Mathematical Notes

, Volume 79, Issue 1–2, pp 116–121 | Cite as

Balanced Graph Partitions

  • K. D. Protasova


We prove that the set of vertices V, |V| = rk, of a connected graph G can be split into r subsets of the same cardinality in such a way that the distance between any vertex of G and any subset of the partition is at most r.

Key words

balanced graph coloring diameter of a graph star graph balanced partition spanning tree r-critical tree Cayley graph 


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    J. Karaganis, “On the cube of graphs,” Canad. Math. Bull., 11 (1969), 295–296.MathSciNetGoogle Scholar
  2. 2.
    K. D. Protasova, “Kaleidoscopic graphs,” Math. Stud., 18 (2002), 3–9.MATHMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • K. D. Protasova
    • 1
  1. 1.KievUkraine

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