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Graphic Matroid


Suppose that G is a pseudograph, E is the edge set of G, and C is the family of edge sets of graph cycles of G. Then C obeys the axioms for the circuits of a matroid, and hence (E,C) is a matroid. Any matroid that can be obtained in this way is a graphic matroid.


See also

Matroid, Pseudograph

This entry contributed by Dillon Mayhew

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References

Oxley, J. G. Matroid Theory. Oxford, England: Oxford University Press, p. 11, 1991.

Referenced on Wolfram|Alpha

Graphic Matroid

Cite this as:

Mayhew, Dillon. "Graphic Matroid." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/GraphicMatroid.html

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