... 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, ... cubemay alternatively be defined as the graph of the distributive lattice of order-ideals of a fence poset [4, 22, 28] or as the simplex graph of the complement graph of a path graph.Since graphs...