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Matrix manipulation algorithm
In numerical analysis, the minimum degree algorithm is an algorithm used to permute the rows and columns of a symmetric sparse matrix before applying the
Minimum_degree_algorithm
Least-weight tree connecting graph vertices
all of the algorithms below, m is the number of edges in the graph and n is the number of vertices. The first algorithm for finding a minimum spanning tree
Minimum_spanning_tree
length in a given graph Minimum spanning tree Borůvka's algorithm Kruskal's algorithm Prim's algorithm Reverse-delete algorithm Nonblocking minimal spanning
List_of_algorithms
Graph theory concept
(2007) found a linear time algorithm that can find the minimum degree spanning tree of series-parallel graphs with small degrees. G. Yao, D. Zhu, H. Li,
Minimum_degree_spanning_tree
Approximation for the travelling salesman problem
Then the algorithm can be described in pseudocode as follows. Create a minimum spanning tree T of G. Let O be the set of vertices with odd degree in T. By
Christofides_algorithm
Randomized algorithm for minimum cuts
In computer science and graph theory, Karger's algorithm is a randomized algorithm to compute a minimum cut of a connected graph. It was invented by David
Karger's_algorithm
Matrix decomposition method
Cycle rank Incomplete Cholesky factorization Matrix decomposition Minimum degree algorithm Square root of a matrix Sylvester's law of inertia Symbolic Cholesky
Cholesky_decomposition
Algorithm that employs a degree of randomness as part of its logic or procedure
A randomized algorithm is an algorithm that employs a degree of randomness as part of its logic or procedure. The algorithm typically uses uniformly random
Randomized_algorithm
Algorithm for finding shortest paths
Dijkstra's algorithm (/ˈdaɪk.strəz/, DYKE-strəz) is an algorithm for finding the shortest paths between nodes in a weighted graph, which may represent
Dijkstra's_algorithm
Concept in numerical linear algebra
fill-reducing reorderings of the matrix's unknowns, such as the Minimum degree algorithm. An incomplete factorization instead seeks triangular matrices
Incomplete_LU_factorization
Subset of a graph's vertices, including at least one endpoint of every edge
of finding a minimum vertex cover is a classical optimization problem. It is NP-hard, so it cannot be solved by a polynomial-time algorithm if P ≠ NP. Moreover
Vertex_cover
connected subgraph of vertices with at least degree k. This algorithm can only be applied to unweighted graphs. A minimum spanning tree is a tree-like subgraph
Disparity filter algorithm of weighted network
Disparity_filter_algorithm_of_weighted_network
Class of algorithms that find approximate solutions to optimization problems
polynomial-time algorithm that uses at most one additional color than the minimum needed. A notable example of an approximation algorithm that provides
Approximation_algorithm
decomposition algorithm Block LU decomposition Cholesky decomposition — for solving a system with a positive definite matrix Minimum degree algorithm Symbolic
List of numerical analysis topics
List_of_numerical_analysis_topics
Optimization algorithms using quantum computing
Quantum optimization algorithms are quantum algorithms that are used to solve optimization problems. Mathematical optimization deals with finding the
Quantum optimization algorithms
Quantum_optimization_algorithms
Number of edges touching a vertex in a graph
{\displaystyle G} 's vertices' degrees. The minimum degree of a graph is denoted by δ ( G ) {\displaystyle \delta (G)} , and is the minimum of G {\displaystyle G}
Degree_(graph_theory)
Shortest network connecting points
the Delaunay triangulation and then applying a graph minimum spanning tree algorithm, the minimum spanning tree of n {\displaystyle n} given planar points
Euclidean minimum spanning tree
Euclidean_minimum_spanning_tree
Method for division with remainder
A division algorithm is an algorithm which, given two integers N and D (respectively the numerator and the denominator), computes their quotient and/or
Division_algorithm
Model selection principle
Minimum Description Length (MDL) is a model selection principle where the shortest description of the data is the best model. MDL methods learn through
Minimum_description_length
Triangulation method
If the Delaunay triangulation is calculated using the Bowyer–Watson algorithm then the circumcenters of triangles having a common vertex with the "super"
Delaunay_triangulation
Numerical linear algebra algorithm
numerical linear algebra, the Cuthill–McKee algorithm (CM), named after Elizabeth Cuthill and James McKee, is an algorithm to permute a sparse matrix that has
Cuthill–McKee_algorithm
Vector quantization algorithm minimizing the sum of squared deviations
the original algorithm, including methods such as fuzzy c-means, which allows data points to belong to multiple clusters with varying degrees of membership
K-means_clustering
clustering algorithm (also known as the HCS algorithm, and other names such as Highly Connected Clusters/Components/Kernels) is an algorithm based on graph
HCS_clustering_algorithm
Algorithm in graph theory
given degree sequence exists, or proves that one cannot find a positive answer. This construction is based on a recursive algorithm. The algorithm was published
Havel–Hakimi_algorithm
Cryptographic algorithm created by Adi Shamir
Shamir's secret sharing (SSS) is an efficient secret sharing algorithm for distributing private information (the "secret") among a group, first developed
Shamir's_secret_sharing
Unrelated vertices in graphs
degree; for instance, a greedy algorithm that forms a maximal independent set by, at each step, choosing the minimum degree vertex in the graph and removing
Independent set (graph theory)
Independent_set_(graph_theory)
Criterion applied in hierarchical cluster analysis
known as Ward's method or more precisely Ward's minimum variance method. The nearest-neighbor chain algorithm can be used to find the same clustering defined
Ward's_method
On short connecting nets with added points
close to 1 in polynomial time. There is a polynomial-time algorithm that approximates the minimum Steiner tree to within a factor of ln ( 4 ) + ε ≈ 1.386
Steiner_tree_problem
Type of spanning tree
^{*}} is the minimum possible maximum degree over all spanning trees. Thus, if k = Δ ∗ {\displaystyle k=\Delta ^{*}} , such an algorithm will either return
Degree-constrained spanning tree
Degree-constrained_spanning_tree
Basic concept of graph theory
efficiently using the max-flow min-cut algorithm. The connectivity and edge-connectivity of G can then be computed as the minimum values of κ(u, v) and λ(u, v)
Connectivity_(graph_theory)
Competitive algorithm for searching a problem space
genetic algorithm (GA) is a metaheuristic inspired by the process of natural selection that belongs to the larger class of evolutionary algorithms (EA) in
Genetic_algorithm
Data structure for priority queue operations
asymptotic running time of algorithms which utilize priority queues. For example, Dijkstra's algorithm and Prim's algorithm can be made to run in O ( |
Fibonacci_heap
Number of bits in a key used by a cryptographic algorithm
(that is, the algorithm's design does not detract from the degree of security inherent in the key length). Most symmetric-key algorithms are designed to
Key_size
Vertices whose removal breaks all cycles
the size of a minimum feedback vertex set can be solved in time O(1.7347n), where n is the number of vertices in the graph. This algorithm actually computes
Feedback_vertex_set
Type of clustering of data points
set to 2. The algorithm minimizes intra-cluster variance as well, but has the same problems as 'k'-means; the minimum is a local minimum, and the results
Fuzzy_clustering
Independent set which is not a subset of any other independent set
(whose degree is lower than the degree of v) and higher neighbours (whose degree is higher than the degree of v), breaking ties as in the algorithm. Call
Maximal_independent_set
Optimization algorithm
minimum (= with a positive second derivative), then it has quadratic convergence. Regula falsi is another method that fits the function to a degree-two
Line_search
Decision rule used for minimizing the possible loss for a worst-case scenario
the values are assigned to each parent node. The algorithm continues evaluating the maximum and minimum values of the child nodes alternately until it reaches
Minimax
Graph divided into two independent sets
Robert (2004), Algorithms in Java, Part 5: Graph Algorithms (3rd ed.), Addison Wesley, pp. 109–111. Kleinberg, Jon; Tardos, Éva (2006), Algorithm Design, Addison
Bipartite_graph
Point set triangulation minimizing total length
Although NP-hard, the minimum weight triangulation may be constructed in subexponential time by a dynamic programming algorithm that considers all possible
Minimum-weight_triangulation
Abstract data type in computer science
matrix, priority queue can be used to extract minimum efficiently when implementing Dijkstra's algorithm, although one also needs the ability to alter
Priority_queue
Subset of a graph's nodes such that all other nodes link to at least one
S4}. If the graph has maximum degree Δ, then the greedy approximation algorithm finds an O(log Δ)-approximation of a minimum dominating set. Also, let dg
Dominating_set
Algorithms for mesh generation
produce a local feature size-graded meshes with minimum angle up to about 28.6 degrees. The algorithm begins with a constrained Delaunay triangulation
Delaunay_refinement
French computer scientist (born 1955)
structure and the most asymptotically efficient known deterministic algorithm for finding minimum spanning trees. Chazelle was born in Clamart, France, the son
Bernard_Chazelle
Mathematical and computational problem
produced with sophisticated algorithms. In addition, many approximation algorithms exist. For example, the first fit algorithm provides a fast but often
Bin_packing_problem
Estimate of time taken for running an algorithm
takes to run an algorithm. Time complexity is commonly estimated by counting the number of elementary operations performed by the algorithm, supposing that
Time_complexity
NP-hard problem in combinatorial optimization
algorithm of Christofides and Serdyukov follows a similar outline but combines the minimum spanning tree with a solution of another problem, minimum-weight
Travelling_salesman_problem
Algorithm to search the nodes of a graph
Depth-first search (DFS) is an algorithm for traversing or searching tree or graph data structures. The algorithm starts at the root node (selecting some
Depth-first_search
Quantum physics-based metaheuristic for optimization problems
annealing-based algorithms and two examples of this kind of algorithms for solving instances of the max-SAT (maximum satisfiable problem) and Minimum Multicut
Quantum_annealing
Problems in computer science
maximal degree, shortest paths, etc., when insertion and deletion of its edges are allowed. Examples: There is an algorithm that maintains the minimum spanning
Dynamic_problem_(algorithms)
Assignment of colors to edges of a graph
and his algorithm solves the two subproblems recursively. The total time for his algorithm is O(m log m). For planar graphs with maximum degree Δ ≥ 7,
Edge_coloring
Classical problem in combinatorics
factor- log n {\displaystyle \scriptstyle \log n} approximation algorithm for the minimum set cover problem. See setcover for a detailed explanation. The
Set_cover_problem
Algorithm for finding zeros of functions
method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes)
Newton's_method
Optimization technique
designed to find, generate, tune, or select a heuristic (partial search algorithm) that may provide a sufficiently good solution to an optimization problem
Metaheuristic
Subset of a graph's edges such that all other edges are adjacent to at least one
Fujito, Toshihiro; Nagamochi, Hiroshi (2002), "A 2-approximation algorithm for the minimum weight edge dominating set problem", Discrete Applied Mathematics
Edge_dominating_set
Computational problem of graph theory
"A Quantum Algorithm for Finding the Minimum". arXiv:quant-ph/9607014. Nayebi, Aran; Williams, V. V. (2014-10-22). "Quantum algorithms for shortest
Shortest_path_problem
Academic grading structure in the United Kingdom
bachelor's degree takes four years and requires 480 credits with a minimum of 90 at level 10 of the Scottish framework (last year of the honours degree) and
British undergraduate degree classification
British_undergraduate_degree_classification
Edges that hit all cycles in a graph
In graph theory and graph algorithms, a feedback arc set or feedback edge set in a directed graph is a subset of the edges of the graph that contains at
Feedback_arc_set
Concept in graph theory
varying levels of success. One of the oldest algorithms for dividing networks into parts is the minimum cut method (and variants such as ratio cut and
Community_structure
Numerical eigenvalue calculation
The Lanczos algorithm is an iterative method devised by Cornelius Lanczos that is an adaptation of power methods to find the m {\displaystyle m} "most
Lanczos_algorithm
Cycles in a graph that generate all cycles
basis algorithm leads to a polynomial time algorithm for the minimum weight cycle basis. Subsequent researchers have developed improved algorithms for this
Cycle_basis
Mathematical construct in computer algebra
in his 1965 Ph.D. thesis, which also included an algorithm to compute them (Buchberger's algorithm). He named them after his advisor Wolfgang Gröbner
Gröbner_basis
Signal processing method
The Parks–McClellan algorithm, published by James McClellan and Thomas Parks in 1972, is an iterative algorithm for finding the optimal Chebyshev finite
Parks–McClellan filter design algorithm
Parks–McClellan_filter_design_algorithm
vertices to find the one that induces the connector of minimum Wiener index yields an algorithm that finds the optimum solution in 2 O ( n ) {\displaystyle
Wiener_connector
Data structure for integer priorities
graph, prioritized by their degrees, and repeatedly find and remove the vertex of minimum degree. This greedy algorithm can be used to calculate the
Bucket_queue
Algorithm for listing maximal cliques
selecting the vertex of minimum degree among the remaining vertices. If the order of the vertices v that the Bron–Kerbosch algorithm loops through is a degeneracy
Bron–Kerbosch_algorithm
Tree which includes all vertices of a graph
often use algorithms that gradually build a spanning tree (or many such trees) as intermediate steps in the process of finding the minimum spanning tree
Spanning_tree
Machine learning paradigm
supervised learning (SL) is a type of machine learning paradigm where an algorithm learns to map input data to a specific output based on example input-output
Supervised_learning
Subdivision into few independent sets
the mathematical study of matroids and in the design and analysis of algorithms. Its goal is to partition the elements of a matroid into as few independent
Matroid_partitioning
The Shinnar–Le Roux (SLR) algorithm is a mathematical tool for generating frequency-selective radio frequency (RF) pulses in magnetic resonance imaging
Shinnar–Le_Roux_algorithm
Problem in graph theory
opposite problem, that of finding a minimum cut is known to be efficiently solvable via the Ford–Fulkerson algorithm. As the maximum cut problem is NP-hard
Maximum_cut
Algorithm used for frequency estimation and radio direction finding
MUSIC (MUltiple SIgnal Classification) is an algorithm used for frequency estimation and radio direction finding. In many practical signal processing
MUSIC_(algorithm)
Number of forests a graph's edges may be partitioned into
graph is closely related to its maximum degree and its slope number. The pseudoarboricity of a graph is the minimum number of pseudoforests into which its
Arboricity
American computer scientist
Karger's algorithm, a Monte Carlo method to compute the minimum cut of a connected graph. Karger developed the fastest minimum spanning tree algorithm to date
David_Karger
Collective behavior of decentralized, self-organized systems
Monte Carlo algorithm for Minimum Feedback Arc Set where this has been achieved probabilistically via hybridization of Monte Carlo algorithm with Ant Colony
Swarm_intelligence
Largest independent set of paired elements
of maximum degree four, but they can be found in polynomial time for graphs of maximum degree three. A simplified version of the algorithm applies to
Matroid_parity_problem
Type of spanning tree
between each node and its parent. The above algorithm guarantees the existence of shortest-path trees. Like minimum spanning trees, shortest-path trees in
Shortest-path_tree
Graph which remains connected when fewer than k edges are removed
the max-flow min-cut theorem from the theory of network flows. Minimum vertex degree gives a trivial upper bound on edge-connectivity. That is, if a
Edge_connectivity
Mathematics problem
another with the minimum number of prefix reversals is NP-complete. They also gave bounds for the same. Hurkens et al. gave an exact algorithm to sort binary
Pancake_sorting
Tree node with two other nodes as descendants
this algorithm is O(h) where h is the height of the tree (length of longest path from a leaf to the root). However, there exist several algorithms for
Lowest_common_ancestor
Simplicial complex in Euclidean geometry
Santos, Francisco (2010). Triangulations, Structures for Algorithms and Applications. Algorithms and Computation in Mathematics. Vol. 25. Springer. de Berg
Point-set_triangulation
2015 password-based key derivation function
version 1.3. The second attack shows that Argon2i can be computed by an algorithm which has complexity O(n7/4 log(n)) for all choices of parameters σ (space
Argon2
Statistical method in data analysis
merge steps the algorithm must search and update an n × n proximity matrix. For single linkage, optimized algorithms based on minimum spanning trees reduce
Hierarchical_clustering
Methodic assignment of colors to elements of a graph
faster for sufficiently large maximum degree Δ than deterministic algorithms. The fastest randomized algorithms employ the multi-trials technique by Schneider
Graph_coloring
Method for discovering interesting relations between variables in databases
Then we will prune the item set by picking a minimum support threshold. For this pass of the algorithm we will pick 3. Since all support values are three
Association_rule_learning
Algorithm to approximate functions
The Remez algorithm or Remez exchange algorithm, published by Evgeny Yakovlevich Remez in 1934, is an iterative algorithm used to find simple approximations
Remez_algorithm
Property in graph theory
(graphs of maximum degree three), the cutwidth equals the pathwidth plus one. The cutwidth is greater than or equal to the minimum bisection number of
Cutwidth
The Lindsey–Fox algorithm, named after Pat Lindsey and Jim Fox, is a numerical algorithm for finding the roots or zeros of a high-degree polynomial with
Lindsey–Fox_algorithm
Length of shortest path between two nodes of a graph
v) is the minimum sum of weights across all the paths connecting u and v. See the shortest path problem for more details and algorithms. Many sparse
Distance_(graph_theory)
Parameter controlling the machine learning process
hyperparameters (such as the topology and size of a neural network) or algorithm hyperparameters (such as the learning rate and the batch size of an optimizer)
Hyperparameter (machine learning)
Hyperparameter_(machine_learning)
Planar maps require at most five colors
bounded by two edges, and has minimum degree 5. Then G has a vertex of degree 5 which is adjacent to a vertex of degree at most 6. We will use a representation
Five_color_theorem
Inference algorithm for probabilistic graphical models
Variable elimination (VE) is a simple and general exact inference algorithm in probabilistic graphical models, such as Bayesian networks and Markov random
Variable_elimination
One-by-one assignment of colors to graph vertices
coloring is a coloring of the vertices of a graph formed by a greedy algorithm that considers the vertices of the graph in sequence and assigns each
Greedy_coloring
Grouping a set of objects by similarity
analysis refers to a family of algorithms and tasks rather than one specific algorithm. It can be achieved by various algorithms that differ significantly
Cluster_analysis
Finding shortest walks through all graph edges
out-degree. This can be solved as an instance of the minimum-cost flow problem in which there is one unit of supply for every unit of excess in-degree, and
Chinese_postman_problem
Leader election algorithm
Yo-Yo is a distributed algorithm aimed at minimum finding and leader election in generic connected undirected graph. Unlike Mega-Merger it has a trivial
Yo-yo_(algorithm)
Maximal biconnected subgraph
and is based on depth-first search. This algorithm is also outlined as Problem 22-2 of Introduction to Algorithms (both 2nd and 3rd editions). The idea is
Biconnected_component
Measurement of graph sparsity
time by an algorithm that repeatedly removes minimum-degree vertices. The connected components that are left after all vertices of degree less than k
Degeneracy_(graph_theory)
Indian computer scientist (born 1965)
algorithms for the minimum connected dominating set problem that achieves a factor of 2 ln Δ + O(1), where Δ is the maximum degree of a vertex in G. "Faculty
Samir_Khuller
Compact encoding of digital data
required by the algorithm, here latency refers to the number of samples that must be analyzed before a block of audio is processed. In the minimum case, latency
Data_compression
MINIMUM DEGREE-ALGORITHM
MINIMUM DEGREE-ALGORITHM
Male
English
Variant spelling of English Daren, DERREN means "from Araines."
Male
English
English name derived from Dutch Diederik, DEREK means "first of the people; king of nations."
Female
English
English variant spelling of French Désirée, DEZIREE means "desired."
Girl/Female
Tamil
A decree, Command
Girl/Female
Hindu
A decree, Command
Girl/Female
Muslim
Increase, Excess, High degree
Girl/Female
Australian, French
The One Desired; Similar to Desiree; Desired; Longed for
Girl/Female
Muslim
Utmost point, Degree
Girl/Female
Indian
Increase, Excess, High degree
Boy/Male
Muslim
Order, Decree
Boy/Male
Arabic, Indian
Decree; Edict
Girl/Female
English, Hindu, Indian, Marathi
Small Daughter
Girl/Female
Muslim
The utmost, Highest degree
Boy/Male
Muslim
Decree. Edict.
Girl/Female
Arabic, Australian, Muslim
The Utmost; Highest Degree
Girl/Female
Indian
Utmost point, Degree
Boy/Male
Arabic
Degrees; Dignities
Boy/Male
Arabic
Degrees; Dignities
Boy/Male
Indian
Order, Decree
Girl/Female
Arabic, Muslim
Increase; Excess; High Degree; Maximum; Feminine of Mazid
MINIMUM DEGREE-ALGORITHM
MINIMUM DEGREE-ALGORITHM
Girl/Female
Indian
A decor, Decoration piece
Boy/Male
Hindu
Nature, Beautiful
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Mythological, Oriya, Sanskrit, Tamil, Telugu
Son of God; Lord Vishnu; Name of Lord Krishna
Boy/Male
Native American
Yellow wolf.
Girl/Female
American, Australian
Beloved; Beautiful
Boy/Male
German
People's Ruler
Boy/Male
Welsh
Prince.
Boy/Male
Irish
Courteous.
Girl/Female
Arabic, Muslim
Wife of the Prophet
Boy/Male
Hindu, Indian
To Win; Conquer
MINIMUM DEGREE-ALGORITHM
MINIMUM DEGREE-ALGORITHM
MINIMUM DEGREE-ALGORITHM
MINIMUM DEGREE-ALGORITHM
MINIMUM DEGREE-ALGORITHM
n.
A self-registering thermometer, especially one that registers the maximum and minimum during long periods.
pl.
of Minimus
v. i.
To make decrees; -- used absolutely.
n.
Rank; degree; position.
n.
In a curve referred to polar coordinates, any point for which the radius vector is a maximum or minimum.
n.
Three figures taken together in numeration; thus, 140 is one degree, 222,140 two degrees.
n.
Measure of advancement; quality; extent; as, tastes differ in kind as well as in degree.
imp. & p. p.
of Decree
n.
The greatest quantity or value attainable in a given case; or, the greatest value attained by a quantity which first increases and then begins to decrease; the highest point or degree; -- opposed to minimum.
n.
Minimum.
n.
A decree.
n.
A minim.
v. t.
To determine judicially by authority, or by decree; to constitute by edict; to appoint by decree or law; to determine; to order; to ordain; as, a court decrees a restoration of property.
a.
Greatest in quantity or highest in degree attainable or attained; as, a maximum consumption of fuel; maximum pressure; maximum heat.
n.
A certain distance or remove in the line of descent, determining the proximity of blood; one remove in the chain of relationship; as, a relation in the third or fourth degree.
pl.
of Minimum
n.
The least quantity assignable, admissible, or possible, in a given case; hence, a thing of small consequence; -- opposed to maximum.
n.
State as indicated by sum of exponents; more particularly, the degree of a term is indicated by the sum of the exponents of its literal factors; thus, a2b3c is a term of the sixth degree. The degree of a power, or radical, is denoted by its index, that of an equation by the greatest sum of the exponents of the unknown quantities in any term; thus, ax4 + bx2 = c, and mx2y2 + nyx = p, are both equations of the fourth degree.
n.
Grade or rank to which scholars are admitted by a college or university, in recognition of their attainments; as, the degree of bachelor of arts, master, doctor, etc.
n.
One of a series of progressive steps upward or downward, in quality, rank, acquirement, and the like; a stage in progression; grade; gradation; as, degrees of vice and virtue; to advance by slow degrees; degree of comparison.