In this paper, we study the Menger property on a class of hypercube-like networks. We show that in all n-dimensional hypercubelike networks with n − 2 vertices removed, every pair of unremoved vertices u and v are connected by min{deg(u),deg(v)} vertex-disjoint paths, where deg(u) and deg(v) are the remaining degree of vertices u and v, respectively. Furthermore, under the restricted condition ...

We study subgroups of Z which possess group theoretic properties analogous to properties introduced by Menger (1924), Hurewicz (1925), Rothberger (1938), and Scheepers (1996). The studied properties were introduced independently by Kočinac and Okunev. We obtain purely combinatorial characterizations of these properties, and combine them with other techniques to solve several questions of Babink...

This is a paper based on author’s lectures delivered at the 2005 Clay Mathematics Institute summer school at MSRI. It serves as an overview on the Kähler-Ricci flow over complete noncompact manifolds.

INFLUENCES OF THE LOGGERHEAD SPONGE (SPHECIOSPONGIA VESPARIUM) AND THE VASE SPONGE (IRCINIA CAMPANA) ON NEARSHORE HARDBOTTOM COMMUNITY DEVELOPMENT IN THE FLORIDA KEYS Scott Donahue Old Dominion University, 2008 Director: Dr. Mark J. Butler IV Sponges, octocorals, and stony corals are the dominant sessile fauna within shallow, hard-bottom communities in the Florida Keys, FL (USA). The sponge com...

this experiment were carried out to compare different short-term oestrous synchronization methods in farahani ewes to determine of the best method, so were used 123 ewes from a herd in delijan city in markazi province. after ensuring their health, ewes were divided  to five experimental groups randomizely. the oestrous cycles of the ewes were synchronized using these five methods: 1) use of cid...

To meet the needs of sponge city construction, based on design method mix proportion green porous ecological concrete, engineering performance concrete was studied with orthogonal experimental. The results show that compressive strength specimens peaked at 0.9% admixture sponge; optimal sponge, 12% mineral powder; compared ordinary water-retaining property is twice than ordinary, and has high p...

Heterotrophic bacteria associated with the Caribbean sclerosponge, Ceratoporella nicholsoni (Hickson), were found to occur extracellularly and were confined to the mesohyl regions of the sponge tissue. Physiological, metabolic, and morphological attributes of the culturable bacteria associated with the sponge were recorded by using numerical taxonomy methods for the analysis of 158 phenotypic a...

Ocean warming is affecting marine benthic ecosystems through mass mortality events that involve marine invertebrates, in particular bivalves, corals, and sponges. Among these events, extensive die-offs of Ircinia fasciculata sponges have been recurrently reported in western Mediterranean. The goal of our study was to test whether the temperature-related mass sponge die-offs were associated with...

BACKGROUND AND OBJECTIVE A three-dimensional scaffold may play an important role in periodontal tissue engineering. We prepared bio-safe collagen hydrogel, which exhibits properties similar to those of native extracellular matrix. The aim of this study was to examine the effect of implantation of collagen hydrogel/sponge scaffold on periodontal wound healing in class II furcation defects in dog...