Edge-domatic number of a graph
Bohdan Zelinka (1983)
Czechoslovak Mathematical Journal
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Bohdan Zelinka (1983)
Czechoslovak Mathematical Journal
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Bohdan Zelinka (1991)
Mathematica Bohemica
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The total edge-domatic number of a graph is introduced as an edge analogue of the total domatic number. Its values are studied for some special classes of graphs. The concept of totally edge-domatically full graph is introduced and investigated.
Bohdan Zelinka (1991)
Mathematica Bohemica
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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.