected components, k 2. We show that if no component is a singleton, we can always find a vertex in one component that s...
Ferran Hurtado, Mikio Kano, David Rappaport, Csaba...