The Set of All Values of the Domination Number in Trees with a Given Degree Sequence
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Applied and Industrial Mathematics"
DOI: 10.1134/s1990478920010135
Abstract: We find the set of all values of the domination number for a class of trees with some given vertex degrees that forms a segment of naturals. We prove that each intermediate value of the… read more here.
Keywords: domination number; number trees; trees given; number ... See more keywords
On Trees with Greatest F−Invariant Using Edge Swapping Operations
Sign Up to like & getrecommendations! Published in 2022 at "Computational Intelligence and Neuroscience"
DOI: 10.1155/2022/8291974
Abstract: The F-index of a graph Q is defined as F(Q)=∑t∈V(Q)(dt)3. In this paper, we use edge swapping transformations to find the extremal value of the F-index among the class of trees with given order, pendent… read more here.
Keywords: trees given; index; trees greatest; edge swapping ... See more keywords