We prove that the domination number of this graph is n 2 − ⌊ ( n + 1 ) 2 8 ⌋ , we characterize the dominating sets of minimum size, and we observe that the ...

Nov 9, 2023 · Abstract:Fix a positive integer n and consider the bipartite graph whose vertices are the 3-element subsets and the 2-element subsets of ...

Jan 18, 2024 · Abstract. Fix a positive integer $n$ and consider the bipartite graph whose vertices are the $3$-element subsets and the $2$-element subsets ...

Independent domination in the graph defined by two consecutive levels of the n n n italic_n -cube ... We prove that the domination number of this graph is ( n 2 ) ...

Independent domination in the graph defined by two consecutive levels of the $n$-cube · Thomas Kalinowski, Uwe Leck · Published 9 November 2023 · Mathematics.

Aug 15, 2019 · A subset D I of V is called an independent dominating set in a graph G = ( V , E ) if it is dominating, and additionally, no two elements of D I ...

A dominating set in a graph is a set W of vertices with the property that every vertex outside W has a neighbor in W , and the domination number of a graph is ...

A subset DI of V is called an independent dominating set in a graph. G = (V,E) if it is dominating, and additionally, no two elements of DI are adjacent. The ...

Aug 15, 2019 · AbstractConsider all k-element subsets and ℓ-element subsets ( k > ℓ ) of an n-element set as vertices of a bipartite graph. Two vertices ...

Independent domination in the graph defined by two consecutive levels of the n-cube. (2024) DISCRETE APPLIED MATHEMATICS 0166-218X 1872-6771 357 161-172.