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Extended Keller graph and its properties
Abstract:Abstract

In the paper extended Keller graph /></span> is defined and some of its properties, such as Hamiltonian, the independence number, the chromatic number, etc., are proved. Moreover, the size of a maximum clique of <span class= /></span> for <i>d</i> = 2, 3, 4 and <i>d</i> ≥ 8 is given and for <i>d</i> = 5, 6, 7 a conjecture is stated.</td> </tr> <tr> <td align=
Keywords:05C15  05C45  05C99
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