Emms, Hancock, Severini and Wilson's spectral characterization conjecture for strongly regular graphs
Emms, Hancock, Severini and Wilson's spectral characterization conjecture for strongly regular graphs
Let and be strongly regular graphs with the same set of parameters. For a graph , let denote its transition matrix, let be its third power, let denote its positive support, and let denote the spectrum. Emms, Hancock, Severini and Wilson's conjecture.
The conjecture proposes that, within a fixed parameter set of strongly regular graphs, the spectrum of the positive support of the cube of the transition matrix distinguishes isomorphic graphs. The supplied source does not state whether the conjecture has been resolved.
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Sources & referencesView supporting material
Primary source
Norio Konno and Iwao Sato, “On the relation between quantum walks and zeta functions”, arXiv:1103.0079 (2011).
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