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On the existence of directed strongly regular graphs with parameters (22, 9, 6, 3, 4) | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2024. № 66. DOI: 10.17223/20710410/66/8

The paper shows the existence of the family of directed strongly regular graphs with parameters (22, 9, 6, 3, 4). The adjacency matrices of the found digraphs consist of 3 х 3 circulant blocks. The automorphism group of all the digraphs found is the group Z3. The structure of the resulting digraphs has been described using the concepts of skeleton and rigging.
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  • Title On the existence of directed strongly regular graphs with parameters (22, 9, 6, 3, 4)
  • Headline On the existence of directed strongly regular graphs with parameters (22, 9, 6, 3, 4)
  • Publesher Tomask State UniversityTomsk State University
  • Issue Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics 66
  • Date:
  • DOI 10.17223/20710410/66/8
Keywords
directed strongly regular graph, circulant matrix, compactification of matrices, automorphism group, isomorphic digraphs
Authors
References
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On the existence of directed strongly regular graphs with parameters (22, 9, 6, 3, 4) | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2024. № 66. DOI: 10.17223/20710410/66/8
On the existence of directed strongly regular graphs with parameters (22, 9, 6, 3, 4) | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2024. № 66. DOI: 10.17223/20710410/66/8
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