… have investigated connections between dimension for posets and planarity … tree-width
by proving that the dimension of a finite poset is bounded in terms of its height and the tree-width …

… All concepts in this paper are strong generalizations of the ‘traditional’ treewidth concept
that is covered in [1]. To make this paper accessible to the majority of computer scientists, each …

… Thus, by our result, all of these graphs have threedimensional drawings with O(n) volume,
and O(1) queue-number. To prove our results for graphs of bounded tree-width, we employ a …

… graph drawing is almost equivalent to an existing one-dimensional graph layout problem …
-number, tree-width and path-width; and obtain O(n) volume three-dimensional drawings of …

… tree-width have bounded Boolean dimension. This stands in contrast with the fact that there
are posets with cover graphs of tree-width three and arbitrarily large dimension. … dimension? …

… works as follows: rewriting H=0*0+B Id with 0=2Âi(ÂzÄ+zÂ4), we see that HB Id and F0=ker
0 is the infinite dimensional space of L2 functions (z)=e&|z|2Â4.(z), where . is holomorphic. …

… Tree-width, in particular, has garnered significant attention due to its broad range of … In
this work, we revisit these parameters and their applications, focusing specifically on tree-width …

… Conjecture The dimension of a poset is bounded in terms of its height and the tree-width
of its cover graph. Formally, for every pair (t, h), there is a constant d = d(t, h) so that if P is a …

… Bounded tree-width spanners in higher dimensions In this section, we present an algorithm
for constructing bounded tree-width spanners for points in Rd for constant dimension d. As …

… To define our sparsity condition we associate with these polynomials a hypergraph and study
classes of polynomials where this hypergraph has tree width at most k for some fixed k ∈ ℕ…