{rfName}
An

Indexed in

License and use

Icono OpenAccess

Citations

1

Altmetrics

Grant support

This research was funded by Universidad Pontificia Comillas and Universidad Politecnica de Madrid.

Analysis of institutional authors

Lopez Gonzalez, M. DoloresAuthorMerchan, SAuthorMagistrali, DAuthorLopez, MAuthor

Share

April 5, 2021
Publications
>
Article
Sí

An Improvement of the Lower Bound on the Minimum Number of <= k-Edges

Publicated to:Mathematics. 9 (5): 1-9 - 2021-03-01 9(5), DOI: 10.3390/math9050525

Authors: Rodrigo, Javier; Merchan, Susana; Magistrali, Danilo; Lopez, Marilo;

Affiliations

Univ Politecn Madrid, Escuela Caminos Canales & Puertos, Dept Matemat & Informat Aplicadas Ingn Civil & Na, Prof Aranguren 3, Madrid 28040, Spain - Author
Univ Pontificia Comillas, Dept Matemat Aplicada, Alberto Aguilera 25, Madrid 28015, Spain - Author

Abstract

In this paper, we improve the lower bound on the minimum number of <= k-edges in sets of n points in general position in the plane when k is close to n/2. As a consequence, we improve the current best lower bound of the rectilinear crossing number of the complete graph Kn for some values of n.

Keywords

<= k-edgesCombinatorial geometryComplete graphsOptimizationRectilinear crossing number≤k-edges

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal 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, 2021, it was in position 21/333, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics. Notably, the journal is positioned above the 90th percentile.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2025-09-19:

  • Scopus: 1

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 2025-09-19:

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

  • The Total Score from Altmetric: 0.5.
  • The number of mentions on the social network X (formerly Twitter): 1 (Altmetric).

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.

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 (LOPEZ TOLIC, OCTAVIO ANTONIO).