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In mathematics, 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 ). A distinction is made between undirected graphs, where edges link ...
Total graph. Tree (graph theory). Trellis (graph) TurĂ¡n graph. Ultrahomogeneous graph. Vertex-transitive graph. Visibility graph. Museum guard problem. Wheel graph.
Graph isomorphism is an equivalence relation on graphs and as such it partitions the class of all graphs into equivalence classes. A set of graphs isomorphic to each other is called an isomorphism class of graphs. The question of whether graph isomorphism can be determined in polynomial time is a major unsolved problem in computer science ...
This graph becomes disconnected when the right-most node in the gray area on the left is removed This graph becomes disconnected when the dashed edge is removed.. In mathematics and computer science, connectivity is one of the basic concepts of graph theory: it asks for the minimum number of elements (nodes or edges) that need to be removed to separate the remaining nodes into two or more ...
In theoretical computer science, the subgraph isomorphism problem is a computational task in which two graphs G and H are given as input, and one must determine whether G contains a subgraph that is isomorphic to H . Subgraph isomorphism is a generalization of both the maximum clique problem and the problem of testing whether a graph contains a ...
Charles Colbourn (1980) Lorna Stewart (1985) Derek Gordon Corneil is a Canadian mathematician and computer scientist, a professor emeritus of computer science at the University of Toronto, and an expert in graph algorithms and graph theory .
A directed graph with three vertices (blue circles) and three edges (black arrows). In computer science, a graph is an abstract data type that is meant to implement the undirected graph and directed graph concepts from the field of graph theory within mathematics . A graph data structure consists of a finite (and possibly mutable) set of ...
In computer science, a control-flow graph ( CFG) is a representation, using graph notation, of all paths that might be traversed through a program during its execution. The control-flow graph was discovered by Frances E. Allen, [1] who noted that Reese T. Prosser used boolean connectivity matrices for flow analysis before.