Article

Extended Keller graph and its properties

Published in: Quaestiones Mathematicae
Volume 42 , issue 4 , 2019 , pages: 551–560

DOI: 10.2989/16073606.2018.1462865

Author(s): Magdalena Łysakowska Faculty of Mathematics, Computer Science and Econometrics, Poland

Keywords: 05C15 , 05C45 , 05C99 , 05C15 , 05C45 , 05C99

Abstract

In the paper extended Keller graph 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 for d = 2, 3, 4 and d ≥ 8 is given and for d = 5, 6, 7 a conjecture is stated.

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