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GRAPH (Group of a)

From glossaLAB
Charles François (2004). GRAPH (Group of a). International Encyclopedia of Systems and Cybernetics, 2(1): 1463.
Collection International Encyclopedia of Systems and Cybernetics
Year 2004
Vol. (num.) 2(1)
ID 1463
Object type Methodology or model
“The collection of all its automorphisms” (Template:Ency person, 1967, p.25).

Different graphs can be topologically Template:Ency term, and thus reunited through a Template:Ency term.

Template:Ency person writes: “It is a permutation Template:Ency term acting on the Template:Ency term of points (Template:Ency term). It is known (Template:Ency person, 1949) that every finite Template:Ency term is abstractly Template:Ency term to the Template:Ency term of some graph” (Ibid).

This author also defines the Template:Ency term: “The permutation Template:Ency term whose Template:Ency term are the lines of G and whose permutations are induced by those of the Template:Ency term of Template:Ency term” (Ibid).

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