two sides of the edge e, and where the summation goes over all edges of T . The λ -modified Wiener index is defined as Wλ (T ) = ∑ e [nT,1(e) · nT,2(e)] . For each λ > 0 and each integer d with 3 ≤ d ≤ n− 2, we determine the trees with minimal λ -modified Wiener indices in the class of trees with n vertices and diameter d. The reverse Wiener index of a tree T with n vertices is defined as Λ (T)...

We extend Sandholm’s bidtree-based IDA* algorithm for combinatorial auction winner determination to deal with negotiation over tasks with precedence constraints. We evaluate its performance, and show that the order of items in the bidtree has a major impact on performance. Specifically, performance is enhanced if the items with the largest numbers of bids are at the top of the bidtree. This is ...

In cities, trees are seen predominantly as entities that beautify streets, parks and gardens. Often they’re regarded obstacles to urban development, where their importance ecosystem health plays a secondary role economic growth. How can multispecies art offer new perspectives on crucial contributions life? Branching Songs is project with old in the Vancouver area, including ‘1308 Trees’, forest...

sesame (sesamum indicum l.) seed and oil have long been used widely as healthy foods to supply energy and prevent aging. some of the main active anti-oxidative constituents in sesame seeds are γ-tocopherol and phenols. the purpose of this study was to investigate the relationship between roasting temperature and time with γ-tocopherol and total phenolic compounds (tpc) of sesame seeds when roas...

Using a result of Tian concerning deformation of negatively curved metrics to Einstein metrics, we conclude that, for any fixed link with hyperbolic complement, there is a class of irregular branched covering spaces, branched over that link, effectively detectable by their branching indices, which consists entirely of closed hyperbolic manifolds. Section 0 Introduction. One of the elusive compo...

Normalizing the number of breakpoints between two genomes, previously reduced by deleting the genes specific to one or the other, gives a rapidly calculated index of gene order evolution which is not based on any assumptions about the relative importance of various possible rearrangement processes. This is used to compare chloroplast genomes with known gene orders, with a focus on recently sequ...