We define a new NP search problem, the “local improvement” principle, about labellings of an acyclic, bounded-degree graph. We show that, provably in PV, it characterizes the...
Leszek Aleksander Kolodziejczyk, Phuong Nguyen, Ne...
A three-dimensional grid drawing of a graph is a placement of the vertices at distinct points with integer coordinates, such that the straight line segments representing the edges ...
In this paper, we study the complexity and (in)approximability of the minimum label vehicle routing problem. Given a simple complete graph G = (V, E) containing a special vertex 0 ...
The Satisfactory Partition problem consists of deciding if a given graph has a partition of its vertex set into two nonempty parts such that each vertex has at least as many neighb...
Consider a directed graph G = (V, E) with n vertices and a root vertex r ∈ V . The DMDST problem for G is one of constructing a spanning tree rooted at r, whose maximal degree is...