... -dimensional Fibonacci cube. We give bounds on the Fibonacci dimension of a graph in terms of the isometric and lattice dimension, provide a combinatorial characterization of the Fibonacci dimension ... University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia;Faculty of Natural Sciences and Mathematics, University of Maribor, Koroˇska 160, 2000 Maribor, Slove-nia; Institute of Mathematics, ... partial cubes [16, 37].∗Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slove-nia; Institute of Mathematics, Physics and Mechanics, Jadranska 19,...