The diet and influence of the spionid polychaete Marenzelleria on benthic communities in coastal Newfoundland

Spionid polychaetes within the genus Marenzelleria are common inhabitants of organically enriched sediments in the Northern hemisphere. The species M. viridis has unique ventilation behaviors that create dynamic, fluctuating oxygen conditions in sediments, enhancing sulfate reduction. These behaviours may have negative effects on other macrofauna and positive effects on sulfur bacteria. A Marenzelleria species recently sampled in Newfoundland is here identified as M. viridis, and its abundance correlates little with abiotic factors and macrofaunal community composition at examined sites. Various types of surrounding sediments (oxic and suboxic as well as M. viridis burrow linings) contained surprisingly similar total prokaryotic, sulfate reducing and sulfur oxidizing bacteria numbers. The high abundance of sedimentary prokaryotes, combined with the stable isotopic composition of M. viridis tissues and lack of obvious symbionts, suggest that, thanks to its ventilation behaviour, this species may “farm” sulfur bacteria in sediments and use them as a primary food source.

Packings and coverings of the complete graph with trees

In this thesis, we define the spectrum problem for packings (coverings) of G to be the problem of finding all graphs H such that a maximum G-packing (minimum G- covering) of the complete graph with the leave (excess) graph H exists. The set of achievable leave (excess) graphs in G-packings (G-coverings) of the complete graph is called the spectrum of leave (excess) graphs for G. Then, we consider this problem for trees with up to five edges. We will prove that for any tree T with up to five edges, if the leave graph in a maximum T-packing of the complete graph Kn has i edges, then the spectrum of leave graphs for T is the set of all simple graphs with i edges. In fact, for these T and i and H any simple graph with i edges, we will construct a maximum T-packing of Kn with the leave graph H. We will also show that for any tree T with k ≤ 5 edges, if the excess graph in a minimum T-covering of the complete graph Kn has i edges, then the spectrum of excess graphs for T is the set of all simple graphs and multigraphs with i edges, except for the case that T is a 5-star, for which the graph formed by four multiple edges is not achievable when n = 12.