theory, enumeration reducibility (or e-reducibility for short) is a specific type of reducibility. Roughly speaking, A is enumeration-reducible to B if...

{\displaystyle b=1} and so on. Enumeration reducibility: Similar to positive reducibility, relating to the effective procedure of enumerability from A {\displaystyle...

provided), and produces an enumeration of A. See enumeration reducibility for a precise account. A set A is computably enumerable with oracle B (or simply...

to many counting problems, in particular to the enumeration of chemical compounds. The Pólya enumeration theorem has been incorporated into symbolic combinatorics...

combinatorics, an area of mathematics, graph enumeration describes a class of combinatorial enumeration problems in which one must count undirected or...

respect to many-one reducibility and with respect to Turing reducibility. In 1944, Post asked whether every computably enumerable set is either computable...

defined via enumeration operators. Enumeration operators are of central importance in the study of enumeration reducibility. Each enumeration operator Φ...

Weakness Enumeration. Archived from the original on 2025-01-07. Certifying Applications for Known Security Weaknesses. The Common Weakness Enumeration (CWE)...

powered on, the PCI bus(es) and device(s) must be enumerated by BIOS or operating system. Bus enumeration is performed by attempting to access the PCI configuration...

many-one reducibility if there exists no reduction from a language outside C to a language in C. If a class is closed under many-one reducibility, then many-one...

input, the enumeration algorithm must produce the list of all solutions, without duplicates, and then halt. The performance of an enumeration algorithm...

In computer science, state space enumeration are methods that consider each reachable program state to determine whether a program satisfies a given property...

The 27×27 board is the highest-order board that has been completely enumerated. The following tables give the number of solutions to the n queens problem...

to 1 April 2023. However, enumeration was later extended several times until 30 May 2023, because of incomplete enumeration in large cities such as Karachi...

Soare, 1987. Recursively enumerable sets and degrees, Springer. Davis, Martin (November 2006). "What is...Turing Reducibility?" (PDF). Notices of the American...

because it reduces the complexity of the problem and requires checking only 633 reducible configurations. Both the unavoidability and reducibility parts of...

In graph theory, a cograph, or complement-reducible graph, or P4-free graph, is a graph that can be generated from the single-vertex graph K1 by complementation...

and surface area of a hypersphere, and they have many applications in enumerative combinatorics. They occur in Student's t-distribution (1908), though...

In functional programming, fold (also termed reduce, accumulate, aggregate, compress, or inject) refers to a family of higher-order functions that analyze...

found; refinements in ordering the enumeration and marking adjacent squares that should not be considered reduce the number of cases that need to be...

squares. Except for n ≤ 5, the enumeration of higher order magic squares is still an open challenge. The enumeration of most-perfect magic squares of...

in Quantum Chemistry, CRC Press, Boca Raton, Florida Richard Stanley, Enumerative Combinatorics, Vol. 2 Burnside, William (1955), Theory of groups of finite...

quantifiers by n). Arithmetical reducibility is an intermediate notion between Turing reducibility and hyperarithmetic reducibility. A set is arithmetical (also...

used to reach inductive generalizations are enumerative induction and eliminative induction. Enumerative induction is an inductive method in which a generalization...

essential features of population and housing censuses as "individual enumeration, universality within a defined territory, simultaneity and defined periodicity"...

implements encryption. This kind of VPN implementation has the benefit of reduced costs and greater flexibility, with respect to dedicated communication...

Species of the Linen and Hempen Manufactures of this Kingdom therein enumerated, and for repealing the Bounties on Flax Seed imported, and for encouraging...

a subsequence of some k {\displaystyle k} values in the permutation by reducing these values to the range from 1 to k {\displaystyle k} while preserving...

Office of Hawaiian Affairs (May 2017). "Native Hawaiian Population Enumerations in Hawaiʻi" (PDF). p. 22. Archived from the original (PDF) on January...

such as X → y requiring a great many artificial rules that essentially enumerate the combinations of all the possible states and lookahead terminals that...