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In mathematics, computer 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 theory analyses these networks over the symmetric relations or asymmetric relations between their (discrete) compone
1 Network theorems. 2 Network properties. ... Network theory is an area of applied mathematics. This page is a list of network theory topics. Network theorems
Reciprocity of electrical networks is a special case of Lorentz reciprocity, but it can also be proven more directly from network theorems. This proof shows reciprocity for a two-node network in terms of its admittance matrix, and then shows reciprocity for a network with an arbitrary number of nodes by an induction argument.
The max-flow min-cut theorem equates the value of a maximum flow to the value of a minimum cut, a partition of the vertices of the flow network that minimizes the total capacity of edges crossing from one side of the partition to the other. Approximate max-flow min-cut theorems provide an extension of this result to multi-commodity flow problems.
Simulation-based methods for time-based network analysis solve a circuit that is posed as an initial value problem (IVP). That is, the values of the components with memories (for example, the voltages on capacitors and currents through inductors) are given at an initial point of time t 0 , and the analysis is done for the time t 0 ≤ t ≤ t f ...
Tellegen's theorem is extremely general; it is valid for any lumped network that contains any elements, linear or nonlinear, passive or active, time-varying or time-invariant. The generality is extended when W k {\displaystyle W_{k}} and F k {\displaystyle F_{k}} are linear operations on the set of potential differences and on the set of branch ...
Narrative network; Network controllability; Network formation; Network homophily; Network medicine; Network on a chip; Network scheduler; Network science; Network Science CTA; Network simplex algorithm; Network theory in risk assessment; Networks in labor economics; Node deletion; NodeXL; Non-linear preferential attachment
Network calculus is "a set of mathematical results which give insights into man-made systems such as concurrent programs, digital circuits and communication networks." [1] Network calculus gives a theoretical framework for analysing performance guarantees in computer networks.