ABSTRACT

This paper is a survey of the author’s and others’ results concerning the domatic number of a graph and its variants. These results were published in the listed references; most of the author’s results are contained as well in his doctoral dissertation [13] in Czech and also in his survey lecture [35] at the Symposium on Graph Theory in Prachatice in 1990. Therefore many of the theorems are presented without proofs; only selected proofs are included.