Domination parameters for the bishops graph (Q1081616)

From MaRDI portal





scientific article; zbMATH DE number 3970789
Language Label Description Also known as
English
Domination parameters for the bishops graph
scientific article; zbMATH DE number 3970789

    Statements

    Domination parameters for the bishops graph (English)
    0 references
    0 references
    1986
    0 references
    The vertices of a ''bishops'' graph are the squares of the \(n\times n\) chessboard and two vertices are adjacent if their squares lie on a common diagonal. For this type of graphs, there are calculated three domination parameters: the smallest cardinality of a dominating set, of an independent dominating set and of a total dominating set of a bishops graph.
    0 references
    independent domination number
    0 references
    total domination number
    0 references
    bishops graph
    0 references

    Identifiers