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On the planar monotone computation of threshold functions

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-08138-0_2openalex-snapshot
New bounds on formula size
inferredcites →https://doi.org/10.1007/bf00264232openalex-snapshot
A 2.5n lower bound on the monotone network complexity of T3n
inferredcites →https://doi.org/10.1007/bf01683282openalex-snapshot
On the combinational complexity of certain symmetric Boolean functions
inferredcites →https://doi.org/10.1007/bf01747074openalex-snapshot
Method of determining lower bounds for the complexity of P-schemes
inferredcites →https://doi.org/10.1016/0020-0190(80)90117-9openalex-snapshot
A space efficient algorithm for the monotone planar circuit value problem
inferredcites →https://doi.org/10.1016/0196-6774(84)90016-6openalex-snapshot
Short monotone formulae for the majority function
inferredcites →https://doi.org/10.1016/0304-3975(78)90021-xopenalex-snapshot
An explicit construction of short monotone formulae for the monotone symmetric functions
inferredcites →https://doi.org/10.1109/sfcs.1984.715953openalex-snapshot
Constructing O(n Log n) Size Monotone Formulae For The k-th Elementary Symmetric Polynomial Of n Boolean Variables
inferredcites →https://doi.org/10.1109/tc.1979.1675245openalex-snapshot
The Complexity of Monotone Networks for Certain Bilinear Forms, Routing Problems, Sorting, and Merging
inferredcites →https://doi.org/10.1109/tc.1981.1675758openalex-snapshot
Planar Crossovers
inferredcites →https://doi.org/10.1137/0209043openalex-snapshot
Bounds on Selection Networks
inferredcites →https://doi.org/10.1137/0209046openalex-snapshot
Applications of a Planar Separator Theorem
inferredcites →https://doi.org/10.1137/0211033openalex-snapshot
$\Omega (n\log n)$ Lower Bounds on Length of Boolean Formulas
inferredcites →https://doi.org/10.1145/321879.321882openalex-snapshot
Bounds to Complexities of Networks for Sorting and for Switching

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/3-540-54458-5_68openalex-snapshot
Nonlinear lower bounds on the number of processors of circuits with sublinear separators
inferred← citeshttps://doi.org/10.1007/978-3-642-15155-2_37openalex-snapshot
Limiting Negations in Bounded Treewidth and Upward Planar Circuits
inferred← citeshttps://doi.org/10.1007/bf01277954openalex-snapshot
On the complexity of planar Boolean circuits
inferred← citeshttps://doi.org/10.1007/bfb0023988openalex-snapshot
STACS 85
inferred← citeshttps://doi.org/10.1016/0304-3975(87)90068-5openalex-snapshot
On the planar monotone computation of boolean functions
inferred← citeshttps://doi.org/10.1016/0304-3975(89)90150-3openalex-snapshot
Functions computed by monotone boolean formulas with no repeated variables
inferred← citeshttps://doi.org/10.1016/0304-3975(92)90079-uopenalex-snapshot
Lower bounds on the area complexity of Boolean circuits
inferred← citeshttps://doi.org/10.1016/0890-5401(91)90003-kopenalex-snapshot
Planar acyclic computation
inferred← citeshttps://doi.org/10.1016/0890-5401(91)90041-yopenalex-snapshot
Nonlinear lower bounds on the number of processors of circuits with sublinear separators
inferred← citeshttps://doi.org/10.1016/j.aam.2020.102161openalex-snapshot
Freezing sandpiles and Boolean threshold networks: Equivalence and complexity
inferred← citeshttps://doi.org/10.1070/rm2003v058n05abeh000667openalex-snapshot
Monotone Boolean functions
inferred← citeshttps://doi.org/10.1109/ccc.1999.766259openalex-snapshot
On monotone planar circuits
inferred← citeshttps://doi.org/10.4213/rm667openalex-snapshot
Монотонные булевы функции
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