Document Type

Publication - Article

Indexed Concatenation Notation: A Novel Way to Summarize Networks and Other Complex Systems

Authors

Kenneth E. Caviness, Southern Adventist UniversityFollow
Colton H. Davis, School of Engineering and Physics, Southern Adventist University, Collegedale, TN 37315
Derek Renck, School of Engineering and Physics, Southern Adventist UniversityFollow
Charles A. Sarr, Laurelbrook School, Dayton, TNFollow
Scot Anderson, Southern Adventist University
Heaven Robles, School of Biology and Allied Health, Southern Adventist UniversityFollow
Rhys Sharpe, School of Computer Science, Southern Adventist UniversityFollow

Department

Physics & Engineering

Date of Activity

Summer 6-11-2025

Abstract

The indexed concatenation notation presented in this paper extends the concept of concatenation in a way similar to the extension of addition to the indexed sum, allowing compact representations of strings, lists, matrices, etc., having internal repetitive or describable structure. In particular, it allows the edge difference set list of any graphical network with a visible pattern to be summarized in an extremely compact and lossless way. Examples highlight the information compression of the technique and showcase its ability to represent complicated, infinite patterns in closed form.

Comments

This interdisciplinary paper was presented in person by student co-author Rhys Sharpe at the SIMULTECH 2025 conference in Bilbao, Spain.

Recommended Citation

Caviness, K., Davis, C., Renck, D., Sarr, C., Anderson, S., Robles, H. and Sharpe, R. (2025). Indexed Concatenation Notation: A Novel Way to Summarize Networks and Other Complex Systems. In Proceedings of the 15th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - SIMULTECH; ISBN 978-989-758-759-7; ISSN 2184-2841, SciTePress, pages 39-50. DOI: 10.5220/0013514700003970