A tree t-spanner of a graph G is a spanning subtree T of G in which the distance between every pair of vertices is at most t times their distance in G. Spanner problems have received some attention, mostly in the context of communication networks. It is known that for general unweighted graphs, the problem of deciding the existence of a tree t-spanner can be solved in polynomial time for t = 2,...

In a study oln the effect of light quality on plant growth we found a direct relationship between IAA content and plant height (1). Of the several spectral regions used the red produced plants which were the shortest andl had the least IAA. Using low intensity radiation MIeijer (3) also obtained inhibition of elongation in red light but was able to obtain some reversal by the addition of IAA an...

In this paper we study the chromatic number for graphs with two prescribed induced cycle lengths. It is due to Sumner that triangle-free and P 5-free and triangle-free, P 6-free and C 6-free graphs are 3-colourable. A canonical extension of these graph classes is G

We generalize the following theorem to oriented matroids: Consider a polytope P and a facet F 0 of P, let H denote the hyperplanes spanned by F 0. Let d denote the diameter of the coskeleton of P. To each facet choose a deening inequality and let these set of inequalities F be partitioned by the distance of the corresponding facets to F 0 in the coskeleton of P into F = d

Introduction: Glioblastoma multiforme (GBM) is the most frequent primary malignant tumor of the brain. But, the treatment of GBM is one of the most problems in cancer therapy because of poor drug penetration across the blood-brain barrier (BBB). Targeting drug delivery system and conjugating targeting moieties was recognized to overcome the poor penetration of chemotherapy drug...

Object proposals have become an integral pre-processing step of many vision pipelines including object detection, weakly supervised discovery, tracking, etc. Compared to the learning-free methods, learning-based popular recently due growing interest in detection. The common paradigm is learn from data labeled with a set regions and their corresponding categories. However, this approach often st...