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Matematicheskie Zametki, 2006, Volume 79, Issue 1, Pages 127–133
DOI: https://doi.org/10.4213/mzm2681 (Mi mzm2681) 		 
Balanced Graph Partitions

K. D. Protasova
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DOI: https://doi.org/10.4213/mzm2681
Abstract: We prove that the set of vertices $\mathscr V$, $|\mathscr V|=rk$, 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 $r$.
Received: 29.08.2002
Revised: 24.05.2005
English version:
Mathematical Notes, 2006, Volume 79, Issue 1, Pages 116–121
DOI: https://doi.org/10.1007/s11006-006-0011-0
Bibliographic databases:
UDC: 519.1
Language: Russian
Citation: K. D. Protasova, “Balanced Graph Partitions”, Mat. Zametki, 79:1 (2006), 127–133; Math. Notes, 79:1 (2006), 116–121
Citation in format AMSBIB
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