Hypergraph multiway cut problem is a problem of finding a minimum capacity set of hyperedges whose removal divides a given hypergraph into a specified number of connected componen...
— Sensor networks are commonly used for security and surveillance applications. As sensor nodes have limited battery paower, computing, and storage resources, the energy efficie...
Andrei Gagarin, Sajid Hussain, Laurence Tianruo Ya...
In this paper we initiate a systematic study of the Reduced Degree Spanning Tree problem, where given a digraph D and a nonnegative integer k, the goal is to construct a spanning o...
Daniel Lokshtanov, Venkatesh Raman, Saket Saurabh,...
Network design involves several areas of engineering and science. Computer networks, electrical circuits, transportation problems, and phylogenetic trees are some examples. In gene...
We introduce the weak gap property for directed graphs whose vertex set S is a metric space of size n. We prove that, if the doubling dimension of S is a constant, any directed gra...