May 1, 1994 · We disprove this conjecture and give an exhaustive answer to the question: “What is the difference between the domination and independent ...
Abstract. In [1] C. Barefoot, F. Harary and K. Jones conjectured that for cubic graphs with connectivity three the difference between the domination and ...
We disprove this conjecture and give an exhaustive answer to the question: “What is the difference between the domination and independent domination numbers for ...
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A set S of vertices of a graph G = (V,E) is a dominating set if every vertex of V ( G ) ∖ S is adjacent to some vertex in S. The domination number γ(G) is ...
May 3, 2012 · This conjecture was disproved by giving an explicit counterexample, by Yaroslav Shitov in 2019 in this paper published in Annals of Mathematics.
Missing: Domination | Show results with:Domination
In this note, we disprove two conjectures recently stated on proper -dominating sets in graphs. We recall that a proper -dominating set of a graph G = ( V , E ...
The domination number γ(G) is the minimum cardinality of a dominating set of G. The domination subdivision number sdγ(G) is the minimum number of edges that ...
Nov 15, 2023 · In this paper, we disprove the conjecture and completely determine the unique minimizer graph among for odd n.
May 30, 2017 · In 1946, Bill Tutte found a counterexample to Tait's conjecture that every 3-connected planar cubic graph is Hamiltonian.
Missing: Domination | Show results with:Domination
A set S of vertices of a graph G = (V, E) without isolated vertex is a total dominating set if every vertex of V(G) is adjacent to some vertex in S. The total ...