Cayley Graph Of S3. These notes are to help with the Homework. The purpose of this study was to examine multiple examples of Cayley graphs through group theory graph theory and applications.
Let r be the rotation 1 2 3. CAYLEY DIAGRAMS toggles position 2 and s be the spin that rotates the full board. Let ε S 3 denote the identity element τ S 3 be a transposition and γ S 3.
These notes are to help with the Homework.
This helps illustrate how the Cayley graph depends on the generating set. Cayley graph of S 3 In this entry a Cayley graph of S 3 the group of permutations of 1 2 3 will be investigated. An arbitrary graph Gis said to be a Cayley graph if there ex-ists a group Band a generating set Xsuch that Gis isomorphic to the Cayley graph for Band X. Yale University Press 1964.
