A directed graph version of strongly regular graphs (Q1101124)
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scientific article; zbMATH DE number 4045774
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A directed graph version of strongly regular graphs |
scientific article; zbMATH DE number 4045774 |
Statements
A directed graph version of strongly regular graphs (English)
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1988
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The paper gives existence and nonexistence conditions of a directed graph version of strongly regular graphs whose adjacency matrices satisfy the equations \[ A^ 2+(u-v)A-(t-u)I=uJ\quad \] \[ AJ=JA=kJ \] where A is the adjacency matrix, I the identity matrix, J the matrix of all l's and u, v, t, k are the parameters. It proves the existence by construction and also constructs homomorphisms for several families of parameter sets.
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directed graph
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strongly regular graphs
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adjacency matrices
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