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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  • Tensile strength — sigma {UTS}, or S U is the stress at which a material breaks or permanently deforms. Tensile strength is an intensive property and, consequently, does not depend on the size of the test specimen. However, it is dependent on the preparation of the …   Wikipedia

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