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A graph with 16 vertices and six bridges (highlighted in red) An undirected connected graph with no bridge edges. In graph theory, a bridge, isthmus, cut-edge, or cut arc is an edge of a graph whose deletion increases the graph's number of connected components. [1] Equivalently, an edge is a bridge if and only if it is not contained in any cycle.
Force-directed graph drawing algorithms assign forces among the set of edges and the set of nodes of a graph drawing.Typically, spring-like attractive forces based on Hooke's law are used to attract pairs of endpoints of the graph's edges towards each other, while simultaneously repulsive forces like those of electrically charged particles based on Coulomb's law are used to separate all pairs ...
In addition, when the scope of a diagram crosses the common LAN/MAN/WAN boundaries, representative hypothetical devices may be depicted instead of showing all actually existing nodes. For example, if a network appliance is intended to be connected through the Internet to many end-user mobile devices, only a single such device may be depicted ...
The link-state protocol is performed by every switching node in the network (i.e., nodes which are prepared to forward packets; in the Internet, these are called routers). [3] The basic concept of link-state routing is that every node constructs a map of the connectivity to the network in the form of a graph , showing which nodes are connected ...
The Chung-Lu Configuration Model [5] is a canonical configuration model variant for simple graphs (i.e., without multi-edges). It assumes that edges between nodes are independent from each other, differently from the micro-canonical model.
It is an application of graph theory [3] wherein communicating devices are modeled as nodes and the connections between the devices are modeled as links or lines between the nodes. Physical topology is the placement of the various components of a network (e.g., device location and cable installation), while logical topology illustrates how data ...
Focusing on crossing nodes (ends of edges that cross the boundary of , or ), the access nodes for are those nodes of that are part of a shortest path from some node in to a node in . As access nodes for an arbitrary node v ∈ C {\displaystyle v\in C} all access nodes of C {\displaystyle C} are chosen (red dots in the image to the right).
A drawing of a graph with 6 vertices and 7 edges. In mathematics and 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 is made up of vertices (also called nodes or points) which are connected by edges (also called arcs, links or lines).