Generalized Lucas cubes
نویسنده
چکیده
Let f be a binary string and d C 1. Then the generalized Lucas cube Qd(JÐf ) is introduced as the graph obtained from the d-cube Qd by removing all vertices that have a circulation containing f as a substring. The question for which f and d, the generalized Lucas cube Qd(JÐf ) is an isometric subgraph of the d-cube Qd is solved for all binary strings of length at most five. Several isometrically embeddable and non-embeddable infinite series where f is of arbitrary length are given. Some structural properties of generalized Lucas cubes are also presented.
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