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Maximal independent set

Index Maximal independent set

In graph theory, a maximal independent set (MIS) or maximal stable set is an independent set that is not a subset of any other independent set. [1]

45 relations: Algorithm, Arboricity, Babeș-Bolyai University, Bipartite graph, Bron–Kerbosch algorithm, Chordal graph, Clique problem, Cograph, Complement (set theory), Complement graph, Complete graph, Computer cluster, Cycle graph, Dense graph, Distributed algorithm, Dominating set, Graph theory, Hard spheres, Independent set (graph theory), Induced subgraph, Interval graph, Journal of Graph Algorithms and Applications, Matching (graph theory), Matrix multiplication, Matroid, Morgan Kaufmann Publishers, NC (complexity), P-complete, Padovan sequence, Parallel algorithm, Parallel random-access machine, Path (graph theory), Perrin number, Planar graph, Plastic number, Set packing, Statistical mechanics, Theoretical Computer Science (journal), Triangle-free graph, Turán graph, Vector space, Vertex cover, Well-covered graph, With high probability, 2-satisfiability.

Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

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Arboricity

The arboricity of an undirected graph is the minimum number of forests into which its edges can be partitioned.

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Babeș-Bolyai University

The Babeș-Bolyai University (Universitatea Babeș-Bolyai, Babeș-Bolyai Tudományegyetem, Babeș-Bolyai Universität), commonly known after its abbreviation, UBB, is a public university in Cluj-Napoca, Romania.

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Bipartite graph

In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets U and V such that every edge connects a vertex in U to one in V. Vertex sets U and V are usually called the parts of the graph.

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Bron–Kerbosch algorithm

In computer science, the Bron–Kerbosch algorithm is an algorithm for finding maximal cliques in an undirected graph.

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Chordal graph

In the mathematical area of graph theory, a chordal graph is one in which all cycles of four or more vertices have a chord, which is an edge that is not part of the cycle but connects two vertices of the cycle.

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Clique problem

In computer science, the clique problem is the computational problem of finding cliques (subsets of vertices, all adjacent to each other, also called complete subgraphs) in a graph.

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Cograph

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 disjoint union.

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Complement (set theory)

In set theory, the complement of a set refers to elements not in.

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Complement graph

In graph theory, the complement or inverse of a graph is a graph on the same vertices such that two distinct vertices of are adjacent if and only if they are not adjacent in.

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Complete graph

No description.

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Computer cluster

A computer cluster is a set of loosely or tightly connected computers that work together so that, in many respects, they can be viewed as a single system.

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Cycle graph

In graph theory, a cycle graph or circular graph is a graph that consists of a single cycle, or in other words, some number of vertices connected in a closed chain.

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Dense graph

In mathematics, a dense graph is a graph in which the number of edges is close to the maximal number of edges.

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Distributed algorithm

A distributed algorithm is an algorithm designed to run on computer hardware constructed from interconnected processors.

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Dominating set

In graph theory, a dominating set for a graph G.

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Graph theory

In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.

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Hard spheres

Hard spheres are widely used as model particles in the statistical mechanical theory of fluids and solids.

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Independent set (graph theory)

In graph theory, an independent set or stable set is a set of vertices in a graph, no two of which are adjacent.

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Induced subgraph

In graph theory, an induced subgraph of a graph is another graph, formed from a subset of the vertices of the graph and all of the edges connecting pairs of vertices in that subset.

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Interval graph

In graph theory, an interval graph is the intersection graph of a family of intervals on the real line.

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Journal of Graph Algorithms and Applications

The Journal of Graph Algorithms and Applications is an open access peer-reviewed scientific journal covering the subject of graph algorithms and graph drawing.

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Matching (graph theory)

In the mathematical discipline of graph theory, a matching or independent edge set in a graph is a set of edges without common vertices.

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Matrix multiplication

In mathematics, matrix multiplication or matrix product is a binary operation that produces a matrix from two matrices with entries in a field, or, more generally, in a ring or even a semiring.

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Matroid

In combinatorics, a branch of mathematics, a matroid is a structure that abstracts and generalizes the notion of linear independence in vector spaces.

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Morgan Kaufmann Publishers

Morgan Kaufmann Publishers is a Burlington, Massachusetts (San Francisco, California until 2008) based publisher specializing in computer science and engineering content.

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NC (complexity)

In complexity theory, the class NC (for "Nick's Class") is the set of decision problems decidable in polylogarithmic time on a parallel computer with a polynomial number of processors.

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P-complete

In complexity theory, a decision problem is P-complete (complete for the complexity class '''P''') if it is in P and every problem in P can be reduced to it by an appropriate reduction.

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Padovan sequence

The Padovan sequence is the sequence of integers P(n) defined by the initial values and the recurrence relation The first few values of P(n) are The Padovan sequence is named after Richard Padovan who attributed its discovery to Dutch architect Hans van der Laan in his 1994 essay Dom.

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Parallel algorithm

In computer science, a parallel algorithm, as opposed to a traditional serial algorithm, is an algorithm which can be executed a piece at a time on many different processing devices, and then combined together again at the end to get the correct result.

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Parallel random-access machine

In computer science, a parallel random-access machine (PRAM) is a shared-memory abstract machine.

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Path (graph theory)

In graph theory, a path in a graph is a finite or infinite sequence of edges which connect a sequence of vertices which, by most definitions, are all distinct from one another.

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Perrin number

In mathematics, the Perrin numbers are defined by the recurrence relation with initial values The sequence of Perrin numbers starts with The number of different maximal independent sets in an -vertex cycle graph is counted by the th Perrin number for.

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Planar graph

In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints.

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Plastic number

In mathematics, the plastic number (also known as the plastic constant, the minimal Pisot number, the platin number, Siegel's number or, in French, le nombre radiant) is a mathematical constant which is the unique real solution of the cubic equation It has the exact value Its decimal expansion begins with.

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Set packing

Set packing is a classical NP-complete problem in computational complexity theory and combinatorics, and was one of Karp's 21 NP-complete problems.

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Statistical mechanics

Statistical mechanics is one of the pillars of modern physics.

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Theoretical Computer Science (journal)

Theoretical Computer Science (TCS) is a computer science journal published by Elsevier, started in 1975 and covering theoretical computer science.

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Triangle-free graph

In the mathematical area of graph theory, a triangle-free graph is an undirected graph in which no three vertices form a triangle of edges.

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Turán graph

No description.

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Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

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Vertex cover

In the mathematical discipline of graph theory, a vertex cover (sometimes node cover) of a graph is a set of vertices such that each edge of the graph is incident to at least one vertex of the set.

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Well-covered graph

In graph theory, a well-covered graph is an undirected graph in which every minimal vertex cover has the same size as every other minimal vertex cover.

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With high probability

In mathematics, an event that occurs with high probability (often shortened to w.h.p. or WHP) is one whose probability depends on a certain number n and goes to 1 as n goes to infinity, i.e. it can be made as close as desired to 1 by making n big enough.

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2-satisfiability

In computer science, 2-satisfiability, 2-SAT or just 2SAT is a computational problem of assigning values to variables, each of which has two possible values, in order to satisfy a system of constraints on pairs of variables.

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Redirects here:

Minimum independent dominating set, Minimum maximal independent set, Minimum maximal indepent set.

References

[1] https://en.wikipedia.org/wiki/Maximal_independent_set

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