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Directed graph where edges have a capacity
theory, a flow network (also known as a transportation network) is a directed graph where each edge has a capacity and each edge receives a flow. The amount
Flow_network
Topics referred to by the same term
Network flow may refer to: Network flow problem Flow network Traffic flow (computer networking) Flow (disambiguation) This disambiguation page lists articles
Network_flow
Class of computational problems
combinatorial optimization, network flow problems are a class of computational problems in which the input is a flow network (a graph with numerical capacities
Network_flow_problem
Computational problem in graph theory
maximum flow problems involve finding a feasible flow through a flow network that obtains the maximum possible flow rate. The maximum flow problem can
Maximum_flow_problem
Equivalence of optimization problems
science and optimization theory, the max-flow min-cut theorem states that in a flow network, the maximum amount of flow passing from the source to the sink
Max-flow_min-cut_theorem
Sequence of network packets from a source computer to a destination
In packet switching networks, traffic flow, packet flow or network flow is a sequence of packets from a source computer to a destination, which may be
Traffic flow (computer networking)
Traffic_flow_(computer_networking)
Overview of and topical guide to algorithms
Ford–Fulkerson algorithm and maximum flow problems D. R. Fulkerson — Ford–Fulkerson algorithm and network flows Robert Tarjan — graph algorithms and data
Outline_of_algorithms
Hardware component that connects a computer to a network
A network interface controller (NIC, also known as a network interface card, network adapter, LAN adapter and physical network interface) is a computer
Network_interface_controller
Communications protocol
NetFlow is a feature that was introduced on Cisco routers around 1996 that provides the ability to collect IP network traffic as it enters or exits an
NetFlow
American based telecommunications provider
that the Flow brand would replace the Lime brand across the merged company, beginning in July 2015. Regions in which Flow operates a mobile network descended
Flow_(brand)
Paradox related to increasing roadway capacity
the observation that adding one or more roads to a road network can slow down overall traffic flow through it. The paradox was first discovered and later
Braess's_paradox
Mathematical optimization problem
cast as a minimum cost flow problem and also that it can be solved efficiently using the network simplex algorithm. A flow network is a directed graph G
Minimum-cost_flow_problem
Algorithm to compute the maximum flow in a network
algorithm (FFA) is a greedy algorithm that computes the maximum flow in a flow network. It is sometimes called a "method" instead of an "algorithm" as
Ford–Fulkerson_algorithm
Graph with actively propelled particles
active flow network is a graph with edges and nodes, where particles inside this graph are propelled by an active mechanism. This type of network is used
Active_flow_network
Topics referred to by the same term
focused Flow, a spacecraft of NASA's GRAIL program Flow network, graph-theoretic version of a mathematical flow Dataflow, a broad concept in computer systems
Flow
Taiwanese-American computer scientist
network flow problems included the representation of all pairwise flows using the Gomory–Hu tree,[GH61] the formulation of the multi-commodity flow problem
T._C._Hu
Concept in graph theory
In graph theory, a nowhere-zero flow or NZ flow is a network flow that is nowhere zero. It is intimately connected (by duality) to coloring planar graphs
Nowhere-zero_flow
Algorithm for computing the maximal flow of a network
algorithm is a strongly polynomial algorithm for computing the maximum flow in a flow network, conceived in 1970 by Israeli (formerly Soviet) computer scientist
Dinic's_algorithm
Packet routing strategy
by sending all packets from any particular network flow through the same path while balancing multiple flows over multiple paths in general. Link aggregation
Equal-cost_multi-path_routing
Network flow problem (mathematics)
multi-commodity flow problem is a network flow problem with multiple commodities (flow demands) between different source and sink nodes. Given a flow network G (
Multi-commodity_flow_problem
Area of discrete mathematics
changes in the underlying flow distribution that accompany attack traffic. Beyond attack detection, flow graph analysis provides network administrators with
Graph_theory
Algorithm to compute the maximum flow in a flow network
implementation of the Ford–Fulkerson method for computing the maximum flow in a flow network in O ( | V | | E | 2 ) {\displaystyle O(|V||E|^{2})} time. The algorithm
Edmonds–Karp_algorithm
Algorithm in graph theory
The algorithm is usually formulated in terms of a minimum-cost flow problem. The network simplex method works very well in practice, typically 200 to 300
Network_simplex_algorithm
American computer scientist
graphs and networks, including the push–relabel maximum flow algorithm developed with Robert Tarjan, work on shortest paths and minimum-cost flow, and experimental
Andrew_V._Goldberg
Basic concept of graph theory
related to the theory of network flow problems. The connectivity of a graph is an important measure of its resilience as a network. In an undirected graph
Connectivity_(graph_theory)
Algorithm in mathematical optimization
preflow–push algorithm) is an algorithm for computing maximum flows in a flow network. The name "push–relabel" comes from the two basic operations used
Push–relabel maximum flow algorithm
Push–relabel_maximum_flow_algorithm
American computer scientist and educator
algorithms, with work in combinatorial optimization, graph partitioning, network flow, metric embeddings, and computational biology. Rao received the Fulkerson
Satish_B._Rao
electrical network is a model that is derived from a flow graph. Each resistive element in the electrical network corresponds to an edge pair in the flow graph
Cederbaum's maximum flow theorem
Cederbaum's_maximum_flow_theorem
Spatial analysis tools for geographic networks
infrastructure that permits and constrains movement or flow. Examples include but are not limited to road networks, railways, air routes, pipelines, aqueducts,
Transport_network_analysis
Reduced quality of service due to high network traffic
others, and the explicit allocation of network resources to specific flows through the use of admission control. Network resources are limited, including router
Network_congestion
Generalization of network flow problems
variants are a generalisation of network flow problems, with the added constraint of a lower bound on edge flows, and with flow conservation also being required
Circulation_problem
Fluid dynamics concept
network flow is smooth and leak-free, then systems that obey Murray's law minimize the resistance to flow through the network. For turbulent networks
Murray's_law
Utilization System is the first implementation of network flow monitoring, and is an ongoing open source network flow monitor project. Started by Carter Bullard
Argus – Audit Record Generation and Utilization System
Argus_–_Audit_Record_Generation_and_Utilization_System
Mathematical propositions in network flow theory
classic max-flow min-cut theorem states that for networks with a single type of flow (single-commodity flows), the maximum possible flow from source to
Approximate max-flow min-cut theorem
Approximate_max-flow_min-cut_theorem
Full immersion in an activity
Flow in positive psychology, also known colloquially as being "in the zone" or focused, is the mental state in which a person performing some activity
Flow_(psychology)
network flow problems. In fact the preflow-push algorithm for max-flow can be derived by applying the original 1979 auction algorithm to the max flow
Auction_algorithm
Flow control digits
In computer networking, a flit (flow control unit or flow control digit) is a link-level atomic piece that forms a network packet or stream. The first
Flit_(computer_networking)
Partition of a graph by removing fewest possible edges
max-flow min-cut theorem, the weight of this cut equals the maximum amount of flow that can be sent from the source to the sink in the given network. In
Minimum_cut
Computer network protocol for software-defined networking
OpenFlow is a communications protocol that gives access to the forwarding plane of a network switch or router over the network. OpenFlow enables network controllers
OpenFlow
Disproved conjecture in network flow theory
statement about single-source unsplittable flows. It concerns the problem of converting a fractional flow, which may split each terminal's demand across
Dinitz–Garg–Goemans conjecture
Dinitz–Garg–Goemans_conjecture
Method for determining flow in pipe network systems
method for determining the flow in pipe network systems where the inputs and outputs are known, but the flow inside the network is unknown. The method was
Hardy_Cross_method
Diagram that represents a workflow or process
network Business process mapping Data and information visualization Interactive EasyFlow Process architecture Pseudocode Recursive transition network
Flowchart
Network packet distribution with multiple cores
the same flow will always be steered to the same core. This is usually done in the kernel, right after the NIC driver. Having handled the network interrupt
Multi-core network packet steering
Multi-core_network_packet_steering
American computer scientist
contributed to the theory and applications of network optimization and specializes in network flows and network flow modeling. Specifically, Ahuja is a specialist
Ravindra_K._Ahuja
Set of edges without common vertices
Finding a largest matching in a bipartite graph can be treated as a network flow problem. Finding a largest matching in a general graph is much more difficult;
Matching_(graph_theory)
American mathematician (1927–2017)
specializing in network flow problems. He was the son of mathematician Lester R. Ford Sr. Ford's paper with D. R. Fulkerson on the maximum flow problem and
L._R._Ford_Jr.
Computational problem of graph theory
certain network flow problems, particularly when dealing with single-source, single-sink networks. In these scenarios, we can transform the network flow problem
Shortest_path_problem
Study of graphs as a representation of relations between discrete objects
and network science, network theory is a part of graph theory. It defines networks as graphs where the vertices or edges possess attributes. Network theory
Network_theory
Type of graph
use of biconnected graphs is very important in the field of networking (see Network flow), because of this property of redundancy. A biconnected undirected
Biconnected_graph
Algorithm for solving the minimum-cost flow problem
minimum-cost flow problem in a flow network. It was published in 1961 by D. R. Fulkerson and is described here. The analog of steady state flow in a network of
Out-of-kilter_algorithm
Technique to suspend transmission to avoid congestion
Ethernet flow control is a mechanism for temporarily stopping the transmission of data on the Ethernet-family of computer networks. The goal of this mechanism
Ethernet_flow_control
Optimization algorithm
more sophisticated step size selection. Yang–Mills flow Yang–Mills–Higgs flow Seiberg–Witten flow Backtracking line search Conjugate gradient method Stochastic
Gradient_descent
Degree of connectedness within a graph
in relation to a type of flow or transfer across the network. This allows centralities to be classified by the type of flow they consider important. "Importance"
Centrality
Second-generation mobile telecommunications standard
16 February 2026. https://www.claropr.com/personas/ "Flow to Upgrade Mobile Network 2G Network To Be Retired". SKNVibes. 4 April 2024. Archived from
2G
Approach to network management
OpenFlow protocol for remote communication with network plane elements to determine the path of network packets across network switches since OpenFlow's emergence
Software-defined_networking
American operations researcher (born 1953)
Orlin is a co-author, with Ravindra K. Ahuja and Thomas L. Magnanti, of Network Flows: Theory, Algorithms, and Applications (1993), which received the Frederick
James_B._Orlin
Weighted tree representing s-t cuts of a graph
Cut (graph theory) Max-flow min-cut theorem Maximum flow problem Gomory, R. E.; Hu, T. C. (1961). "Multi-terminal network flows". Journal of the Society
Gomory–Hu_tree
study the flow efficiency of a network by using gradient networks, when the flow is driven by gradients of a scalar field distributed on the network. Recent
Gradient_network
Thematic map visualizing linear flow
thematic map of a linear network, while others restrict its use to maps that specifically show movement of some kind. Many flow maps use line width proportional
Flow_map
Topics referred to by the same term
neighbors in common Flow network, a directed graph where each edge has a capacity and each edge receives a flow Biological network, any network that applies
Network
2006 indie game
Flow (stylized as flOw) is an indie video game created by Jenova Chen and Nicholas Clark. Originally released as a free Flash game in 2006 to accompany
Flow_(video_game)
Process of intercepting and examining messages
from the traffic of a specific flow on one side of the network and looks for those features on the other side of the network. In active traffic-analysis
Traffic_analysis
Analysis in fluid dynamics
In fluid dynamics, pipe network analysis is the analysis of the fluid flow through a hydraulics network, containing several or many interconnected branches
Pipe_network_analysis
Topics referred to by the same term
substances to and from cells Circulation problem, a generalization of network flow problems Exhaust gas recirculation, a nitrogen oxide reduction technique
Circulation
Network that allows computers to share resources and communicate with each other
Utah. Designed principally by Bob Kahn, the network's routing, flow control, software design and network control were developed by the IMP team working
Computer_network
Combinatorial optimization problem
integral maximum flow of minimum cost can be found in polynomial time; see network flow problem. Every integral maximum flow in this network corresponds to
Assignment_problem
Model of communication
two-step modes of communication flow, leading the search for more complex Multistep Flow Models based on distinct network structures. A study done on the
Two-step flow of communication
Two-step_flow_of_communication
United Kingdom-based think tank
firm branch offices across cities as a surrogate (proxy) for actual network flows. Critics argue that static office distributions do not necessarily reflect
Globalization and World Cities Research Network
Globalization_and_World_Cities_Research_Network
Graph divided into two independent sets
problems are more difficult to solve because they do not reduce to standard network flow problems." Hopcroft, John E.; Karp, Richard M. (1973), "An n5/2 algorithm
Bipartite_graph
Hungarian mathematician
problems on graphs or networks. She has done some work on network flow algorithms like approximation algorithms for network flows, cut, and clustering
Éva_Tardos
Algorithm for finding the shortest paths in graphs
target to be sought – for example in cycle-cancelling techniques in network flow analysis. A distributed variant of the Bellman–Ford algorithm is used
Bellman–Ford_algorithm
Distance a flow travels after entering a pipe before fully developed
fluid dynamics, the entrance length is the distance a flow travels after entering a pipe before the flow becomes fully developed. Entrance length refers to
Entrance length (fluid dynamics)
Entrance_length_(fluid_dynamics)
Extremely large continuous flow of data over a network
networking, an elephant flow is an extremely large (in total bytes) continuous flow set up by a TCP (or other protocol) flow measured over a network link
Elephant_flow
Technique for anonymous communication over a computer network
Towsley, Don; Houmansadr, Amir (2017-11-27). "Towards Provably Invisible Network Flow Fingerprints". 2017 51st Asilomar Conference on Signals, Systems, and
Onion_routing
Data transmission rate management
In data communications, flow control is the process of managing the rate of data transmission between two nodes to prevent a fast sender from overwhelming
Flow_control_(data)
Network theory is an area of applied mathematics. This page is a list of network theory topics. Max flow min cut theorem Menger's theorem Metcalfe's law
List_of_network_theory_topics
American civil engineer and academic (born 1959)
2016. Barnhart, Cynthia (1988). A network-based primal-dual solution methodology for the multi-commodity network flow problem (Ph.D.). Massachusetts Institute
Cynthia_Barnhart
maximum flow to at most K/2, until the maximum flow becomes 0. So there are log2K iterations, each of which runs in time O(w m). The network flow algorithms
Optimal_stable_matching
Subfield of mathematical optimization
to people optimally Designing water distribution networks Earth science problems (e.g. reservoir flow-rates) There is a large amount of literature on polynomial-time
Combinatorial_optimization
Study of interactions between travellers and infrastructure
optimal transport network with efficient movement of traffic and minimal traffic congestion problems. The foundation for modern traffic flow analysis dates
Traffic_flow
data flow between any two nodes is maximized, but only at the cost of more or equally expensive data flows. To put it another way, in case of network congestion
Bottleneck_(network)
Soviet and Israeli computer scientist
Itai at the Technion got curious about Dinitz's maximal flow algorithm, as well as a network flow algorithm that Karzanov had published around the same
Yefim_Dinitz
Academic field
Network science is an academic field which studies complex networks such as telecommunication networks, computer networks, biological networks, cognitive
Network_science
Study of mathematical algorithms for optimization problems
A. (2003-01-01). "Modeling, Simulation, and Optimization of Traffic Flow Networks". SIAM Journal on Scientific Computing. 25 (3): 1066–1087. Bibcode:2003SJSC
Mathematical_optimization
Graph with at most one cycle per component
programming, in which pseudoforests arise in the solution of certain network flow problems. Pseudoforests also form graph-theoretic models of functions
Pseudoforest
A flow graph is a form of digraph associated with a set of linear algebraic or differential equations: "A signal flow graph is a network of nodes (or points)
Flow_graph_(mathematics)
Open source cloud computing software
shipped with the CNI. It can be used to observe individual network packet flows, view network policy decisions to allow or block traffic, and build up service
Cilium_(computing)
Internet Protocol Flow Information Export
Protocol flow information from routers, probes and other devices that are used by mediation systems, accounting/billing systems and network management
IP_Flow_Information_Export
Type of diagram
diagram (MFD) is type of traffic flow fundamental diagram that relates space-mean flow, density and speed of an entire network with n number of links as shown
Fundamental diagram of traffic flow
Fundamental_diagram_of_traffic_flow
Computational problem in graph theory
(2001), "A new-old algorithm for minimum-cut and maximum-flow in closure graphs", Networks, 37 (4): 171–193, doi:10.1002/net.1012, MR 1837196. Lerchs
Closure_problem
Rate at which data is processed in communication networks
large message (sequence of data packets) through the network, using a greedy source and no flow control mechanism (i.e., UDP rather than TCP), and measuring
Network_throughput
Algorithm employed by process and network schedulers in computing
Round-robin (RR) is one of the algorithms employed by process and network schedulers in computing. As the term is generally used, time slices (also known
Round-robin_scheduling
System for exchanging messages between computing systems
the original message. Flow control Flow control is needed when the sender transmits faster than the receiver or intermediate network equipment can process
Communication_protocol
Computational model used in machine learning
neural network (NN) or artificial neural network (ANN) is a computational model inspired by the structure and functions of biological neural networks. A neural
Neural network (machine learning)
Neural_network_(machine_learning)
American computer scientist
of his early major results was in network flow, where he presented a simple technique to convert any network flow algorithm to one that builds the famous
Dan_Gusfield
American engineer and university president (born 1945)
of Operations Research, 146: 19–39, 2006 Variable Disaggregation in Network Flow Problems with Piecewise Linear Costs (with K. Croxton and B. Gendron)
Thomas_L._Magnanti
Machine learning software library
TensorFlow computations are expressed as stateful dataflow graphs. The name TensorFlow derives from the operations that such neural networks perform
TensorFlow
Research field that lies at the intersection of machine learning and computer security
such as obfuscating malware code within network packets or modifying the characteristics of a network flow to mislead intrusion detection; attacks in
Adversarial_machine_learning
Mathematical optimization problem restricted to integers
binary variables indicate whether a frequency is assigned to an antenna. Cash flow matching Energy system optimization UAV guidance Transit map layouting The
Integer_programming
Comparison between vectors
as a rule for solving network flow problems. Given a flow network, a source s, a sink t, and a specified subset E of edges, a flow is called leximin-optimal
Leximin_order
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