Representations of Signed Graphs

Authors

Yuqing Chen, Wright State University - Main CampusFollow
Anthony B. Evans
Xiaoyu Liu, Wright State University - Main CampusFollow
Daniel Slilaty, Wright State University - Main CampusFollow
Xiangqian Zhou, Wright State University - Main CampusFollow

Document Type

Article

Publication Date

6-9-2023

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Abstract

We extend the concept of graph representations modulo integers introduced by Erdös and Evans to graph representations over finite rings and generalize it to representations of signed graphs. We introduce several representation numbers and product dimensions of graphs and signed graphs and compute these quantities for a few special classes of signed graphs.

Repository Citation

Chen, Y., Evans, A. B., Liu, X., Slilaty, D., & Zhou, X. (2023). Representations of Signed Graphs. Journal of Algebraic Combinatorics.
https://corescholar.libraries.wright.edu/math/471

DOI

10.1007/s10801-023-01242-6