Tree-width and dimension
Piotr Micek, Kevin G. Milans, William T. Trotter, Bartosz Walczak, Ruidong Wang · 2016
Abstract. Over the last 30 years, researchers have investigated connections between dimension for posets and planarity for graphs. Here we extend this line of research to the structural graph theory parameter tree-width by proving that the dimension of a finite poset is bounded in terms of its height and the tree-width of its cover graph. 1.