7 research outputs found
Notes on Randomized Algorithms
Lecture notes for the Yale Computer Science course CPSC 469/569 Randomized
Algorithms. Suitable for use as a supplementary text for an introductory
graduate or advanced undergraduate course on randomized algorithms. Discusses
tools from probability theory, including random variables and expectations,
union bound arguments, concentration bounds, applications of martingales and
Markov chains, and the Lov\'asz Local Lemma. Algorithmic topics include
analysis of classic randomized algorithms such as Quicksort and Hoare's FIND,
randomized tree data structures, hashing, Markov chain Monte Carlo sampling,
randomized approximate counting, derandomization, quantum computing, and some
examples of randomized distributed algorithms
LIPIcs, Volume 244, ESA 2022, Complete Volume
LIPIcs, Volume 244, ESA 2022, Complete Volum
Recursive Randomized Coloring Beats Fair Dice Random Colorings
We investigate a re ned recursive coloring approach to construct balanced colorings for hypergraphs. A coloring is called balanced if each hyperedge has (roughly) the same number of vertices in each color
LIPIcs, Volume 251, ITCS 2023, Complete Volume
LIPIcs, Volume 251, ITCS 2023, Complete Volum