Mineralienby H. Schröcke and K. L. Weiner

Generalized Frames for B(H, K)

Frames play significant role in various areas of science and engineering. Motivated by the work of Chander Shekhar, S. K. Kaushik and Abas Askarizadeh, Mohammad Ali Dehghan, we introduce the concepts of $K$-frames for $B(mathcal{H, K})$ and  we establish some result. Also, we consider the relationships between $K$-Frames and $K$-Operator Frames for $B(mathcal{H})$.

Optimal L(h, k)-Labeling of Regular Grids

The L(h, k)-labeling is an assignment of non negative integer labels to the nodes of a graph such that ’close’ nodes have labels which differ by at least k, and ’very close’ nodes have labels which differ by at least h. The span of an L(h, k)-labeling is the difference between the largest and the smallest assigned label. We study L(h, k)-labelings of cellular, squared and hexagonal grids, seeki...

On the L(h, k)-Labeling of Co-comparability Graphs

Given two non negative integers h and k, an L(h, k)-labeling of a graphG = (V,E) is a map from V to a set of labels such that adjacent vertices receive labels at least h apart, while vertices at distance at most 2 receive labels at least k apart. The goal of the L(h, k)-labeling problem is to produce a legal labeling that minimizes the largest label used. Since the decision version of the L(h, ...

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In Vitro Flower Production in Some Species of Hyoscyamus (H. pusillus L., H. arachnoideus Pojark, and H. niger L.)

Various plant organ segments including segments from roots (root tip, and root collar), stems, leaves, and also seeds of several Hyoscyamus species (i.e. H. pusillus, H. arachnoideus, annual and biennial H. niger from two distinct geographical regions) were cultured on MS media with various growth regulator combinations, to assess the ability of flower production. Statistical assessments showed...