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Hypergraphs with large transversal number and with edge sizes at least four

open access: yesOpen Mathematics, 2012
Henning Michael, Löwenstein Christian
doaj   +1 more source

A lower bound for the packing chromatic number of the Cartesian product of cycles

open access: yesOpen Mathematics, 2013
Jacobs Yolandé   +2 more
doaj   +1 more source
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Domination defect for the join and corona of graphs

Applied Mathematical Sciences, 2021
The domination number of a graph G denoted by γ(G) is the minimum number of vertices required to dominate all the vertices of G. The minimality of γ(G) implies that if W ⊆ V (G) such that |W | < γ(G), then there is at least one vertex of G that is not ...
Aldwin T. Rolito G. Eballe, R. Eballe
semanticscholar   +1 more source

Weakly connected 2-domination in graphs

Applied Mathematical Sciences, 2021
Let G = (V (G), E(G)) be a connected graph. A set D ⊆ V (G) is a weakly connected 2-dominating set if every vertex of V (G)\D is adjacent to at least two vertices in D and the subgraph 〈D〉w weakly induced by D is connected.
Mae P. Militante
semanticscholar   +1 more source

Weakly connected 2-domination in some special graphs

, 2021
Let G = (V (G), E(G)) be a connected graph. A set D ⊆ V (G) is a weakly connected 2-dominating set of G if every vertex of V (G)\D is adjacent to at least two vertices in D and the subgraph 〈D〉w weakly induced by D is connected.
Mae P. Militante, R. Eballe
semanticscholar   +1 more source

Exploring the vertex and edge corona of graphs for their weakly connected 2-domination

International Journal of Contemporary Mathematical Sciences, 2021
A weakly connected 2-dominating set of a connected graph G is a set D ⊆ V (G) such that every vertex in V (G)\D is adjacent to at least two vertices in D and the subgraph 〈D〉w, which is the one weakly induced by D, is connected. In this paper, the weakly
Mae P. Militante, R. Eballe
semanticscholar   +1 more source

The second largest number of maximum independent sets in trees of odd order without duplicated leaves

Applied Mathematical Sciences, 2021
In a graph G = (V,E), an independent set is a subset I of V (G) such that no two vertices in I are adjacent. A maximum independent set is an independent set of maximum size.
Jenq-Jong Lin, Min-Jen Jou, Qian-Yu Lin
semanticscholar   +1 more source

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