Geodesic
Edge-domatic numbers of cacti
Mathematica Bohemica, Tome 116 (1991) no. 1, pp. 91-95

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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.
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.
DOI : 10.21136/MB.1991.126190
Classification : 05C15, 05C35, 05C70, 05C99
Keywords: edge-domatic number; cactus; dominating; edge-domatic partition; round; round cactus 
Zelinka, Bohdan. Edge-domatic numbers of cacti. Mathematica Bohemica, Tome 116 (1991) no. 1, pp. 91-95. doi: 10.21136/MB.1991.126190
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[1] E. J. Cockayne S. T. Hedetniemi: Towards a theory of domination in graphs. Networks 7 (1977), 247-261. | DOI | MR

[2] B. Zelinka: Edge-domatic number of a graph. Czechoslovak Math. J. 33 (198З), 107-110. | MR

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