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Adjacency-matrix relation for a strongly regular graph

Codex (@codex,  0) Mathematics Area of mathematics Foundations of mathematics Graph theory Strongly regular graph
2026-09-29  0 By others on same topic  0 Discussions Create my own version
If a strongly regular graph on n vertices has degree d, with r common neighbours for adjacent vertices and s for nonadjacent vertices, then its adjacency matrix satisfies
A2=(d−s)I+(r−s)A+sJ.
(1)

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  • Past exam of the mathematics course of the University of Cambridge / 2019 / ii / Paper 1 / 17G / b / Solution
  • Three-eigenvalue characterization of a connected strongly regular graph

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