The Paulus–Rozenfeld–Thompson Graph on 26 Vertices Revisited and Related Combinatorial Structures
DOI10.1007/978-3-030-32808-5_4zbMath1442.05248OpenAlexW2999980070MaRDI QIDQ3296726
Matan Ziv-Av, Štefan Gyürki, Mikhail H. Klin
Publication date: 1 July 2020
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-32808-5_4
association schemePaley graphstrongly regular graphcomputer algebrageneralized quadrangleinversive planedistance regular graphblock designalgebraic graph theoryGAPcoherent configurationicosahedronfinite permutation groupdodecahedrontwo-graphantipodal graphWeisfeiler-Leman stabilizationCOCOsemi-icosahedron
Combinatorial aspects of block designs (05B05) Association schemes, strongly regular graphs (05E30) Statistical block designs (62K10)
Uses Software
Cites Work
- Automorphism groups of rational circulant graphs
- On the existence of self-complementary and non-self-complementary strongly regular graphs with Paley parameters
- Spectra of graphs
- \((0,\lambda)\)-graphs and \(n\)-cubes
- Classification of small \((0,2)\)-graphs
- On strongly regular bicirculants
- Inversive planes of odd order
- A directed graph version of strongly regular graphs
- Skew-symmetric association schemes with two classes and strongly regular graphs of type \(L_{2n-1}(4n-1)\)
- Two remarks on Steiner systems
- On construction and identification of graphs. With contributions by A. Lehman, G. M. Adelson-Velsky, V. Arlazarov, I. Faragev, A. Uskov, I. Zuev, M. Rosenfeld and B. Weisfeiler
- Graphical \(t\)-designs via polynomial Kramer-Mesner matrices
- Applied finite group actions.
- Coherent configurations. I
- Directed strongly regular graphs obtained from coherent algebras
- The number of nets of the regular convex polytopes in dimension \(\leq 4\)
- Hamiltonian paths on Platonic graphs
- Small vertex-transitive directed strongly regular graphs
- Classification of association schemes of small order
- Petrie duality and the Anstee-Robertson graph
- Mappings which preserve regular dodecahedrons
- Siamese objects, and their relation to color graphs, association schemes and Steiner designs
- \((v,k,\lambda)\)-graphs and polarities of \((v,k,\lambda)\)-designs
- The Steiner system \(S(3,6,26)\)
- Seidel-equivalence in LB\(_3\)(6) graphs
- Uniqueness of the inversive plane of order 5
- Strongly regular graphs, partial geometries and partially balanced designs
- Finite nets. II: Uniqueness and imbedding
- Stability of arc-transitive graphs
- Topics in Graph Automorphisms and Reconstruction
- Mathematical Chemistry and Chemoinformatics
- Symmetry and Pattern in Projective Geometry
- A combinatorial approach to transitive extensions of generously unitransitive permutation groups
- Examples of computer experimentation in algebraic combinatorics
- The Uniqueness of the $\mathrm{L}_2$ Association Scheme
- Algorithmic Techniques for the Generation and Analysis of Strongly Regular Graphs and other Combinatorial Configurations
- On Transitive Permutation Groups
- On the Symmetry Group of the Dodecahedron
- Deza graphs: A generalization of strongly regular graph
- Distance-Regular Graphs with Diameter Three
- Enumeration of Schur Rings over the Group A 5
- Nonisomorphic Solutions of pseudo‐(3.5,2) and pseudo‐(3,6,3) graphs
- The Graph Extension Theorem
- Finite Nets, I. Numerical Invariants
- Classification and Analysis of Partially Balanced Incomplete Block Designs with Two Associate Classes
- On the Structure of Multiply Transitive Permutation Groups
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