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Electronic Colloquium on Computational Complexity

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Reports tagged with circuit value problem CVP:
TR06-009 | 10th January 2006
Nutan Limaye, Meena Mahajan, Jayalal Sarma

Evaluating Monotone Circuits on Cylinders, Planes and Tori

We re-examine the complexity of evaluating monotone planar circuits
MPCVP, with special attention to circuits with cylindrical
embeddings. MPCVP is known to be in NC^3, and for the special
case of upward stratified circuits, it is known to be in
LogDCFL. We characterize cylindricality, which ... more >>>

TR22-147 | 10th November 2022
Samir Datta, Chetan Gupta

Evaluating Monotone Circuits on Surfaces

Revisions: 3

In this paper, we study the circuit value problem for monotone Boolean circuits (that is, circuits without negation gates) when the circuits are embedded on a surface of bounded genus, and all inputs to the circuits lie on at most constantly many faces. We show that this problem can be ... more >>>

ISSN 1433-8092 | Imprint