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Graph describing a topological embedding
In topological graph theory, a graph-encoded map or gem is a method of encoding a cellular embedding of a graph using a different graph with four vertices
Graph-encoded_map
Graph with all vertices of degree 3
An arbitrary graph embedding on a two-dimensional surface may be represented as a cubic graph structure known as a graph-encoded map. In this structure
Cubic_graph
Symmetric tessellation of a closed surface
length 4. Note that Γ {\displaystyle \Gamma } is the flag graph or graph-encoded map (GEM) of the map, defined on the vertex set of flags Ω {\displaystyle
Regular_map_(graph_theory)
Graph that can be embedded in the plane
versa, by means of stereographic projection. Plane graphs can be encoded with combinatorial maps or rotation systems. An equivalence class of topologically
Planar_graph
Embedding a graph in a topological space, often Euclidean
ribbon graph, a topological space formed by gluing together topological disks for the vertices and edges of an embedded graph, and the graph-encoded map, an
Graph_embedding
Visual technique in topological graph theory
topological graph theory, a ribbon graph is a way to represent graph embeddings, equivalent in power to signed rotation systems and graph-encoded maps. It is
Ribbon_graph
Type of flowchart
Acyclic Graphs (DAGs). However the phrase “causal map” is usually reserved for qualitative or merely semi-quantitative maps. In this sense, causal maps can
Causal_map
Type of knowledge base
knowledge graph is a knowledge base that uses a graph-structured data model or topology to represent and operate on data. Knowledge graphs are often used
Knowledge_graph
Graph defined from a mathematical group
mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, group diagram, or color group, is a graph that encodes the abstract structure
Cayley_graph
Pan-genome Graph Construction Methodology
contains 47 diverse, haplotype-resolved human genomes encoded in a graph structure. Similarly, graph pan-genomes have been built for crop species such as
Pan-genome_graph_construction
Process in digital electronics and integrated circuit design
Euler (1707–1783) Venn diagram (1880) by John Venn (1834–1923) Karnaugh map (1953) by Maurice Karnaugh The same methods of Boolean expression minimization
Logic_optimization
Directed graph representing overlaps between sequences of symbols
In graph theory, an n-dimensional De Bruijn graph of m symbols is a directed graph representing overlaps between sequences of symbols. It has mn vertices
De_Bruijn_graph
Construction in combinatorial group theory
the Schreier coset graph is a graph associated with a group G, a generating set of G, and a subgroup of G. The Schreier graph encodes the abstract structure
Schreier_coset_graph
Combinatorial representation of a graph on an orientable surface
A combinatorial map is a combinatorial representation of a graph on an orientable surface. A combinatorial map may also be called a combinatorial embedding
Combinatorial_map
Data visualization technique
"Heatmap". D3.js Graph Gallery. Retrieved 25 July 2020. "Most basic heatmap in d3.js". D3.js Graph Gallery. Retrieved 25 July 2020. "Heat Map Chart". AnyChart
Heat_map
Algorithm for finding shortest paths
an algorithm for finding the shortest paths between nodes in a weighted graph, which may represent, for example, a road network. It was conceived by computer
Dijkstra's_algorithm
Graph representing edges of another graph
In the mathematical discipline of graph theory, the line graph of an undirected graph G is another graph L(G) that represents the adjacencies between edges
Line_graph
Function, homomorphism, or morphism
are also a few less common uses in logic and graph theory. In many branches of mathematics, the term map is used to mean a function, sometimes with a
Map_(mathematics)
Open-source data analytics cluster computing framework
general MapReduce-style API. Unlike its predecessor Bagel, which was formally deprecated in Spark 1.6, GraphX has full support for property graphs (graphs where
Apache_Spark
File format for encoding linked data
properties specify the person's name and homepage. The encoding is used by Schema.org, Google Knowledge Graph, and used mostly for search engine optimization
JSON-LD
Trees with additional directed half edges
planar graph can be encoded as a blossom tree. If the root is in the corner, this can be done in linear time. The edges of a rooted planar graph can be
Blossom_tree_(graph_theory)
Data serialization format
values, are encoded in network (big-endian) byte order. For integers, the count field is the value; there is no payload. Type 0 encodes positive or unsigned
CBOR
6 operations in topological graph theory
regular maps", Pacific Journal of Mathematics, 81 (2): 559–568, doi:10.2140/pjm.1979.81.559, MR 0547621 Lins, Sóstenes (1982), "Graph-encoded maps", Journal
Wilson_operation
Algorithm for modelling sequential data
transformer to take any encoded position and find a linear sum of the encoded locations of its neighbors. This sum of encoded positions, when fed into
Transformer_(deep_learning)
Unsolved problem in computational complexity theory
computer science Can the graph isomorphism problem be solved in polynomial time? More unsolved problems in computer science The graph isomorphism problem is
Graph_isomorphism_problem
Query language for property graphs
complex, or even arbitrary structures. Such structures can be easily encoded into the graph model as edges. This can be more convenient than the relational
Graph_Query_Language
Database class for storage and retrieval of modeled data
data include social relations, public transport links, road maps, network topologies, etc. Graph databases and their query language The performance of NoSQL
NoSQL
Research consortium investigating functional elements in human and model organism DNA
Elements (ENCODE) is a public research project which aims "to build a comprehensive parts list of functional elements in the human genome." ENCODE also supports
ENCODE
{\displaystyle k} -graph alone is not enough to recover the k {\displaystyle k} -graph. The extra information about factorization can be encoded in a complete
K-graph_C*-algebra
Declarative graph query language
Cypher is a declarative graph query language that allows for expressive and efficient data querying in a property graph. Cypher was largely an invention
Cypher_(query_language)
Representation learning technique
Word2Vec), image embeddings for visual data, and knowledge graph embeddings for knowledge graphs, each tailored to tasks like NLP, computer vision, or recommendation
Embedding_(machine_learning)
Graphic visual representation of information
infographics are commonly used to show the weather, as well as maps, site plans, and graphs for summaries of data. Some books are almost entirely made up
Infographic
Mental representation of information
These landmarks are processed by the hippocampus together to provide a graph of the environment through relative locations. Alex Siegel and Sheldon White
Cognitive_map
algorithm for constructing maximum-cardinality matching on graphs. Coloring algorithm: algorithms for graph (vertex or edge) coloring (subject to constraints,
List_of_algorithms
Technique for visualizing complex functions
In complex analysis, domain coloring or a color wheel graph is a technique for visualizing complex functions by assigning a color to each point of the
Domain_coloring
Circular statistical graph of proportionality
Map Symbols". makingmaps.net. Retrieved 3 May 2015. Cleveland, p. 86–87 Simkin, D., & Hastie, R. (1987). An Information-Processing Analysis of Graph Perception
Pie_chart
Windows utility displaying characters in a font
HP-48 series graphing calculators and others also have a similar accessory. The OS/2 analogue of the character map called Characters Map is available
Character_Map_(Windows)
Geometric algorithm
edge of the graph. The equivalent embedding found by applying diffusion maps to this connection Laplacian is known as the vector diffusion map. The connection
Diffusion_map
Type of error-correcting code using convolution
transitions can be shown as below: An actual encoded sequence can be represented as a path on this graph. One valid path is shown in red as an example
Convolutional_code
combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, mathematical logic, number theory, set theory, Ramsey
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
rotation map is a function that represents an undirected edge-labeled graph, where each vertex enumerates its outgoing neighbors. Rotation maps were first
Rotation_map
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
Function type in graph theory
In graph theory and statistics, a graphon (also known as a graph limit) is a symmetric measurable function W : [ 0 , 1 ] 2 → [ 0 , 1 ] {\displaystyle
Graphon
Visual representation of data
visual formats used in data visualization includes charts and graphs, geospatial maps, figures, correlation matrices, percentage gauges, etc.. Information
Data and information visualization
Data_and_information_visualization
representation of the topology of a two-dimensional or three-dimensional map, that is, a graph drawn on a (closed) surface. It was first described by Jorge Stolfi
Quad-edge
Assignment of colors to edges of a graph
In graph theory, a proper edge coloring of a graph is an assignment of "colors" to the edges of the graph so that no two incident edges have the same color
Edge_coloring
Software for managing structured data in MediaWiki
that has been encoded can be used in semantic searches, used for aggregation of pages, displayed in formats like maps, calendars and graphs, and exported
Semantic_MediaWiki
Finite sets whose elements are all hereditarily finite sets
structure. In graph theory, the graph whose vertices correspond to hereditarily finite sets and edges correspond to set membership is the Rado graph or random
Hereditarily_finite_set
3D scene and model file format
by the Khronos Group, it supports 3D model geometry, appearance, scene graph hierarchy, and animation. It is intended to be a streamlined, interoperable
GlTF
Lossless data compression method
becomes equivalent to the simpler Rice encoding: Fix the parameter M to an integer value. For N, the number to be encoded, find quotient = q = floor(N/M) remainder
Golomb_coding
Linear error correcting code
constituent encoder are discarded. The parity bit may be used within another constituent code. In an example using the DVB-S2 rate 2/3 code the encoded block
Low-density_parity-check_code
Property of two varying quantities with a constant ratio
{k}{x}}\quad \iff \quad xy=k.} Hence the constant k is the product of x and y. The graph of two variables varying inversely on the Cartesian coordinate plane is
Proportionality_(mathematics)
Parallel programming model
21 March 2021. Gupta, Upa; Fegaras, Leonidas (2013-10-06). "Map-Based Graph Analysis on MapReduce" (PDF). Proceedings: 2013 IEEE International Conference
MapReduce
Yes/no problem in computer science
\{0,1\}^{*}} . For another example, using an encoding such as Gödel numbering, any string can be encoded as a natural number, via which a decision problem
Decision_problem
the clique encoding, but uses a compact data structure to keep track of the vertices in graph H to which each vertex in graph G may be mapped. Both versions
Maximum common induced subgraph
Maximum_common_induced_subgraph
Formal language for describing data models
Resource Description Framework (RDF) is a method to describe and exchange graph data. It was originally designed as a data model for metadata by the World
Resource Description Framework
Resource_Description_Framework
Type of computer program
a subclass of document-oriented databases optimized for XML documents. Graph databases are similar, but add another layer, the relationship, which allows
Document-oriented_database
Projection of data onto lower-dimensional manifolds
Minimization of a cost function based on the graph ensures that points close to each other on the manifold are mapped close to each other in the low-dimensional
Nonlinear dimensionality reduction
Nonlinear_dimensionality_reduction
SPARQL engine
(pronounced /ˈklɛvər/ KLEH-ver, as in "clever") is an open-source triplestore, graph database and SPARQL engine. It is designed to efficiently load and query
QLever
Operation combining two oriented knots
completely encode the isotopy class of the knot by its regular projection by recording a simple over/under information at these crossings. In graph theory
Knot_(mathematics)
Limited form of tree data structure
and S is a singleton (a single–element set) containing the root. From a graph theory perspective, binary trees as defined here are arborescences. A binary
Binary_tree
Any planar graph can be subdivided by removing a few vertices
In graph theory, the planar separator theorem is a form of isoperimetric inequality for planar graphs, that states that any planar graph can be split
Planar_separator_theorem
widget toolkit for creating graphical user interfaces GTK Scene Graph Kit (GSK) — scene graph and rendering toolkit for GTK HDF — file format and library
List_of_C_software_and_tools
Mathematical function such that every output has at least one input
and injective. If (as is often done) a function is identified with its graph, then surjectivity is not a property of the function itself, but rather
Surjective_function
Method of environment mapping in computer graphics
Cube maps provide a fairly straightforward and efficient solution to rendering stable specular highlights. Multiple specular highlights can be encoded into
Cube_mapping
Series of language models developed by Google AI
head: This module converts the final representation vectors into one-shot encoded tokens again by producing a predicted probability distribution over the
BERT_(language_model)
Function that preserves distinctness
function f : R → R {\displaystyle f:\mathbb {R} \to \mathbb {R} } is one whose graph is never intersected by any horizontal line more than once. This principle
Injective_function
Mathematical category
subcategory. In the graph example the embedding represents Cop as the subcategory of SetC whose two objects are V' as the one-vertex no-edge graph and E' as the
Topos
Cycle through all length-k sequences
an n-dimensional de Bruijn graph over k symbols (or equivalently, an Eulerian cycle of an (n − 1)-dimensional de Bruijn graph). An alternative construction
De_Bruijn_sequence
Partitioning a digital image into segments
Posterior Marginal, Multi-scale MAP estimation, Multiple Resolution segmentation and more. Apart from likelihood estimates, graph-cut using maximum flow and
Image_segmentation
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
On linear-time algorithms for graph logic
study of graph algorithms, Courcelle's theorem is the statement that every graph property definable in the monadic second-order logic of graphs can be decided
Courcelle's_theorem
Directed graph which is also a multigraph
theory, a quiver is another name for a multidigraph; that is, a directed graph where loops and multiple arrows between two vertices are allowed. Quivers
Quiver_(mathematics)
Network that allows computers to share resources and communicate with each other
also have hostnames, memorable labels for the host nodes, which can be mapped to a network address using a hosts file or a name server such as Domain
Computer_network
Widely used CAD 3D data exchange file format
information modeling data and specify ISO 10303-21 as an exchange encoding. This graph shows the entity instances and the references between them in a file
ISO_10303-21
Part of the mathematical subject of group theory
amalgamation and HNN extension, via the notion of the fundamental group of a graph of groups. Bass–Serre theory can be regarded as one-dimensional version
Bass–Serre_theory
the graph by populating global variables Nodes, Incoming, Now, and Next. The set Nodes stores the set of nodes in the graph. The map Incoming maps each
Linear temporal logic to Büchi automaton
Linear_temporal_logic_to_Büchi_automaton
Set of learning techniques in machine learning
by encoding one of the views with a slow moving average of the model parameters as they are being modified during training. The goal of many graph representation
Feature_learning
etc. A list of sign types would include: writing, symbol, index, image, map, graph, diagram, etc. Some combinations of signs can be multi-modal, i.e. different
Modality_(semiotics)
Machine learning technique
Xiaolong (2018). Non-Local Neural Networks. CVPR. Veličković, Petar (2018). Graph Attention Networks. ICLR. Kitaev, Nikita (2020). Reformer: The Efficient
Attention_(machine_learning)
NP-hard problem in combinatorial optimization
version of the TSP (where given a length L, the task is to decide whether the graph has a tour whose length is at most L) belongs to the class of NP-complete
Travelling_salesman_problem
System of digitally encoding numbers
encodings provide Boolean transformations for converting groups of three BCD-encoded digits to and from 10-bit values that can be efficiently encoded
Binary-coded_decimal
Group that admits a formal description in terms of reflections
Coxeter matrix can be conveniently encoded by a Coxeter diagram, as per the following rules. The vertices of the graph are labelled by generator subscripts
Coxeter_group
can be used for Sudoku codes. Belief propagation on the tanner graph or factor graph to decode Sudoku codes is discussed in by Sayir. and Moon This method
Sudoku_code
on generalized basis reduction, transitive closures on maps (which may encode infinite graphs), dependence analysis and bounds on piecewise step-polynomials
Integer_set_library
Digital text encoding
Instruments. 2002. p. 555. TI-89 Titanium Graphing Calculator (PDF). Texas Instruments. 2010. p. 924. Voyage™ 200 Graphing Calculator (PDF). Texas Instruments
TI_calculator_character_sets
Collaborative multilingual knowledge graph
Wikidata is a collaboratively edited multilingual knowledge graph hosted by the Wikimedia Foundation. It is a source of open data released under the Creative
Wikidata
SpringerLink. Gentry, Craig; Gorbunov, Sergey; Halevi, Shai (2015). "Graph-Induced Multilinear Maps from Lattices". Theory of Cryptography. Lecture Notes in Computer
Cryptographic_multilinear_map
Abstract mathematical system of two types of objects and a relation between them
blue and red vertices and maps edges to edges. That is to say that there exists a color interchanging automorphism of this graph. Consequently, the incidence
Incidence_structure
Spatial analysis tools for geographic networks
A transport network, or transportation network, is a network or graph in geographic space, describing an infrastructure that permits and constrains movement
Transport_network_analysis
Academic field
foundation of graph theory, a branch of mathematics that studies the properties of pairwise relations in a network structure. The field of graph theory continued
Network_science
classes of graph C*-algebras and Exel–Laca algebras, giving a unified framework for studying these objects. This is because every graph can be encoded as an
Ultragraph_C*-algebra
File format for sequences and quality scores
Element Biosciences AVITI reads are encoded following the Sanger convention: Phred quality scores from 0 to 93 are encoded using ASCII 33 to 126. Raw reads
FASTQ_format
and parsing entire JSON or XML texts or entire Java Object serialization graphs. The space and performance scaling of an ItemSpace is smooth as any size
InfinityDB
Number with a real and an imaginary part
two-dimensional graphs, complex functions have four-dimensional graphs and may usefully be illustrated by color-coding a three-dimensional graph to suggest
Complex_number
Technical standard for retrieval of GIS data
an XML-encoded description of service properties and the data holdings offered by the server inquired; DescribeCoverage: delivers XML-encoded descriptions
Web_Coverage_Service
Type of data encoding
differential phase shift keying, SDPSK, where encoding would be +90° for a "1" and −90° for a "0". In differentially-encoded QPSK (DQPSK), the phase-shifts are 0°
Phase-shift_keying
Concept in machine learning
as a vector via Word2vec. Thus a relationship between two words can be encoded in a matrix. However, for more complex relationships such as subject-object-verb
Tensor_(machine_learning)
pipeline, e.g. texture maps, vertex buffers, shaders, index buffers, or other pieces of 3D model data. RGB888 An RGB color value encoded as 8 bits per channel
Glossary_of_computer_graphics
Human-readable data serialization language
ones not shown here are sets, ordered maps, timestamps, and hexadecimal. Here is an example of base64-encoded binary data. --- picture: !!binary |
YAML
GRAPH ENCODED-MAP
GRAPH ENCODED-MAP
Girl/Female
Indian
Grape like
Girl/Female
Hindu
Grape, Belonging to kashmir
Boy/Male
Arabic, Modern
Grape
Boy/Male
Biblical
A grape, a knot.
Boy/Male
Hebrew, Hindu, Indian, Marathi
Grape Cluster
Girl/Female
Muslim
Grape vine
Boy/Male
Biblical
Dowry, endowed.
Biblical
a grape; a knot
Girl/Female
Indian
Grape vine
Girl/Female
Tamil
Kaslunira | கஸà¯à®²à¯à®‚நீரா
Grape, Belonging to kashmir
Kaslunira | கஸà¯à®²à¯à®‚நீரா
Boy/Male
Biblical
A grape, a knot.
Boy/Male
Hindu, Indian, Punjabi, Sikh
From Kashmir; Grape
Girl/Female
Arabic, Assamese, Hindu, Indian, Kannada, Malayalam, Marathi, Muslim, Telugu
Grape
Boy/Male
African, Arabic
Grape Vines
Girl/Female
Biblical
Endowed, endowing.
Boy/Male
Muslim
Grape
Girl/Female
Muslim
Grape like
Boy/Male
Afghan, Hebrew, Indian, Parsi, Sanskrit
Grape Presser; World; Song
Boy/Male
Indian
Grape
Boy/Male
Biblical
Dowry, endowed.
GRAPH ENCODED-MAP
GRAPH ENCODED-MAP
Girl/Female
American, Arabic, French, Hebrew, Hindu, Indian, Tamil
Happiness; Lucky
Girl/Female
Latin
From Ardea.
Boy/Male
Anglo, British, English
From the Long Paddock
Boy/Male
Indian
Patience
Surname or Lastname
English
English : variant spelling of Bain.Irish : variant of Bain 1.Perhaps French, an occupational name from Old French ban(n)e ‘hamper’, ‘large basket’.
Surname or Lastname
English
English : from a short form of the personal name Boniface.Perhaps an Americanized spelling of German Fese, a variant of Feese.
Girl/Female
Bengali, Indian, Kannada, Marathi
Fire
Girl/Female
Greek Latin English
Protector.
Boy/Male
Tamil
Sharer or heir
Girl/Female
Indian
Walking with proud, Swinging gait, Pretty
GRAPH ENCODED-MAP
GRAPH ENCODED-MAP
GRAPH ENCODED-MAP
GRAPH ENCODED-MAP
GRAPH ENCODED-MAP
n.
See Grasshopper, and Frog hopper, Grape hopper, Leaf hopper, Tree hopper, under Frog, Grape, Leaf, and Tree.
n.
A well-known edible berry growing in pendent clusters or bunches on the grapevine. The berries are smooth-skinned, have a juicy pulp, and are cultivated in great quantities for table use and for making wine and raisins.
a.
Resembling a grape.
n.
A mangy tumor on the leg of a horse.
p. pr. & vb. n.
of Encore
imp. & p. p.
of Endow
v. t.
To render cold.
v. t.
To call for a repetition or reappearance of; as, to encore a song or a singer.
n.
A sort of grape.
imp. & p. p.
of Enjoy
a.
Composed of, or resembling, grapes.
a.
Wearing or having a snood.
n.
A seed of the grape.
imp. & p. p.
of Encore
n.
The plant which bears this fruit; the grapevine.
n.
A call or demand (as, by continued applause) for a repetition; as, the encores were numerous.
a.
Endowed with delight.
n.
Grapeshot.