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Electronic Colloquium on Computational Complexity

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Reports tagged with read-once formulae:
TR09-010 | 29th January 2009
Nikos Leonardos, Michael Saks

Lower bounds on the randomized communication complexity of read-once functions

We prove lower bounds on the randomized two-party communication complexity of functions that arise from read-once boolean formulae.

A read-once boolean formula is a formula in propositional logic with the property that every variable appears exactly once. Such a formula can be represented by a tree, where the leaves correspond ... more >>>

TR12-063 | 17th May 2012
Raghav Kulkarni, Miklos Santha

Query complexity of matroids

Let $\mathcal{M}$ be a bridgeless matroid on ground set $\{1,\ldots, n\}$ and $f_{\mathcal{M}}: \{0,1\}^n \to \{0, 1\}$ be the indicator function of its independent sets. A folklore fact is that $f_\mathcal{M}$ is ``evasive," i.e., $D(f_\mathcal{M}) = n$ where $D(f)$ denotes the deterministic decision tree complexity of $f.$ Here we prove ... more >>>

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