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arxiv: 1709.05800 · v1 · pith:CBQYC65Inew · submitted 2017-09-18 · 🧮 math.CO

Unification of graph products and compatibility with switching

classification 🧮 math.CO
keywords graphproductsswitchingcompatibilitygraphsunifiedcompatibledefine
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We define the type of graph products, which enable us to treat many graph products in a unified manner. These unified graph products are shown to be compatible with Godsil--McKay switching. Furthermore, by this compatibility, we show that the Doob graphs can also be obtained from the Hamming graphs by switching.

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