Neighborhood Systems of Convex Sets in Generalized Fans: A Polynomial Representation

In this work, we characterize the neighborhood systems of convex subsets of the vertex-set of generalized fans. Moreover, we establish its convex neighborhood polynomial.

Authors

Rosalio G. Artes
Jeffrey Imer C. Salim (ORCID: https://orcid.org/0000-0002-9532-6390)
Cerina Villarta
Hadalyn Adoh

Publication Details

Journal: International journal of mathematics and computer science
Published: 2025-01-01
DOI: https://doi.org/10.69793/ijmcs/02.2025/avas
Primary Topic: Computational Geometry and Mesh Generation
Type: article
Field-Weighted Citation Impact: 0.00

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article

Neighborhood Systems of Convex Sets in Generalized Fans: A Polynomial Representation

Rosalio G. Artes, Jeffrey Imer C. Salim, Cerina Villarta, Hadalyn Adoh

Jan 1, 2025

International journal of mathematics and computer science

Computational Geometry and Mesh Generation

article

Neighborhood Systems of Convex Sets in Generalized Fans: A Polynomial Representation

Rosalio G. Artes, Jeffrey Imer C. Salim, Cerina Villarta, Hadalyn Adoh

January 1, 2025article en

Abstract

In this work, we characterize the neighborhood systems of convex subsets of the vertex-set of generalized fans. Moreover, we establish its convex neighborhood polynomial.

International journal of mathematics and computer science

Openalex Percentile: Top 89%

Computational Geometry and Mesh Generation

DOI Source OpenAlex

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Neighborhood Systems of Convex Sets in Generalized Fans: A Polynomial Representation — Rosalio G. Artes, Jeffrey Imer C. Salim, et al. · International journal of mathematics and computer science (2025) | TGRS Research Map | TGRS