𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The product of the independent domination numbers of a graph and its complement

✍ Scribed by E.J. Cockayne; O. Favaron; H. Li; G. MacGillivray


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
240 KB
Volume
90
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On domination and independent domination
✍ Robert B. Allan; Renu Laskar πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science 🌐 English βš– 399 KB

For a graph G, the definitions of doknation number, denoted y(G), and independent domination number, denoted i(G), are given, and the following results are obtained: oorollrrg 1. For any graph G, y(L(G)) = i@(G)), where Z,(G) is the line graph of G. (This $xh!s t.lic rtsult ~(L(T))~i(L(T)), h w ere

The minimum number of subgraphs in a gra
✍ Lane Clark πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 265 KB πŸ‘ 2 views

## Abstract For a graphb __F__ without isolated vertices, let __M__(__F__; __n__) denote the minimum number of monochromatic copies of __F__ in any 2‐coloring of the edges of __K__~__n__~. Burr and Rosta conjectured that when __F__ has order __t__, size __u__, and __a__ automorphisms. Independent

On the domination number of cross produc
✍ Sylvain Gravier; Abdelkader Khelladi πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 195 KB

In this communication the domination number of the cross product of an elementary path with the complement of another path is exactly determined and some inequalities for general cases are deduced. The paper ends with a Vizing-like conjecture relating the domination number of the cross product of G

The sequence of upper and lower dominati
✍ E.J. Cockayne; C.M. Mynhardt πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 803 KB

Necessary and sufficient conditions are established for the existence of a graph whose upper and lower domination, independence and irredundance numbers are six given positive integers. This result shows that the only relationships between these six parameters which hold for all graphs and which do