Nick Fischer

activity

20232026

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cs.DS2023

The Effect of Sparsity on $k$ -Dominating Set and Related First-Order Graph Properties

Nick Fischer, Marvin Künnemann, Mirza Redzic

We revisit $k$ -Dominating Set, one of the first problems for which a tight $n^{k} - o (1)$ conditional lower bound (for $k \geq 3$ ), based on SETH, was shown (Pătraşcu and Williams, SODA…

cs.DS2023

New Graph Decompositions and Combinatorial Boolean Matrix Multiplication Algorithms

Amir Abboud, Nick Fischer, Zander Kelley +2

We revisit the fundamental Boolean Matrix Multiplication (BMM) problem. With the invention of algebraic fast matrix multiplication over 50 years ago, it also became known that BMM…

The Effect of Sparsity on k-Dominating Set and Related First-Order Graph Properties

New Graph Decompositions and Combinatorial Boolean Matrix Multiplication Algorithms

The Effect of Sparsity on $k$ -Dominating Set and Related First-Order Graph Properties