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October 28, 2024
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Relating the super domination and 2-domination numbers in cactus graphs

Publicated to: Open Mathematics. 21 (1): 20220583- - 2023-05-02 21(1), DOI: 10.1515/math-2022-0583

Authors:

Cabrera-Martínez, A; Peiró, AC
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Affiliations

Univ Cordoba, Dept Matemat, Campus Rabanales - Author
Univ Politecn Valencia, Ctr Qual & Change Management CQ - Author

Abstract

A set D subset of V(G) is a super dominating set of a graphG if for every vertex u is an element of V(G)\, there exists a vertex v is an element of D such that N(v)\D = {u}. The super domination number ofG, denoted by gamma(sp)(G), is the minimum cardinality among all super dominating sets of G. In this article, we show that if G is a cactus graph with k(G) cycles, then gamma(sp)(G)
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Keywords

2-domination numberBoundsCactus graphsSuper domination numberTrees

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Open Mathematics due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2023, it was in position 117/490, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics.

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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-03:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 1 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

    It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

    • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
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    Leadership analysis of institutional authors

    There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (Peiro, AC).

    the author responsible for correspondence tasks has been Peiro, AC.

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