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Graph Aligner (GRAAL) is an algorithm for global network alignment that is based solely on network topology. It aligns two networks G and H by producing
Graph_Aligner
Topics referred to by the same term
in Germany Graal Online [de], an MMORPG GRAph ALigner (GRAAL), an algorithm for aligning two different graphs GraalVM, a Java virtual machine extension
Graal
Flow graph invented by Claude Shannon
A signal-flow graph or signal-flowgraph (SFG), invented by Claude Shannon, but often called a Mason graph after Samuel J. Mason who coined the term, is
Signal-flow_graph
Methodic assignment of colors to elements of a graph
In graph theory, graph coloring is a methodic assignment of labels traditionally called "colors" to elements of a graph. The assignment is subject to certain
Graph_coloring
Abstract data type in computer science
science, a graph is an abstract data type that is meant to implement the undirected graph and directed graph concepts from the field of graph theory within
Graph_(abstract_data_type)
Bipartite, 3-regular undirected graph
field of graph theory, the Pappus graph is a bipartite, 3-regular, undirected graph with 18 vertices and 27 edges, formed as the Levi graph of the Pappus
Pappus_graph
Pan-genome Graph Construction Methodology
Pan-genome graph construction is the process of creating a graph-based representation of the collective genome (the pan-genome) of a species or a group
Pan-genome_graph_construction
Matrix representation of a graph
In the mathematical field of graph theory, the Laplacian matrix, also called the graph Laplacian, admittance matrix, Kirchhoff matrix, or discrete Laplacian
Laplacian_matrix
Archimedean solid with 62 faces
pentagrammic prisms. In the mathematical field of graph theory, a rhombicosidodecahedral graph is the graph of vertices and edges of the rhombicosidodecahedron
Rhombicosidodecahedron
Efficient version of non-strict evaluation
In computer science, graph reduction implements an efficient version of non-strict evaluation, an evaluation strategy where the arguments to a function
Graph_reduction
Generalization of graph theory
hypergraph is a generalization of a graph in which an edge can join any number of vertices. In contrast, in an ordinary graph, an edge connects exactly two
Hypergraph
Identifying translation relationships among the words in a bitext
a variety of improvements The Berkeley Word Aligner (free software under GPL) Another widely used aligner implementing alignment by agreement, and discriminative
Bitext_word_alignment
Form of data structure
A scene graph is a hierarchical data structure commonly used by vector-based graphics editing applications and modern computer games, which cascades the
Scene_graph
Longest distance between tree vertices
In graph theory, the triameter is a metric invariant that generalizes the concept of a graph's diameter. It is defined as the maximum sum of pairwise
Triameter_(graph_theory)
Planar bipartite graph with 25 vertices and 31 edges
In the mathematical field of graph theory, the Walther graph, also called the Tutte fragment, is a planar bipartite graph with 25 vertices and 31 edges
Walther_graph
Directed graph that models causal relationships between variables
statistics, econometrics, epidemiology, genetics and related disciplines, causal graphs (also known as path diagrams, causal Bayesian networks or DAGs) are probabilistic
Causal_graph
processes, such as melanogenesis or protein degradation. Additionally, GRAph ALigner (GRAAL), a global network alignment method, used graphlet degree vectors
Graphlets
Non-crossing graph with vertices on outer face
In graph theory, an outerplanar graph is a graph that has a planar drawing for which all vertices belong to the outer face of the drawing. Outerplanar
Outerplanar_graph
Clustering and community detection algorithm
well-connected. Consider, for example, the following graph: Three communities are present in this graph (each color represents a community). Additionally
Leiden_algorithm
2D graphic with logarithmic scales on both axes
In science and engineering, a log–log graph or log–log plot is a two-dimensional graph of numerical data that uses logarithmic scales on both the horizontal
Log–log_plot
Solid with eight equal triangular faces
octahedron give rise to a graph, a discrete structure drawn in a plane. The name is octahedral graph. The octahedral graph is an example of a four-connected
Regular_octahedron
Diagram of behavior of finite state systems
classic form of state diagram for a finite automaton (FA) is a directed graph with the following elements (Q, Σ, Z, δ, q0, F): Vertices Q: a finite set
State_diagram
Concept in quantum computing
computing, a graph state is a special type of multi-qubit state that can be represented by a graph. Each qubit is represented by a vertex of the graph, and there
Graph_state
Bipartite non-Hamiltonian polyhedral graph
In graph theory, a branch of mathematics, the Herschel graph is a bipartite undirected graph with 11 vertices and 18 edges. It is a polyhedral graph (the
Herschel_graph
Measure of the structural complexity of a software program
Cyclomatic complexity is computed using the control-flow graph of the program. The nodes of the graph correspond to indivisible groups of commands of a program
Cyclomatic_complexity
science, a shortest-path graph is an undirected graph defined from a set of points in the Euclidean plane. The shortest-path graph is proposed with the idea
Shortest-path_graph
Graph where most nodes are reachable in a small number of steps
network example Hubs are bigger than other nodes A small-world network is a graph characterized by a high clustering coefficient and low distances. In an
Small-world_network
MRI sequence simulation technique
magnetic resonance imaging and nuclear magnetic resonance the extended phase graph (EPG) is a mathematical framework used to track how magnetization evolves
Extended_phase_graph
Optimization technique
As applied in the field of computer vision, graph cut optimization can be employed to efficiently solve a wide variety of low-level computer vision problems
Graph cuts in computer vision and artificial intelligence
Graph_cuts_in_computer_vision_and_artificial_intelligence
Extension of the RDF data model
Named graphs are a key concept of Semantic Web architecture in which a set of Resource Description Framework statements (a graph) are identified using
Named_graph
The Code-O-Graph is a field cipher device and identifier from the Captain Midnight radio serial. In the story line they were used by agents of the Secret
Code-O-Graph
Concept in graph theory and network analysis
In graph theory and network analysis, group centrality generalizes the concept of centrality to sets of nodes in a network. Introduced by Everett and
Group_centrality
S2CID 205420247. Hauswedell H, Singer J, Reinert K (2014-09-01). "Lambda: the local aligner for massive biological data". Bioinformatics. 30 (17): 349–355. doi:10
List of sequence alignment software
List_of_sequence_alignment_software
Technique in electrical circuit analysis
the Y-Δ transform plays an important role in theory of circular planar graphs. The Y-Δ transform is known by a variety of other names, mostly based upon
Y-Δ_transform
needed] Alignment: the wfmash aligner was used to generate all-vs-all alignments of input sequences. Graph induction: seqwish Graph normalization: smoothxg
Human_Pangenome_Reference
American music theorist-analyst and composer
[modeling these] on multi-layered graphs showing the curve of various musical features” with the graphs aligned to indicate visually “the degree of
Joshua_Banks_Mailman
Python library for graphs and networks
NetworkX is a Python library for studying graphs and networks. NetworkX is free software released under the BSD-new license. NetworkX began development
NetworkX
Representation of a quantum group
A crystal base can be represented by a directed graph with labelled edges. Each vertex of the graph represents an element of the Q {\displaystyle \mathbb
Crystal_base
Algebraic encoding of graph connectivity
is a graph polynomial. It is a polynomial in two variables which plays an important role in graph theory. It is defined for every undirected graph G {\displaystyle
Tutte_polynomial
On short connecting nets with added points
term Steiner tree problem, is the Steiner tree problem in graphs. Given an undirected graph with non-negative edge weights and a subset of vertices, usually
Steiner_tree_problem
Unsolved problem in computational complexity theory
Covering Graph problem (covering graphs is the terminology from topology; in the context of unique games these are often referred to as graph lifts). To
Unique_games_conjecture
Theorem in graph theory
In graph theory, the graph removal lemma states that when a graph contains few copies of a given subgraph, then all of the copies can be eliminated by
Graph_removal_lemma
Type of discrete calculus
mathematics, calculus on finite weighted graphs is a discrete calculus for functions whose domain is the vertex set of a graph with a finite number of vertices
Calculus on finite weighted graphs
Calculus_on_finite_weighted_graphs
In graph theory, an independence dominating set for a graph G = ( V , E ) {\displaystyle G=(V,E)} is a subset D ⊆ V {\displaystyle D\subseteq V} that dominates
Independence_dominating_set
Greek and American computer scientist
applies machine learning and data mining to graph-theoretic data, including the use of graph neural networks and graph matching, and applications to anomaly
Danai_Koutra
effective in assembling fewer reads with a high degree of overlap. De Bruijn graphs align k-mers (usually 25-50 bp) based on k-1 sequence conservation to create
De novo transcriptome assembly
De_novo_transcriptome_assembly
Overview and analysis of structured formats in journalism
by a nut graph explaining its importance, and then delve into causes and effects. Example 2: In an economic analysis article, the nut graph could introduce
Article_structure
Formula for solving a quadratic equation
the x values at which the graph of the quadratic function y=ax2+bx+c, a parabola, crosses the x-axis: the graph's x-intercepts. The quadratic
Quadratic_formula
Models signal dispersion by representing the radio propagation environment by a graph
Propagation graphs are a mathematical modelling method for radio propagation channels. A propagation graph is a signal flow graph in which vertices represent
Propagation_graph
Combinatorial optimization method for a family of functions of discrete variables
Graph cut optimization is a combinatorial optimization method applicable to a family of functions of discrete variables, named after the concept of cut
Graph_cut_optimization
Search engine from Google
the feature expanded to all countries globally in 2017. The Knowledge Graph is a knowledge base used by Google to enhance its search engine's results
Google_Search
Method of partitioning data points into groups based on their similarity
complete graph G = ( V , E ) {\displaystyle G=(V,E)} , where each edge is labeled either + {\displaystyle +} or − {\displaystyle -} (that is, the graph is a
Correlation_clustering
Free and open-source graph database
TerminusDB is an open source knowledge graph database with version control. It is used to build versioned data products. It is a native revision control
TerminusDB
Points with no three in a line
The Games graph is a strongly regular graph with 729 vertices. Every edge belongs to a unique triangle, so it is a locally linear graph, the largest
Cap_set
Graph operation
operation) is a graph operation defined on regular polyhedral graphs with degree 3 or 4. It also applies to the dual graph of these graphs, i.e. graphs with triangular
Goldberg–Coxeter_construction
Framework in mathematics
of GTW graph corresponds to the optimal solution of warping paths in the joint alignment. In multiple sequence alignment, the purpose is to align all sequences
Graphical_time_warping
Software in bioinformatics
Bruijn graph assemblers. There are two types of algorithms that are commonly utilized by these assemblers: greedy, which aim for local optima, and graph method
De_novo_sequence_assemblers
Algorithm for counting perfect matchings in planar graphs
number of perfect matchings in a planar graph in polynomial time. This same task is #P-complete for general graphs. For matchings that are not required to
FKT_algorithm
Logic problem, AND of pairwise ORs
type of directed graph, the implication graph, which expresses the variables of an instance and their negations as vertices in a graph, and constraints
2-satisfiability
algorithm for constructing maximum-cardinality matching on graphs. Coloring algorithm: algorithms for graph (vertex or edge) coloring (subject to constraints,
List_of_algorithms
Square matrix containing the distances between elements in a set
In mathematics, computer science and especially graph theory, a distance matrix is a square matrix (two-dimensional array) containing the distances, taken
Distance_matrix
Messaging and VoIP service owned by Meta
of the settings. In May 2023, WhatsApp allowed users to edit messages, aligning itself with competitors such as Telegram and Signal which already offered
Special labeling in graph theory
In graph theory, the act of coloring generally implies the assignment of labels to vertices, edges or faces in a graph. The incidence coloring is a special
Incidence_coloring
Type of information retrieval using LLMs
(usually text), semi-structured, or structured data (for example knowledge graphs). These embeddings are then stored in a vector database to allow for document
Retrieval-augmented generation
Retrieval-augmented_generation
In graph theory, the Graham–Pollak theorem states that the edges of an n {\displaystyle n} -vertex complete graph cannot be partitioned into fewer than
Graham–Pollak_theorem
Web platform part of Microsoft 365
process requirements in organizations. SharePoint also provides search and "graph" functionality. SharePoint allows collaborative real-time editing and
SharePoint
Decomposition of an integer as a sum of positive integers
diagram of a typical large partition becomes asymptotically close to the graph of a certain analytic function minimizing a certain functional. In 1988
Integer_partition
Regular polytope dual to the hypercube in any number of dimensions
hypercube. The vertex-edge graph of an n-dimensional cross-polytope is the Turán graph T(2n, n) (also known as a cocktail party graph ). In 1 dimension the
Cross-polytope
Proposition that visual inscriptions are central to scientific practice
technology studies (STS), the graphism thesis is a proposition advanced by Bruno Latour that visual inscriptions—especially graphs, diagrams, and other visual
Graphism_thesis
Four-dimensional analogue of the cube
Mathematical Society: 18. MR 0304504. Pournin, Lionel (2013). "The flip-Graph of the 4-dimensional cube is connected". Discrete & Computational Geometry
Tesseract
Visual representation of data
A horizon chart or horizon graph is a 2-dimensional data visualization displaying a quantitative data over a continuous interval, most commonly a time
Horizon_chart
Software project for the analysis of genomic data
(Development version)". Liao Y, Smyth GK, Shi W (May 2013). "The Subread aligner: fast, accurate and scalable read mapping by seed-and-vote". Nucleic Acids
Bioconductor
Graphical representation
the graph itself, the x-axis indicates the time of day, typically in 24-hour cycles. The y-axis indicates the days of the experiment. The graph either
Actogram
Races". AARP. "AtlasIntel". PollsterGraph. Retrieved November 3, 2026. @AndrewSolender (October 15, 2026). "Dem-aligned PPP poll of Alaska circulating among
2026 United States House of Representatives election in Alaska
2026_United_States_House_of_Representatives_election_in_Alaska
Computer scientist (born 1991)
Competitive Programming Hall Of Fame". cphof.org. Retrieved March 20, 2025. "Graphs and Beyond: Faster Algorithms for High Dimensional Convex Optimization"
Jakub_Pachocki
Algorithm used by Google Search to rank web pages
pagerank(M, 0.85) The PageRank of an undirected graph G is statistically close to the degree distribution of the graph G, but they are generally not identical:
PageRank
Concept in music theory
Each chord was vertically aligned with its relative major or minor. F. G. Vial and Gottfried Weber suggested a grid graph or square lattice model of
Chordal_space
Graph drawing with few edge bends
In graph drawing styles that represent the edges of a graph by polylines (sequences of line segments connected at bends), it is desirable to minimize the
Bend_minimization
2025 operating system version
since macOS Big Sur in 2020, now using the Liquid Glass design language to align with iOS 26 and iPadOS 26. Folder icons have been redesigned and can now
MacOS_Tahoe
Non-commutative algebraic structure
resulted indirectly in the terms Hamiltonian circuit and Hamiltonian path in graph theory. He also invented the icosian game as a means of illustrating and
Icosian_calculus
Machine learning method to transfer knowledge from a large model to a smaller one
and natural language processing. Recently, it has also been introduced to graph neural networks applicable to non-grid data. Knowledge transfer from a large
Knowledge_distillation
Fraction of graph maps that are homomorphisms
In the mathematical field of extremal graph theory, homomorphism density with respect to a graph H {\displaystyle H} is a parameter t ( H , − ) {\displaystyle
Homomorphism_density
Type of plane partition
metrics. Voronoi diagrams of 20 points under two different metrics The dual graph for a Voronoi diagram (in the case of a Euclidean space with point sites)
Voronoi_diagram
Mathematical metric
functions, the Chebyshev distance generalizes to the uniform norm. King's graph Taxicab geometry Cyrus. D. Cantrell (2000). Modern Mathematical Methods
Chebyshev_distance
Convex polytope, the n-dimensional analogue of a square and a cube
an example of a zonotope. The 1-skeleton of a hypercube is a hypercube graph. A unit hypercube of dimension n is the convex hull of all the 2n points
Hypercube
Set of learning techniques in machine learning
of the entire graph. Negative samples are obtained by pairing the graph representation with either representations from another graph in a multigraph
Representation_learning
This is a bar graph showing a timeline of aircraft carriers of the United States Navy displaying the ships' names and their hull numbers. The carriers
Timeline of aircraft carriers of the United States Navy
Timeline_of_aircraft_carriers_of_the_United_States_Navy
two graphs present the polls that are government-aligned, or independent/opposition-aligned, respectively as per the table above. Government-aligned
Opinion polling for the 2026 Hungarian parliamentary election
Opinion_polling_for_the_2026_Hungarian_parliamentary_election
Size of bounding box of graph drawing
In graph drawing, the area used by a drawing is a commonly used way of measuring its quality. For a drawing style in which the vertices are placed on
Area_(graph_drawing)
Company logo
devices. A new favicon was launched on January 9, 2009. It included a left-aligned white lowercase "g" with background areas colored in red, green, blue and
Google_logo
Information Graphical User Interface
trends use of legends anytime more than one color or shape is present on a graph spatial arrangement: place your most important view on the top left (if
Dashboard_(computing)
Measure of similarity and diversity between sets
In practice, graph representations like adjacency lists are used to improve the efficiency of intersection and union math. For large graphs, computing similarity
Jaccard_index
Concept in mathematics
a graph, the robots correspond to particles, and successful navigation corresponds to a path in the configuration space of that graph. For any graph Γ
Configuration space (mathematics)
Configuration_space_(mathematics)
First candidate. That same day, Ngaro confirmed that he and his party would align with NZ First, citing "strategic realism and shared values." On 27 March
2026 New Zealand general election
2026_New_Zealand_general_election
2025 Android smartphones developed by Google
Google-branded feature that adds a circular magnet array to the back of the phone to align cases, wallets, phone mounts, stands, and wireless charging pucks and stands
Pixel_10_Pro
2026 release of AI-generated mathematical solutions
loopless graphs that have no Kt as a minor, but are not t-colorable. The Erdős–Turán conjecture is true. The crossing numbers of complete graphs and complete
OpenAI bulk release of mathematical papers
OpenAI_bulk_release_of_mathematical_papers
Mosaic technique
about 4 mm. Tesserae are laid in a pattern like grid or graph paper. The grout lines are aligned both vertically and horizontally unlike opus tessellatum
Opus_regulatum
Diagram that describes the static structure of a software system
left-aligned and the first letter is lowercase. The bottom compartment contains the operations the class can execute. They are also left-aligned and the
Class_diagram
This is a bar graph showing a Timeline of battleships of the United States Navy. The ships are listed in order of hull number. In general, labels for
Timeline of battleships of the United States Navy
Timeline_of_battleships_of_the_United_States_Navy
Method for visually representing three-dimensional objects
have equal length and all the cube's faces are the same area. Isometric graph paper can be placed under a normal piece of drawing paper to help achieve
Isometric_projection
travel, tourism, insurance
GRAPH ALIGNER
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GRAPH ALIGNER
travel, tourism, insurance