The Story of Isospectral Graphs

Experimental Mathematics is an approach to mathematics in which numerical computation is used to investigate mathematical objects and identify properties and patterns. [Pg.72]

We will introduce a few problems and a few solutions relating to experimental mathematics in the section following the story of isospectral graphs. [Pg.72]

FIGURE 3.1 The smallest pair of acyclic (eight vertices) and cyclic (six vertices) isospectral graphs. [Pg.73]

FIGURE 3.2 Isospectral pair4-ethyl-2,4,6-trimethylheptane and4-isopropyl-2,6-dimethy heptane, reported by Harary et al. [42], and their characteristic polynomials. [Pg.73]

FIGURE 3.3 Isospectral acyclic graphs having n = 9 and = 10 vertices. [Pg.74]

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