## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- Electronic Research Announcements
- Conference Publications
- AIMS Mathematics

AMC

It is proved that a numerical semigroup can be associated to the triangle-free $(r,k)$-configurations,
and some results on existence are deduced.
For example it is proved that for any $r,k\geq 2$ there exists infinitely many $(r,k)$-configurations.
Most proofs are given from a graph theoretical point of view, in the sense that the configurations are represented by their incidence graphs.
An application to private information retrieval is described.

keywords:
combinatorial configuration
,
numerical semigroup.
,
Block design
,
girth
,
partial linear space

## Year of publication

## Related Authors

## Related Keywords

[Back to Top]