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Displaying similar documents to “Hereditary properties of tournaments.”

Signed 2-domination in caterpillars

Bohdan Zelinka (2004)

Mathematica Bohemica

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A caterpillar is a tree with the property that after deleting all its vertices of degree 1 a simple path is obtained. The signed 2-domination number γ s 2 ( G ) and the signed total 2-domination number γ st 2 ( G ) of a graph G are variants of the signed domination number γ s ( G ) and the signed total domination number γ st ( G ) . Their values for caterpillars are studied.

The Ramsey number.

Boza, Luis (2011)

The Electronic Journal of Combinatorics [electronic only]

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New bounds for the broadcast domination number of a graph

Richard Brewster, Christina Mynhardt, Laura Teshima (2013)

Open Mathematics

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A dominating broadcast on a graph G = (V, E) is a function f: V → {0, 1, ..., diam G} such that f(v) ≤ e(v) (the eccentricity of v) for all v ∈ V and such that each vertex is within distance f(v) from a vertex v with f(v) > 0. The cost of a broadcast f is σ(f) = Σv∈V f(v), and the broadcast number λ b (G) is the minimum cost of a dominating broadcast. A set X ⊆ V(G) is said to be irredundant if each x ∈ X dominates a vertex y that is not dominated by any other vertex in X; possibly...