The -Paulus graph having the largest possible graph
automorphism group order of all 26-node Paulus graphs
(namely 120) is sometimes known as the Paulus-Rozenfeld-Thompson graph (or PRT graph
for short) and denoted (Gyürki et al. 2020). It is illustrated above
in two embeddings constructed by Gyürki et al. (2020).
Additional embeddings due to Ed Pegg, Jr. (pers. comm., Mar 3, 2021) are illustrated above.
This graph was selected as the logo of the conference "Symmetry Versus Regularity: The First 50 Years Since Weisfeiler-Leman Stabilization" held July 1-7, 2018 in Pilsen, Czech Republic.
Gyürki, Š.; Klin, M.; and Ziv-Av, M. "The Paulus-Rozenfeld-Thompson Graph on 26 Vertices Revisited and Related Combinatorial
Structures." In Isomorphisms,
Symmetry and Computations in Algebraic Graph Theory: Pilsen, Czech Republic, October
3-7, 2016 (Ed. G. A. Jones, I. Ponomarenko, and J. Širáň).
Cham, Switzerland: Springer Nature, pp. 73-154, 2020.ITI Center
of Excellence, Faculty of Applied Sciences of the University of West Bohemia in Pilsen,
Union of Czech Mathematicians and Physicists, Slovak Mathematical Society, and Mathematical
Institute of Slovak Academy of Sciences. "Conference in Algebraic Graph Theory
Symmetry vs Regularity: The First 50 Years Since Weisfeiler-Leman Stabilization."
https://www.iti.zcu.cz/wl2018/.Rozenfel'd,
M. Z. "'The Construction and Properties of Certain Classes of Strongly
Regular Graphs." Uspehi Mat. Nauk28, 197-198, 1973.Thompson,
D. M. "Design Constructibility: Strongly Regular Graphs and Block Designs."
Ph.D. dissertation. Tucson, AZ: University of Arizona, 1979.Thompson,
D. M. "Eigengraphs: Constructing Strongly Regular Graphs with Block Designs."
Utilitas Math.20, 83-115, 1981.