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graph theory and network analysis, node influence metrics are measures that rank or quantify the influence of every node (also called vertex) within a graph
Node_influence_metric
Level structure Link popularity Mac Lane's planarity criterion Node influence metric Reconstruction conjecture Scientific classification Cladistics Neighbor-joining
List_of_graph_theory_topics
Degree of connectedness within a graph
designed to measure the influence of nodes in general. Recently, network physicists have begun developing node influence metrics to address this problem
Centrality
Clustering and community detection algorithm
granular quality metric could potentially detect all substructures in a graph. The Leiden algorithm starts with a graph of disorganized nodes (a) and sorts
Leiden_algorithm
Decision support tool
of three types of nodes: Decision nodes – typically represented by squares Chance nodes – typically represented by circles End nodes – typically represented
Decision_tree
Measure of centrality in a network based on nodal influence
of a node is a measure of centrality in a network. It was introduced by Leo Katz in 1953 and is used to measure the relative degree of influence of an
Katz_centrality
Metrics of the bibliometric impact of individual authors
Author-level metrics are citation metrics that measure the bibliometric impact of individual authors, researchers, academics, and scholars. Many metrics have
Author-level_metrics
Metric on networks
The rich-club coefficient is a metric on graphs and networks, designed to measure the extent to which well-connected nodes also connect to each other. Networks
Rich-club_coefficient
Network analysis and visualization package for Microsoft Excel
customizable visual attributes and tags. NodeXL enables researchers to undertake social network analysis work metrics such as centrality, degree, and clustering
NodeXL
Measurement of the power in a radio signal
between wireless nodes. However, a power level metric like RCPI generally cannot comment on the quality of the link like other metrics such as travel time
Received signal strength indicator
Received_signal_strength_indicator
Network for communications over distance
nodes may cooperate to pass a message from an originating node to a destination node via multiple network hops. For this routing function, each node in
Telecommunications_network
Academic field
social networks, considering distinct elements or actors represented by nodes (or vertices) and the connections between the elements or actors as links
Network_science
Approximate nearest neighbor search algorithm
Each vector is a node, and links connect it to some nearby vectors. The graph has several layers: upper layers contain fewer nodes and act like a rough
Hierarchical navigable small world
Hierarchical_navigable_small_world
green diffuse reflection color. Metric (key = "distance") {float {0.01}} Metric (key = "up") {string {"z"}} GeometryNode $node1 { Name {string {"Cube"}}
Open_Game_Engine_Exchange
Free and open-source database management system
"NodeTool". Cassandra Wiki. Archived from the original on January 13, 2016. Retrieved January 5, 2016. "How to monitor Cassandra performance metrics"
Apache_Cassandra
Scale-free network generation algorithm
scale-free and certainly contain few nodes (called hubs) with unusually high degree as compared to the other nodes of the network. The BA model tries to
Barabási–Albert_model
When a packet is passed from one network segment to the next
"traversed routers" and "jumps from node to node". For example, RFC 6130 defines a "1-hop neighbor" as any other node that is directly reachable via the
Hop_(computer_networking)
Network that allows computers to share resources and communicate with each other
network: each node is connected to its left and right neighbor node, such that all nodes are connected and that each node can reach each other node by traversing
Computer_network
Metric for source code testing
software bugs compared to a program with low code coverage. Many different metrics can be used to calculate test coverage. Some of the most basic are the
Code_coverage
Clustering and community detection algorithm
found by optimizing modularity locally on all nodes, then each small community is grouped into one node and the first step is repeated. The method is
Louvain_method
Routing scheme for ad hoc mobile networks
better metric is used. Stale entries are those entries that have not been updated for a while. Such entries as well as the routes using those nodes as next
Destination-Sequenced Distance Vector routing
Destination-Sequenced_Distance_Vector_routing
Method of representing systems
CK(j) is the score of node j, α controls how much influence farther-away nodes have (smaller = less influence), and β gives every node a small base score
Biological_network
Graph where most nodes are reachable in a small number of steps
Small-world network example Hubs are bigger than other nodes A small-world network is a graph characterized by a high clustering coefficient and low distances
Small-world_network
Analysis of social structures using network and graph theory
refers to a group of metrics that aim to quantify the "importance" or "influence" (in a variety of senses) of a particular node (or group) within a network
Social_network_analysis
Tendency for similar nodes to be connected
Assortativity, or assortative mixing, is a preference for a network's nodes to attach to others that are similar in some way. Though the specific measure
Assortativity
curvature and (2) an edge between two nodes is present if they are close according to a function of the metric (typically either a Heaviside step function
Hyperbolic_geometric_graph
Network whose degree distribution follows a power law
asymptotically. That is, the fraction P(k) of nodes in the network having k connections to other nodes goes for large values of k as P ( k ) ∼ k −
Scale-free_network
Measure of network community structure
modularity have dense connections between the nodes within modules but sparse connections between nodes in different modules. Modularity is often used
Modularity_(networks)
Concept in natural language processing
terms/concepts. For example, a naive metric for the comparison of concepts ordered in a partially ordered set and represented as nodes of a directed acyclic graph
Semantic_similarity
Component of Department of Defense Architecture Framework
Operational Node Connectivity Description (OV-2) : Operational nodes, activities performed at each node, and connectivites and information flow between nodes. OV-3
Operational_View
Measure of a graph's centrality, based on shortest paths
Betweenness centrality measures how frequently a node appears on the shortest path between other nodes in the graph. For every pair of vertices in a connected
Betweenness_centrality
Concept in graph theory
structure if the nodes of the network can be easily grouped into (potentially overlapping) sets of nodes such that each set of nodes is densely connected
Community_structure
Python library for graphs and networks
The connections between nodes are symmetrical, meaning if node A is connected to node B, then node B is also connected to node A. MultiGraphs allow multiple
NetworkX
Decentralized type of wireless network
(table) of minimum distance to every node. The cost of reaching a destination is calculated using various route metrics. RIP uses the hop count of the destination
Wireless_ad_hoc_network
Search algorithm
pruning is a tree search algorithm that seeks to decrease the number of nodes that are evaluated by the minimax algorithm in its search tree. It is an
Alpha–beta_pruning
Arrangement of a communication network
Network topology is the arrangement of the elements (links, nodes, etc.) of a communication network. Network topology can be used to define or describe
Network_topology
Physical simulation to visualize graphs
difference) between Euclidean and ideal distances between nodes is then equivalent to a metric multidimensional scaling problem. A force-directed graph
Force-directed_graph_drawing
Network service attack performed by multiple fake identities
cryptographic owner via signatures, bypassing node-voting consensus. Attackers cannot amplify influence by spawning fake identities, as security relies
Sybil_attack
Two closely related models for generating random graphs
collection of all graphs which have n {\displaystyle n} nodes and M {\displaystyle M} edges. The nodes are considered to be labeled, meaning that graphs obtained
Erdős–Rényi_model
Similarity in network analysis occurs when two nodes (or other more elaborate structures) fall in the same equivalence class. There are three fundamental
Similarity_(network_science)
Study of graphs as a representation of relations between discrete objects
Using "nodes" to represent symptoms and "edges" to signify their direct interactions, symptoms like insomnia and fatigue are shown how they influence each
Network_theory
Knowledge base that represents semantic relations between concepts in a network
model consists of semantic nodes, semantic links between nodes, and a semantic space that defines the semantics of nodes and links and reasoning rules
Semantic_network
Node deletion is the procedure of removing a node from a network, where the node is either chosen randomly or directly. Node deletion is used to test the
Node_deletion
Global system of connected computer networks
sharing network proposed by ARPA. ARPANET development began with two network nodes which were interconnected between the University of California, Los Angeles
Internet
Straight path on a curved surface or a Riemannian manifold
more generally metric geometry. In general relativity, geodesics in spacetime describe the motion of point particles under the influence of gravity alone
Geodesic
to the theory in network science which states that, based on node attributes, similar nodes may be more likely to attach to each other than dissimilar ones
Network_homophily
City important to the world economy
world city, alpha city, or world center) is a city that serves as a primary node in the global economic network. The concept originates from geography and
Global_city
Free and open-source anonymity network
of mix nodes is selected to route network traffic, based on a reputation system that evaluates quality of service metrics. The selected nodes are then
Nym_(mixnet)
Management of the flow of resources
in the nodes of the network. Distribution resource planning (DRP) is similar to MRP, except that it does not concern activities inside the nodes of the
Logistics
Algorithm used by Google Search to rank web pages.
algorithm based on the Webgraph, created by all World Wide Web pages as nodes and hyperlinks as edges, taking into consideration authority hubs such as
PageRank
Discrete set of Boolean variables
determines a topology (connectivity) on the set of variables, which then become nodes in a network. Usually, the dynamics of the system is taken as a discrete
Boolean_network
Concept in graph theory and network analysis
of a node, the group degree centrality of a group S {\textstyle S} of nodes is simply defined as the number of non-group nodes adjacent to nodes in S
Group_centrality
Berthing mechanism used to connect ISS modules
covers on Node 3's axial ACBM Node Structural Test Article internal 720° View[permanent dead link] Showing the structural elements influencing CBM pre-berth
Common_Berthing_Mechanism
Network representing spatial objects
associated with geometric objects, i.e., the nodes are located in a space equipped with a certain metric. The simplest mathematical realization of spatial
Spatial_network
Method of generating random small-world graphs
because they have a constant, random, and independent probability of two nodes being connected, ER graphs have a low clustering coefficient. They do not
Watts–Strogatz_model
In graph theory, the mathematically simplest spatial network
by randomly placing N nodes in some metric space (according to a specified probability distribution) and connecting two nodes by an edge if and only
Random_geometric_graph
Speed of the heartbeat, measured in beats per minute
by the sinoatrial node. It is also influenced by central factors through sympathetic and parasympathetic nerves. Nervous influence over the heart rate
Heart_rate
Concept in network science
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 the probability
Degree_distribution
Grouping a set of objects by similarity
information. Graph-based models: a clique, that is, a subset of nodes in a graph such that every two nodes in the subset are connected by an edge can be considered
Cluster_analysis
Emergent scientific field in sociology and statistics
in which, there are multiple types of nodes (multi-node) and multiple types of links (multi-plex). Multi-node multi-plex networks are generally referred
Dynamic_network_analysis
Class of routing protocols
fact that the protocol manipulates vectors (arrays) of distances to other nodes in the network. The distance vector algorithm was the original ARPANET routing
Distance-vector routing protocol
Distance-vector_routing_protocol
Server-side open source web application framework
PHP; Grails in Groovy; Phoenix in Elixir; Play in Scala; and Sails.js in Node.js. Well-known sites that use Ruby on Rails include Airbnb, Archive of Our
Ruby_on_Rails
Division of the autonomic nervous system
(HRV), especially measures that reflect vagal modulation of the sinoatrial node, are widely used as surrogate markers of cardiac parasympathetic tone in
Parasympathetic nervous system
Parasympathetic_nervous_system
Stylesheet language
implementation. The official "sass" node module on npm, which is Dart Sass compiled to pure JavaScript. The official "sass-embedded" node module which is a JavaScript
Sass_(style_sheet_language)
United Kingdom-based think tank
results should be interpreted as indicating the importance of cities as nodes in the world city network (i.e. enabling corporate globalization). (1) or
Globalization and World Cities Research Network
Globalization_and_World_Cities_Research_Network
Term in market economics
(Pliatsidis, 2024) For a given set of nodes, each with degree k, the power-law exponent (α) serves as a pivotal metric for analyzing concentration within
Market_concentration
US-based software and services company
existing customers. Palantir's TITAN (Tactical Intelligence Targeting Access Node) is a mobile command vehicle equipped with AI and analytics software for
Palantir
Stochastic process formalizing cumulative advantage
preferential attachment. A small number of nodes have a large number of incoming edges, whereas a large number of nodes have a small number of incoming edges
Preferential_attachment
Instrument for measuring, keeping or indicating time
the movable feasts, and the position in the zodiac of the Moon's ascending node. The upper section contained 7 dials, each about 30 cm in diameter, showing
Clock
Statistical analysis of written publications
is closely associated with scientometrics (the analysis of scientific metrics and indicators), to the point that both fields largely overlap. Bibliometrics
Bibliometrics
all real world networks evolve over time, either by adding or removing nodes or links over time. Often all of these processes occur simultaneously, such
Evolving_network
network follows a power-law, the network is scale-free; if any two arbitrary nodes in a network can be connected in a very small number of steps, the network
Fractal_dimension_on_networks
Computational model used in machine learning
biological neural networks. A neural network consists of connected units or nodes called artificial neurons, which loosely model the neurons in the brain
Neural network (machine learning)
Neural_network_(machine_learning)
Republic of Russia
million metric tonnes of coal produced in Tuva, which accounts for approximately 9.4% of Russia's average annual coal production of 423 million metric tonnes
Tuva
Networks with multiple kinds of relations
there are as many layers as there are dimensions, and the links between nodes within each layer are simply all the links for a given dimension. In elementary
Multidimensional_network
Social structure made up of a set of social actors
rise to new network metrics. A key concern with networks extracted from social media is the lack of robustness of network metrics given missing data.
Social_network
Deep reinforcement learning method
colors added to indicate which technique achieved the best value for each metric and each design. Green indicates AlphaChip, yellow manual design, and blue
AlphaChip
Comparison of a wide range of lengths
Metres are used in these tables to provide a common reference point, but metric prefixes above "k" are not commonly used with metres. So for example, 1
Orders_of_magnitude_(length)
represents concepts (e.g., "house", "door") as nodes, and relations among concepts as links between the nodes (e.g. "has-a"). Ross Quillian wrote the first
History of artificial intelligence
History_of_artificial_intelligence
Model in network science
This model can explain that nodes with different characteristics acquire links at different rates. It predicts that a node's growth depends on its fitness
Bianconi–Barabási_model
Effect of general relativity
predicted that the rotation of a massive object would distort the spacetime metric, making the orbit of a nearby test particle precess. This does not happen
Frame-dragging
Symbols for constants, special functions
mathematical finance the Christoffel symbols that describe components of a metric connection the stack alphabet in the formal definition of a pushdown automaton
Greek letters used in mathematics, science, and engineering
Greek_letters_used_in_mathematics,_science,_and_engineering
2026 South Korean television series
AI content creation system launched in February 2026. The platform uses a node-based integrated pipeline that processes prompts, image and video generation
Agent_Kim_Reactivated
relationships can be represented with a network or graph, where each vertex (or node) represents an actor and each link represents a relationship.” At the present
Artificial intelligence in marketing
Artificial_intelligence_in_marketing
Analytical method for social structure
setting procedure(s) for partitioning (clustering) social network's units (nodes, vertices, actors), based on specific patterns, which form a distinctive
Blockmodeling
Set of rules describing computer system
latency (latency is the amount of time that it takes for information from one node to travel to the source) and throughput. Sometimes other considerations,
Computer_architecture
The underlying idea (and main assumption) is that the more distant two nodes are in the network, the less efficient their communication will be. The
Efficiency_(network_science)
Area of discrete mathematics
between objects. A graph in this context is made up of vertices (also called nodes or points) which are connected by edges (also called arcs, links, or lines)
Graph_theory
Algorithm
the average fraction of neighboring nodes of a node that do not belong to any community that the benchmark node belongs to. This parameter controls the
Lancichinetti–Fortunato–Radicchi benchmark
Lancichinetti–Fortunato–Radicchi_benchmark
Natural interconnection of food chains
distance between all nodes in a web (D) and multiplied by the total number of links (L) to obtain link-density (LD), which is influenced by scale-dependent
Food_web
Variation in the time intervals between heartbeats
physiological inputs of the low frequency (LF) activity (0.04 to 0.15 Hz). The SA node receives several different inputs and the instantaneous heart rate or RR
Heart_rate_variability
Concept in celestial mechanics
as does the velocity of an object traveling under the gravitational influence of the primary. If an object is in a circular or elliptical orbit, its
Escape_velocity
In business operations, controlling the process of production of goods
strategy. Metrics in operations management can be broadly classified into efficiency metrics and effectiveness metrics. Effectiveness metrics involve:
Operations_management
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
Shape of the Moon's sunlit portion as viewed from Earth
calendars (such as the Islamic Hijri calendar) rely completely on this metric. The fact, however, that a year of twelve lunar months is ten or eleven
Lunar_phase
Relevance for a specific subject area or industry of a website
a node. Its prestige is defined by the quantity of nodes that have directed edges pointing on the website and the quality of those nodes. The nodes’ quality
Domain_authority
IEEE standard for mesh networking
supports both broadcast/multicast and unicast delivery using "radio-aware metrics over self-configuring multi-hop topologies." 802.11s inherently depends
IEEE_802.11s
Free and open-source object relational database management system
(write-ahead logs (WAL)) to replica nodes asynchronously, with the ability to run read-only queries against these replicated nodes. This allows splitting read
PostgreSQL
Search engine from Google
RankDex" Archived January 20, 2012, at the Wayback Machine, RankDex "Method for node ranking in a linked database". Google Patents. Archived from the original
Google_Search
Conceptual model in philosophy of science
set of variables (or nodes). Each node is connected by an arrow to one or more other nodes upon which it has a causal influence. An arrowhead delineates
Causal_model
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NODE INFLUENCE-METRIC
NODE INFLUENCE-METRIC
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