Math 2.0

Concept

Xuong tree

Summary

In graph theory, a Xuong tree is a spanning tree TT of a given graph GG with the property that, in the remaining graph G−TG-T, the number of connected components with an odd number of edges is as small as possible. They are named after Nguyen Huy Xuong, who used them to characterize the cellular embeddings of a given graph having the largest possible genus.

Further reading

  1. Wikipedia, page 56061994, revision 1329719589, Xuong tree. adopted
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Changed4 November 2026

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