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Graph modeling collaboration in a social network
In mathematics and social science, a collaboration graph is a graph modeling some social network where the vertices represent participants of that network
Collaboration_graph
Degrees of separation from Paul Erdős
researchers, using the Erdős number as a proxy. For example, Erdős collaboration graphs can tell us how authors cluster, how the number of co-authors per
Erdős_number
Area of discrete mathematics
computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context
Graph_theory
Directed graph describing citations in documents
A citation graph (or citation network), in information science and bibliometrics, is a directed graph that describes the citations within a collection
Citation_graph
Analysis of social structures using network and graph theory
business networks, knowledge networks, difficult working relationships, collaboration graphs, kinship, disease transmission, and sexual relationships. These networks
Social_network_analysis
Hungarian mathematician (1913–1996)
20th century. Erdős pursued and proposed problems in discrete mathematics, graph theory, number theory, mathematical analysis, approximation theory, set
Paul_Erdős
American mathematician
areas of spectral graph theory, extremal graph theory and random graphs, in particular in generalizing the Erdős–Rényi model for graphs with general degree
Fan_Chung
API developer platform by Microsoft
"Microsoft Graph APIs: The Glue That's Starting to Stick -- Redmondmag.com". Redmondmag. Retrieved 2022-02-05. "Microsoft Recasts Office as New Collaboration Resource"
Microsoft_Graph
Graph generated by a random process
In mathematics, random graph is the general term to refer to probability distributions over graphs. Random graphs may be described simply by a probability
Random_graph
Cryptocurrency
framework, and developed in collaboration with Coinbase, Google, and the Ethereum Foundation’s decentralized AI team. In 2025, The Graph began the integration
The_Graph
represents the collaboration graph of film actors i.e. movie stars. The co-stardom network can be represented by an undirected graph. Nodes correspond
Co-stardom_network
Approximate nearest neighbor search algorithm
datasets. HNSW stores vectors in a graph. Each vector is a node, and links connect it to some nearby vectors. The graph has several layers: upper layers
Hierarchical navigable small world
Hierarchical_navigable_small_world
Two closely related models for generating random graphs
the mathematical field of graph theory, the Erdős–Rényi models are two closely related models for generating random graphs and the evolution of a random
Erdős–Rényi_model
Network whose degree distribution follows a power law
transformation which converts random graphs to their edge-dual graphs (or line graphs) produces an ensemble of graphs with nearly the same degree distribution
Scale-free_network
Graph database
JanusGraph is an open source, distributed graph database under The Linux Foundation. JanusGraph is available under the Apache License 2.0. The project
JanusGraph
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
Degree of connectedness within a graph
In graph theory and network analysis, indicators of centrality assign numbers or rankings to nodes within a graph corresponding to their network position
Centrality
Mathematical theory on behavior of connected clusters in a random graph
bottom? Similarly, one can ask, given a connected graph at what fraction 1 – p of failures the graph will become disconnected (no large component). The
Percolation_theory
Knowledge base that represents semantic relations between concepts in a network
used as a form of knowledge representation. It is a directed or undirected graph consisting of vertices, which represent concepts, and edges, which represent
Semantic_network
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
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
Graph database implemented in Java
global graph intelligence company that provides technology for analyzing and managing connected data. It is most known for creating the Neo4j Graph database
Neo4j
Field studying how people work in groups with the support of computing systems
Computer-supported cooperative work (CSCW) or computer-supported collaboration is the study of how people utilize technology collaboratively, often towards
Computer-supported cooperative work
Computer-supported_cooperative_work
Study of graphs defined by geometric means
Geometric graph theory in the broader sense is a large and amorphous subfield of graph theory, concerned with graphs defined by geometric means. In a stricter
Geometric_graph_theory
Method of generating random small-world graphs
The Watts–Strogatz model is a random graph generation model that produces graphs with small-world properties, including short average path lengths and
Watts–Strogatz_model
Standard hostname for a networked device's loopback interface
Transport Social Scientific collaboration Biological Artificial neural Interdependent Semantic Spatial Dependency Flow on-Chip Graphs Features Clique Component
Localhost
3-regular graph with no 3-edge-coloring
In the mathematical field of graph theory, a snark is an undirected graph with exactly three edges per vertex whose edges cannot be colored with only three
Snark_(graph_theory)
Process by which people befriend similar people
policies have a decreased influence on fertility rates in such populations. In graph representation learning, homophily means that nodes with the same label
Homophily
Mixing property of Markov chains and graphs
In theoretical computer science, graph theory, and mathematics, the conductance is a parameter of a Markov chain that is closely tied to its mixing time
Conductance_(graph_theory)
Statistical models for network analysis
Exponential family random graph models (ERGMs) are a set of statistical models used to study the structure and patterns within networks, such as those
Exponential family random graph models
Exponential_family_random_graph_models
Software package for graph visualization
Graphviz (short for Graph Visualization Software) is a package of open-source tools initiated by AT&T Labs Research for drawing graphs (as in nodes and edges
Graphviz
Study of graphs as a representation of relations between discrete objects
science, and network science, network theory is a part of graph theory. It defines networks as graphs where the vertices or edges possess attributes. Network
Network_theory
Social structure made up of a set of social actors
sociology Network theory – Study of graphs as a representation of relations between discrete objects Scientific collaboration network Semiotics of social networking –
Social_network
Canadian computing company
Plotly provides online graphing, analytics, and statistics tools for individuals and collaboration, as well as scientific graphing libraries for Python
Plotly
In graph theory, the mathematically simplest spatial network
In graph theory, a random geometric graph (RGG) is the mathematically simplest spatial network, namely an undirected graph constructed by randomly placing
Random_geometric_graph
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
Arrangement of a communication network
network and may be depicted physically or logically. It is an application of graph theory wherein communicating devices are modeled as nodes and the connections
Network_topology
API for graph data and graph operations
GraphBLAS (/ˈɡræfˌblɑːz/ ) is an API specification that defines standard building blocks for graph algorithms in the language of linear algebra. GraphBLAS
GraphBLAS
A hyperbolic geometric graph (HGG) or hyperbolic geometric network (HGN) is a special type of spatial network where (1) latent coordinates of nodes are
Hyperbolic_geometric_graph
Network that allows computers to share resources and communicate with each other
Transport Social Scientific collaboration Biological Artificial neural Interdependent Semantic Spatial Dependency Flow on-Chip Graphs Features Clique Component
Computer_network
Intersection graph for curves in the plane
graph theory, a string graph is an intersection graph of curves in the plane; each curve is called a "string". Given a graph G, G is a string graph if
String_graph
Network with non-trivial topological features
network is a graph (network) with non-trivial topological features—features that do not occur in simple networks such as lattices or random graphs but often
Complex_network
Scale-free network generation algorithm
they have power-law (or scale-free) degree distributions, while random graph models such as the Erdős–Rényi (ER) model and the Watts–Strogatz (WS) model
Barabási–Albert_model
Metric on networks
instead considering the sub graph on only nodes with a richness measure of at least r. For example, on scientific collaboration networks, replacing the degree
Rich-club_coefficient
Defunct search engine
attuned to an advanced hybrid version of bayesian search theory and collaboration graph theory.[clarification needed] The totality of a topic will ideally
Yebol
Method of representing systems
relations between various biological entities. In general, networks or graphs are used to capture relationships between entities or objects. A network
Biological_network
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
An enterprise social graph is a representation of the extended social network of a business, encompassing relationships among its employees, vendors,
Enterprise_social_graph
geometric group theory, a graph of groups is an object consisting of a collection of groups indexed by the vertices and edges of a graph, together with a family
Graph_of_groups
Distributed collaboration is a way of collaboration wherein participants, regardless of their location, work together to reach a certain goal. This usually
Distributed_collaboration
Computer networking concept
Transport Social Scientific collaboration Biological Artificial neural Interdependent Semantic Spatial Dependency Flow on-Chip Graphs Features Clique Component
Broadcast, unknown-unicast and multicast traffic
Broadcast,_unknown-unicast_and_multicast_traffic
Graph used in fluid dynamics
engineering, the Moody chart or Moody diagram (also Stanton diagram) is a graph in non-dimensional form that relates the Darcy–Weisbach friction factor
Moody_chart
Slovenian mathematician
2016 Vladimir Batagelj and Andrej Mrvar, Some Analyses of Erdős Collaboration Graph, Social Networks, 22, 173–186, 2000 Vladimir Batagelj and Andrej
Andrej_Mrvar
Measure of centrality in a network based on nodal influence
In graph theory, the Katz centrality or alpha centrality of a node is a measure of centrality in a network. It was introduced by Leo Katz in 1953 and
Katz_centrality
Graph in climate science
Hockey stick graphs present global or hemispherical mean global surface temperatures of the distant past, as shown by quantitative climate reconstructions
Hockey stick graph (global temperature)
Hockey_stick_graph_(global_temperature)
Network for communications over distance
Transport Social Scientific collaboration Biological Artificial neural Interdependent Semantic Spatial Dependency Flow on-Chip Graphs Features Clique Component
Telecommunications_network
Slang for an unofficial community of people who share a common interest
their experience with other people within the groupware environment. Collaboration and cooperation are available through instant messages; people can discuss
Tribe_(internet)
Electronic communication subsystem on an integrated circuit
Transport Social Scientific collaboration Biological Artificial neural Interdependent Semantic Spatial Dependency Flow on-Chip Graphs Features Clique Component
Network_on_a_chip
Interatomic potentials constructed by machine learning programs
scale model size. Graph Parallelism, introduced by Sriram et al. (ICLR 2022), addressed this by distributing a single input graph across multiple GPUs
Machine-learned interatomic potential
Machine-learned_interatomic_potential
Concept in network science
stochastic block model is a generative model for random graphs. This model tends to produce graphs containing communities, subsets of nodes characterized
Stochastic_block_model
Planar maps require at most four colors
terms of graph theory, by considering it in terms of constructing a graph coloring of the planar graph of adjacencies between regions. In graph-theoretic
Four_color_theorem
Hoffman (1944), mathematician known for constructing the Hoffman–Singleton graph Bruce Mazlish (1944), historian and professor at Massachusetts Institute
List of Columbia College people
List_of_Columbia_College_people
Structural analysis of a network
In network science, a biased random walk on a graph is a time path process in which an evolving variable jumps from its current state to one of various
Biased_random_walk_on_a_graph
Network representing spatial objects
A spatial network (sometimes also geometric graph) is a graph in which the vertices or edges are spatial elements associated with geometric objects, i
Spatial_network
Managing versions of source code or data
the resulting graph is no longer a tree, as nodes can have multiple parents, but is instead a rooted directed acyclic graph (DAG). The graph is acyclic since
Version_control
Concept in graph theory
the cliques in the original graph while the edges of the clique graph record the overlap of the clique in the original graph. Applying any of the previous
Community_structure
Chatbot developed by Microsoft
Spataro, the head of Microsoft 365, Copilot for Microsoft 365 uses Microsoft Graph, an API, to evaluate context and available Microsoft 365 user data before
Microsoft_Copilot
Coronet Films; the Chudnovsky brothers; fractals come from plotting on a graph imaginary numbers against real numbers and have self-similarity, and Ian
List_of_Equinox_episodes
Measure of network community structure
Modularity is a measure of the structure of networks or graphs which measures the strength of division of a network into modules (also called groups, clusters
Modularity_(networks)
Network analysis and visualization package for Microsoft Excel
elements of a graph structure such as edges and nodes. NodeXL can also import a variety of graph formats such as edgelists, adjacency matrices, GraphML, UCINet
NodeXL
Concept in machine learning
designs of machine learning in the form of tensor graphs. This leads to new architectures, such as tensor-graph convolutional networks (TGCN), which identify
Tensor_(machine_learning)
Collaborative knowledge management platform
application developed by Roam Research Inc. The system is built on a directed graph, which frees it from the constraints of the classic filesystem tree. It
Roam_(software)
Topics referred to by the same term
graphs as a representation of relations between discrete objects Network science, an academic field that studies complex networks Networks, a graph with
Network
Scientific collaboration network is a social network where nodes are scientists and links are co-authorships as the latter is one of the most well documented
Scientific collaboration network
Scientific_collaboration_network
British mathematician
theorem, linkless embeddings, graph minors and structure, the perfect graph conjecture, the Hadwiger conjecture, claw-free graphs, χ-boundedness, and the Erdős–Hajnal
Paul_Seymour_(mathematician)
Musical artist
Graph Nobel is a Canadian singer, songwriter and rapper. Her music is "hip-hop inspired with punk rock abandon". Born and raised in Toronto, Ontario to
Graph_Nobel
one-mode projection is always less informative than the original bipartite graph, an appropriate method for weighting network connections is often required
Bipartite_network_projection
2014 study of social mobility by Gregory Clark
This can be analogised to looking at a graph to understand the trend in the market price of a stock – a graph of a stock price over a one-day period may
The_Son_Also_Rises_(book)
Network whose links change over time
traversed is activated at some point after the current one. Like in a directed graph, a path from i {\displaystyle i} to j {\displaystyle j} does not mean there
Temporal_network
Professionals. Ryan co-authored the book with Michael O'Donnell. The four-graph approach to writing, editing, photography, and design is meant to efficiently
Maestro_concept
Video-sharing platform
and more. Most submissions are generated by individuals, including collaborations between YouTubers and corporate sponsors. Established media, news, and
YouTube
Swedish model, actress, and producer
In The Sky Pictures. In collaboration with Bhushan Kumar's T Series, she was to be producing Sharaabi. "Sara Ali Khan's graph was Amazing to Watch Says
Pragya_Yadav
Family of random graph models
specified for different types of graphs: Simple graphs: Graphs without self-loops or multi-edges. Multi-edge graphs: Graphs allowing multiple edges between
Configuration_model
Center for Discrete Mathematics and Theoretical Computer Science at Rutgers University
1990−1991: Network flows and matching 1992−1992: NP-hard problems: Max Clique, Graph Coloring, and SAT 1993−1994: Parallel algorithms for combinatorial problems
DIMACS
YouTube web series by Alexey Gerasimov
only moved to Georgia in 2019. Wikipedia articles for the YouTubers in the graph: LankyBox, Like Nastya, Mark Rober, Markiplier, MrBeast, and Stokes Twins
Skibidi_Toilet
Research and Population Health International Network (GRaPH-Int) is an international collaboration of experts and researchers focused in the area of population
GRaPH-Int
collaboration with the University of Bath. Carbon nanotubes Graphene nanoribbons Graphene oxide paper Exeter scientists make 'electric cloth' GraphExeter
GraphExeter
Symbolic representation of information using visualization techniques
collective term standing for the whole class of technical genres, including graphs, technical drawings and tables. specific kind of visual display : This is
Diagram
Maximum-entropy random graph models are random graph models used to study complex networks subject to the principle of maximum entropy under a set of
Maximum-entropy random graph model
Maximum-entropy_random_graph_model
Yasyazaru in Baki the Grappler, Trailmon in Digimon Frontier, Nishiya in Speed Grapher, Taiin in Code Geass), dies at age 57. November 13: Dan Hennessey, Canadian
2024_in_animation
Java 3D graphics API
Java 3D is a scene graph-based 3D application programming interface (API) for the Java platform. It runs on top of either OpenGL or Direct3D until version
Java_3D
Concept in network science
In the study of graphs and networks, the degree of a node in a network is the number of connections it has to other nodes and the degree distribution is
Degree_distribution
Set of random variables
of random variables having a Markov property described by an undirected graph. In other words, a random field is said to be a Markov random field if it
Markov_random_field
Intelligence of machines
21), Domingos (2015, Chapter 4) Gradient calculation in computational graphs, backpropagation, automatic differentiation: Russell & Norvig (2021, sect
Artificial_intelligence
Tendency for similar nodes to be connected
coefficient of the remaining degrees at the endpoints of edges. In a directed graph, in-assortativity ( r ( in , in ) {\displaystyle r({\text{in}},{\text{in}})}
Assortativity
Stochastic process formalizing cumulative advantage
Transport Social Scientific collaboration Biological Artificial neural Interdependent Semantic Spatial Dependency Flow on-Chip Graphs Features Clique Component
Preferential_attachment
Swiss mathematician (1707–1783)
logician, geographer, music theorist and engineer. He founded the studies of graph theory and topology and made influential discoveries in many other branches
Leonhard_Euler
Diagnostic plot of binary classifier ability
equivalent to sensitivity and FPR is equal to 1 − specificity, the ROC graph is sometimes called the sensitivity vs (1 − specificity) plot. Each prediction
Receiver operating characteristic
Receiver_operating_characteristic
Analysis of social relationships in terms of network theory
maximum effect. The application of social network analysis during the collaboration between criminals and terrorists when both use smuggling tunnels was
Social network analysis in criminology
Social_network_analysis_in_criminology
Professional network website
analytics Inspired by Facebook's "social graph", LinkedIn CEO Jeff Weiner set a goal in 2012 to create an "economic graph" within a decade. The goal was to create
COLLABORATION GRAPH
COLLABORATION GRAPH
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Surname or Lastname
German (also Gräff), Dutch, and Jewish (Ashkenazic)
German (also Gräff), Dutch, and Jewish (Ashkenazic) : variant of Graf.English : metonymic occupational name for a clerk or scribe, from Anglo-Norman French grafe ‘quill’, ‘pen’ (a derivative of grafer ‘to write’, Late Latin grafare, from Greek graphein).
Boy/Male
Spanish American Italian Latin
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
COLLABORATION GRAPH
COLLABORATION GRAPH
Girl/Female
Indian, Telugu
Clever; Beautiful Woman
Girl/Female
English
Modernand Jennifer.
Girl/Female
Indian
Gods favorite
Girl/Female
Hindu
To listen, Obedient
Boy/Male
Hindu, Indian, Mythological, Punjabi, Sikh, Traditional
King of Gods; Lord Indra
Boy/Male
Afghan, Arabic, German, Indian, Muslim, Pashtun
Heart
Boy/Male
Tamil
Kelvin | கேலà¯à®µà¯€à®¨Â
River Man
Boy/Male
Hindu
Surname or Lastname
German
German : status name from Middle Low German schÅler ‘scholar’, ‘pupil’ (especially one studying to be a clergyman).German : nickname for someone with money, Middle High German scholære.English : variant spelling of Scholar.
Surname or Lastname
English
English : habitational name from a minor place called Studding’s Farm in Herstmonceaux, Sussex, or possibly from an unidentified place in Devon.
COLLABORATION GRAPH
COLLABORATION GRAPH
COLLABORATION GRAPH
COLLABORATION GRAPH
COLLABORATION GRAPH
a.
Having the faculty of, or characterized by, clear and impressive description; vivid; as, a graphic writer.
n.
A chart or graphic representation of the average distribution of rain over the surface of the earth.
n.
A pen-shaped pointing device used to specify the cursor position on a graphics tablet.
adv.
In a graphic manner; vividly.
n.
The quality or state of being graphic.
n.
A mineral, a telluride of gold and silver, of a steel-gray, silver-white, or brass-yellow color. It often occurs in implanted crystals resembling written characters, and hence is called graphic tellurium.
n.
Anything which represents graphically a succession of events, states, or acts; as, an historical map.
n.
An instrument for measuring, and recording graphically, the pressure of the blood in any of the blood vessels of a living animal; -- called also kymographion.
n.
The act of working together; united labor.
a.
Alt. of Graphical
a.
Expressing the type, structure, relations, and reactions of a compound; graphic; -- said of formulae. See under Formula.
a.
Resembling graphite or plumbago.
a.
Alt. of Graphitoidal
n.
Alt. of Graphicalness
n.
An associate in labor, especially in literary or scientific labor.
a.
Pertaining to, containing, derived from, or resembling, graphite.
n.
See Collaborator.
n.
An instrument for recording graphically the variations of temperature, or the indications of a thermometer.
n.
See Graphoscope.
n.
An instrument which, when applied over an artery, indicates graphically the movements or character of the pulse. See Sphygmogram.