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cs.GT2024
Bi-Criteria Metric Distortion
Kiarash Banihashem, Diptarka Chakraborty, Shayan Chashm Jahan +4
Selecting representatives based on voters' preferences is a fundamental problem in social choice theory. While cardinal utility functions offer a detailed representation of prefere…
cs.DS2024
A Dynamic Algorithm for Weighted Submodular Cover Problem
Kiarash Banihashem, Samira Goudarzi, MohammadTaghi Hajiaghayi +2
We initiate the study of the submodular cover problem in dynamic setting where the elements of the ground set are inserted and deleted. In the classical submodular cover problem, w…
cs.DS2024
Dynamic Metric Embedding into Space
Kiarash Banihashem, MohammadTaghi Hajiaghayi, Dariusz R. Kowalski +2
We give the first non-trivial decremental dynamic embedding of a weighted, undirected graph into space. Given a weighted graph undergoing a sequence of edge weight…