computational complexity theory, the set splitting problem is the following decision problem: given a family F of subsets of a finite set S, decide whether there exists...

cover" problem). This is equivalent, by transposing the incidence matrix, to the hitting set problem.: SP5, SP8  Set packing: SP3  Set splitting problem: SP4 ...

collection C has Property B is called the set splitting problem. The smallest number of sets in a collection of sets of size n such that C does not have Property...

Necklace splitting is a picturesque name given to several related problems in combinatorics and measure theory. Its name and solutions are due to mathematicians...

Monotone NAE3SAT can also be interpreted as an instance of the set splitting problem, or as a generalization of graph bipartiteness testing to 3-uniform...

model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations. Some problems belong to more than one discipline...

vertex set of a given graph G {\displaystyle G} can be obtained from the solution to a minimum feedback arc set problem on a graph obtained by splitting every...

operations of any type, up to n of which are MakeSet operations. The combination of path compression, splitting, or halving, with union by size or by rank,...

0} must split if B is also abelian. The Whitehead problem then asks: must A be free? This splitting requirement is equivalent to the condition Ext1(A...

split or a direct sum (neither 1. nor 3. follows): the problem is that the image of the right splitting need not be normal. What is true in this case is that...

A splitting field of a set P of polynomials is the smallest field over which each of the polynomials in P splits. An extension L that is a splitting field...

media, splitting a network prefix into multiple subnets, and technology mapping in FPGA semiconductor chip design. Computationally, the problem is NP-hard...

Mike (Nov 15, 2000). "Secrets of a super geek: Use half splitting to solve difficult problems". TechRepublic. Archived from the original on 8 July 2012...

maximum flow problems involve finding a feasible flow through a flow network that obtains the maximum possible flow rate. The maximum flow problem can be seen...

training, test and validation sets is very dependent on the problem and data available. A training data set is a data set of examples used during the learning...

game is called sequential bargaining. A two-person bargain problem consists of: A feasibility set F {\displaystyle F} , a closed subset of R 2 {\displaystyle...

set of available alternatives. It is generally divided into two subfields: discrete optimization and continuous optimization. Optimization problems arise...

2017-08-29. Retrieved 2016-04-17. Igor R. Shafarevich, The imbedding problem for splitting extensions, Dokl. Akad. Nauk SSSR 120 (1958), 1217-1219. p. 5 of...

This is equivalent to the set-splitting problem, which has been proven NP-complete. Therefore, the SRG diverse routing problem is also NP-complete. (SRLG...

"Splitting of the Breast" is the sixteenth episode of the Japanese anime television series Neon Genesis Evangelion, which was created by Gainax. The episode...

The firing squad synchronization problem is a problem in computer science and cellular automata in which the goal is to design a cellular automaton that...

practice however additional order splitting constraints may have to be taken into account. There is also a semi-continuous problem, where the produced rolls do...

variable splitting is a decomposition method that relaxes a set of constraints. When the variable x {\displaystyle x} appears in two sets of constraints...

constant-bounded size, the work of splitting the problem and combining the partial solutions is proportional to the problem's size n {\displaystyle n} , and...

be set by the x value of the point, and its normal would be the unit x-axis. Since there are many possible ways to choose axis-aligned splitting planes...

straightforward Euler characteristic argument. Triangle Splitting Algorithm : Find the convex hull of the point set P {\displaystyle {\mathcal {P}}} and triangulate...

-consensus-splitting, and ε {\displaystyle \varepsilon } -perfect-division. Problem of the Nile – there are infinitely many agents. Necklace splitting – the...

(disambiguation) Komjath, Peter; Totik, Vilmos (2006). Problems and Theorems in Classical Set Theory. Springer Science & Business Media. p. 497. ISBN 978-0-387-30293-5...

1955. Let A = {ai} and B = {bj} be two complementary subsets, a splitting of the set of natural numbers {1, 2, …, 2n}, such that both have the same cardinality...

satisfiability problem NP-completeness of the Boolean satisfiability problem Cantor's diagonal argument set is smaller than its power set uncountability...