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Lecture Notes on Evasiveness of Graph Properties

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abstract

This report presents notes from the first eight lectures of the class Many Models of Complexity taught by Laszlo Lovasz at Princeton University in the fall of 1990. The topic is evasiveness of graph properties: given a graph property, how many edges of the graph an algorithm must check in the worst case before it knows whether the property holds.

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cs.CC 1

years

2023 1

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UNVERDICTED 1

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Instance complexity of Boolean functions

cs.CC · 2023-09-26 · unverdicted · novelty 6.0

Instance complexity of symmetric Boolean functions is completely characterized with only Parity and complement at value 1; Greater-Than and Odd-Max-Bit have constant IC while QC/C_min is linear.

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  • Instance complexity of Boolean functions cs.CC · 2023-09-26 · unverdicted · none · ref 13 · internal anchor

    Instance complexity of symmetric Boolean functions is completely characterized with only Parity and complement at value 1; Greater-Than and Odd-Max-Bit have constant IC while QC/C_min is linear.