Some Validations in Liliaceae

Chromosome diversity and evolution in Liliaceae.

BACKGROUND AND AIMS There is an extensive literature on the diversity of karyotypes found in genera within Liliaceae, but there has been no attempt to analyse these data within a robust phylogenetic framework. In part this has been due to a lack of consensus on which genera comprise Liliaceae and the relationships between them. Recently, however, this changed with the proposal for a relatively ...

Redescription and Distribution of Muilla Coronata (Liliaceae)

Validations of the Asymptotic Matching Conjectures

In this paper we review the asymptotic matching conjectures for rregular bipartite graphs, and their connections in estimating the monomerdimer entropies in d-dimensional integer lattice and Bethe lattices. We prove new rigorous upper and lower bounds for the monomer-dimer entropies, which support these conjectures. We describe a general construction of infinite families of r-regular tori graph...

Valid Validations: Bare Basics and Proven Procedures

Language resources (LRs) are essential for research and application development. In this article we outline relevant principles for LR validation. We argue that the best way to validate LR is to implement it all along the way of LR production and have it carried out by an external and experienced institute, so that this institute can help define the validation criteria in terms of LR specificat...

Variation in floral sex allocation in Polygonatum odoratum (Liliaceae).

BACKGROUND AND AIMS It is well known that resource allocation to male and female functions can be highly variable in hermaphroditic plants. The purpose of this study was to investigate variations in sexual investment at different levels (flower, plant and population) in Polygonatum odoratum, a plant with sequentially opening flowers. METHODS Pollen and ovule production in base, middle and top...