Math 2.0

Concept

Domatic number

Summary

In graph theory, a domatic partition of a graph G=(V,E)G = (V,E) is a partition of VV into disjoint sets V1V_1, V2V_2,...,VKV_K such that each Vi is a dominating set for G. The figure on the right shows a domatic partition of a graph; here the dominating set V1V_1 consists of the yellow vertices, V2V_2 consists of the green vertices, and V3V_3 consists of the blue vertices.

Further reading

  1. Wikipedia, page 1771980, revision 1326501538, Domatic number. adopted
About this page
TagCKK800ERR1
URIm2://CKK800ERR1
Aliasesdomatic-number-problem, domatic-partition
Kindconcept
WritingW1 stated
Same as
Changed4 November 2026

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