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

Kenneth Caviness, Colton Davis, Derek Renck, Charles Sarr, Scot Anderson, Heaven Robles, Rhys Sharpe

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.

Paper Citation

in Harvard Style

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 - Volume 1: SIMULTECH; ISBN 978-989-758-759-7, SciTePress, pages 39-50. DOI: 10.5220/0013514700003970

in Bibtex Style

@conference{simultech25,
author={Kenneth Caviness and Colton Davis and Derek Renck and Charles Sarr and Scot Anderson and Heaven Robles and Rhys Sharpe},
title={Indexed Concatenation Notation: A Novel Way to Summarize Networks and Other Complex Systems},
booktitle={Proceedings of the 15th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH},
year={2025},
pages={39-50},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013514700003970},
isbn={978-989-758-759-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 15th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH
TI - Indexed Concatenation Notation: A Novel Way to Summarize Networks and Other Complex Systems
SN - 978-989-758-759-7
AU - Caviness K.
AU - Davis C.
AU - Renck D.
AU - Sarr C.
AU - Anderson S.
AU - Robles H.
AU - Sharpe R.
PY - 2025
SP - 39
EP - 50
DO - 10.5220/0013514700003970
PB - SciTePress