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Title: Edge-domatic numbers of cacti (English)
Author: Zelinka, Bohdan
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 116
Issue: 1
Year: 1991
Pages: 91-95
Summary lang: English
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Category: math
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Summary: The edge-domatic number of a graph is the maximum number of classes of a partition of its edge set into dominating sets. This number is studied for cacti, i.e. graphs in which each edge belongs to at most one circuit. (English)
Keyword: edge-domatic number
Keyword: cactus
Keyword: dominating
Keyword: edge-domatic partition
Keyword: round
Keyword: round cactus
MSC: 05C15
MSC: 05C35
MSC: 05C70
MSC: 05C99
idZBL: Zbl 0743.05032
idMR: MR1100426
DOI: 10.21136/MB.1991.126190
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Date available: 2009-09-24T20:43:16Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/126190
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Reference: [1] E. J. Cockayne S. T. Hedetniemi: Towards a theory of domination in graphs.Networks 7 (1977), 247-261. MR 0483788, 10.1002/net.3230070305
Reference: [2] B. Zelinka: Edge-domatic number of a graph.Czechoslovak Math. J. 33 (198З), 107-110. MR 0687422
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