Environmental Impacts of Boom-Corridor and Selectively Thinned Small-Diameter-Tree Forests

Tree spanners of small diameter

A graph that contains a spanning tree of diameter at most t clearly admits a tree t-spanner, since a tree t-spanner of a graph G is a sub tree of G such that the distance between pairs of vertices in the tree is at most t times their distance in G. In this paper, graphs that admit a tree t-spanner of diameter at most t + 1 are studied. For t equal to 1 or 2 the problem has been solved. For t = ...

Tree-decompositions with bags of small diameter

This paper deals with the length of a Robertson–Seymour’s tree-decomposition. The tree-length of a graph is the largest distance between two vertices of a bag of a tree-decomposition, minimized over all tree-decompositions of the graph. The study of this invariant may be interesting in its own right because the class of bounded tree-length graphs includes (but is not reduced to) bounded chordal...

Triamcinolone Acetonide Selectively Inhibits Angiogenesis in Small Blood Vessels and Decreases Vessel Diameter within the Vascular Tree

Backbone colouring: Tree backbones with small diameter in planar graphs

Given a graph G and a spanning subgraph T of G, a backbone k-colouring for (G,T ) is a mapping c : V (G)→ {1, . . . ,k} such that |c(u)− c(v)| ≥ 2 for every edge uv ∈ E(T ) and |c(u)− c(v)| ≥ 1 for every edge uv ∈ E(G) \E(T ). The backbone chromatic number BBC(G,T ) is the smallest integer k such that there exists a backbone k-colouring of (G,T ). In 2007, Broersma et al. [2] conjectured that B...

Diameter growth performance of tree functional groups in Puerto Rican secondary tropical forests

Aim of study: Understanding the factors that control tree growth in successional stands is particularly important for quantifying the carbon sequestration potential and timber yield of secondary tropical forests. Understanding the factors that control tree growth in successional stands is particularly important for quantifying the carbon sequestration potential and timber yield of secondary tro...