Kautz Graph

The Kautz graph is a directed graph of degree and dimension N+
1, which has vertices labeled by all possible strings of length N +
1 which are composed of characters chosen from an alphabet containing distinct symbols, subject to the condition that adjacent characters in the string cannot be equal .

The Kautz graph has (M + 1)M^{N
+ 1} edges

It is natural to label each such edge of as, giving a one-to-one correspondence between edges of the Kautz graph and vertices of the Kautz graph .

Kautz graphs are closely related to De Bruijn graphs.

Read more about Kautz Graph:  Properties, In Computing

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