4 papers
Dynamic Diameter in High-Dimensions against Adaptive Adversary and Beyond
Kiarash Banihashem, Jeff Giliberti, Samira Goudarzi +3
In this paper, we study the fundamental problems of maintaining the diameter and a -center clustering of a dynamic point set , where points may be insert…
Prize-Collecting Forest with Submodular Penalties: Improved Approximation
Ali Ahmadi, Iman Gholami, MohammadTaghi Hajiaghayi +2
Constrained forest problems form a class of graph problems where specific connectivity requirements for certain cuts within the graph must be satisfied by selecting the minimum-cos…
Breaking a Long-Standing Barrier: 2- Approximation for Steiner Forest
Ali Ahmadi, Iman Gholami, MohammadTaghi Hajiaghayi +2
The Steiner Forest problem, also known as the Generalized Steiner Tree problem, is a fundamental optimization problem on edge-weighted graphs where, given a set of vertex pairs, th…
Prize-Collecting Steiner Tree: A 1.79 Approximation
Ali Ahmadi, Iman Gholami, MohammadTaghi Hajiaghayi +2
Prize-Collecting Steiner Tree (PCST) is a generalization of the Steiner Tree problem, a fundamental problem in computer science. In the classic Steiner Tree problem, we aim to conn…