The term "isomorphic" means "having the same form" and is used in many branches of mathematics to identify mathematical objects which have the same structural properties. Objects which may be represented (or "embedded") differently but which have the same essential structure are often said to be "identical up to an isomorphism."

The statement "A is isomorphic to B" is denoted A=B (Harary 1994, p. 161; West 2000, p. 7).

Two objects that are not isomorphic are said to be nonisomorphic.

See also

Graph Isomorphism, Isomorphic Graphs, Isomorphic Groups, Order Isomorphic, Isomorphic Posets, Isomorphism, Nonisomorphic

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Harary, F. Graph Theory. Reading, MA: Addison-Wesley, 1994.West, D. B. Introduction to Graph Theory, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 2000.

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Cite this as:

Weisstein, Eric W. "Isomorphic." From MathWorld--A Wolfram Web Resource.

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