UNIT AND UNITARY CAYLEY GRAPHS FOR THE RING OF EISENSTEIN INTEGERS MODULO \(n\)
نویسندگان
چکیده
Let \({E}_{n}\) be the ring of Eisenstein integers modulo \(n\). We denote by \(G({E}_{n})\) and \(G_{{E}_{n}}\), unit graph unitary Cayley \({E}_{n}\), respectively. In this paper, we obtain value diameter, girth, clique number chromatic these graphs. also prove that for each \(n>1\), graphs \(G(E_{n})\) \(G_{E_{n}}\) are Hamiltonian.
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ژورنال
عنوان ژورنال: Ural mathematical journal
سال: 2021
ISSN: ['2414-3952']
DOI: https://doi.org/10.15826/umj.2021.2.003