graph toughness

graph toughness
(mathematics) a measure, expressed by a positive integer (with the exception of complete graphs) of the connectivity of a graph

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  • Graph toughness — In graph theory, toughness is a measure of the connectivity of a graph. A graph G is said to be t tough if, for every k > 1, G cannot be split into k different connected components by the removal of fewer than tk vertices. For instance, a graph… …   Wikipedia

  • Toughness — Toughness, in materials science and metallurgy, is the resistance to fracture of a material when stressed. It is defined as the amount of energy per volume that a material can absorb before rupturing.Mathematical definitionToughness can be found… …   Wikipedia

  • Connected component (graph theory) — A graph with three connected components. In graph theory, a connected component of an undirected graph is a subgraph in which any two vertices are connected to each other by paths, and which is connected to no additional vertices. For example,… …   Wikipedia

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