| 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 | 
| . | 
| Category:
             | 
math | 
| . | 
| 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 | 
| . | 
| Date available:
             | 
2009-09-24T20:43:16Z | 
| Last updated:
             | 
2020-07-29 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/126190 | 
| . | 
| 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 | 
| . |