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Electronic Colloquium on Computational Complexity

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Reports tagged with Commutative Rank:
TR16-145 | 16th September 2016
Markus Bläser, Gorav Jindal, Anurag Pandey

Greedy Strikes Again: A Deterministic PTAS for Commutative Rank of Matrix Spaces

Revisions: 2

We consider the problem of commutative rank computation of a given matrix space, $\mathcal{B}\subseteq\mathbb{F}^{n\times n}$. The problem is fundamental, as it generalizes several computational problems from algebra and combinatorics. For instance, checking if the commutative rank of the space is $n$, subsumes problems such as testing perfect matching in graphs ... more >>>

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