Efficient domination in knights graphs

The influence of a vertex set S ⊆V(G) is I(S) = Σv∈S(1 + deg(v)) = Σv∈S |N[v]|, which is the total amount of domination done by the vertices in S. The efficient domination number F(G) of a graph G is equal to the maximum influence of a packing, that is, F(G) is the maximum number of vertices one can dominate under the restriction that no vertex gets dominated more than once. In this paper, we consider the efficient domination number of some finite and infinite knights chessboard graphs

Embedding Law in Participatory Processes Enables an Ecosystem Approach to Marine Decision Making : Analysis of a North Sea Example

Publisher PD

Queen\u27s domination using border squares and (\u3ci\u3eA\u3c/i\u3e,\u3ci\u3eB\u3c/i\u3e)-restricted domination

In this paper we introduce a variant on the long studied, highly entertaining, and very difficult problem of determining the domination number of the queen\u27s chessboard graph, that is, determining how few queens are needed to protect all of the squares of a k by k chessboard. Motivated by the problem of minimum redundance domination, we consider the problem of determining how few queens restricted to squares on the border can be used to protect the entire chessboard. We give exact values of border-queens required for the k by k chessboard when 1≤k≤13. For the general case, we present a lower bound of k(2-9/2k-√(8k2-49k+49)/2k) and an upper bound of k-2. For k=3t+1 we improve the upper bound to 2t+1 if 3t+1 is odd and 2t if 3t+1 is even. We generalize this problem to (A,B)-restricted parameters for vertex subsets A and B of V(G) where, for example, one must use only vertices in A to dominate all of B. Defining upper and lower parameters for independence, domination, and irredundance, we present a generalization of the domination chain of inequalities relating these parameters

Theoretical aspects of the study of top quark properties

We review some recent theoretical progresses towards the determination of the top-quark couplings beyond the standard model. We briefly introduce the global effective field theory approach to the top-quark production and decay processes, and discuss the most useful observables to constrain the deviations. Recent improvements with a focus on QCD corrections and corresponding tools are also discussed.Comment: 8 pages, 6 figures. Based on plenary talk given at LHCP2017, Shanghai, 15-20 May 201

The Experiences of Adult Education Instructors Adapting to the Online Teaching and Learning Environment

This case study tracks the narrative journey of four faculty women as they discovered ways to handle the transitional experience of moving from face-to-face classroom teaching into an online asynchronous adult learning environment. It is the intention of the study that, by documenting the experiences of these faculty, we will be able to provide recommendations that will assist and support other faculty beginning to teach in an online environment

Passport to the oceans of the future: delivering marine energy with science linked to policy

In February 2021, a group from MASTS, Environmental Interactions of Marine Renewables (EIMR) and Marine Scotland began exploring options for a joint event on marine energy science and policy development. The original concept was to bridge the gap between events that each group would normally arrange ‘in person’ and the virtual world in which we were all currently existing. Encouraged by the online support and experience available from MASTS, a steering group decided to arrange a workshop. In order to straddle our interests, the starting point was the capacity of the North Sea to deliver renewable energy. We wanted to include emerging science and the timing of the review of Scotland’s National Marine Plan provided an excellent context. We sought to deliver a wide range of content but encourage participant conversation. We aimed for a range of speakers delivering 7-minute recorded talks. Talks included findings from funded research, ongoing projects, and some emerging thinking across the science policy interface for marine planning. Marine energy was interpreted in the widest of senses, but the main focus was on offshore wind in UK waters, with particular detail about Scotland.Publisher PD

The graph distance game

In the graph distance game, two players alternate in constructing a maximal path. The objective function is the distance between the two endpoints of the path, which one player tries to maximize and the other tries to minimize. In this note, we examine the distance game for various graphs, and provide general bounds, exact results for special graphs, and an algorithm for trees. Computer calculations suggest interesting conjectures for grids

Synthesis and Evaluation of Polyamines as Antimalarial Agents

Plasmodium species is transmitted between humans by the female anopheles mosquito. It kills 1.5-2.7 million people every year and 40% of humanity lives in an endemic area. Throughout time numerous attempts have been made to control the disease through natural remedies such as quinine (A) and artemisinin (B), synthetic drugs e.g. chloroquine (C), and also by the use of bed nets and insect repellents. Polyamines such as putrescine (D), spermidine (E) and spermine (F) are naturally occurring and are widespread in nature. They have been shown to be important in fundamental processes such as cell proliferation and differentiation. The study of these compounds has led to the development of polyamine analogues to treat a wide range of diseases from cancer and parasitic diseases through to their use as anti-fungal agents. We started work in this area when a simple putrescine analogue (G) was shown to have promising antimalarial activity and became the "lead" compound for this project. Initially we synthesized a number of analogues of (G) varying the carbon chain and the substitution patterns on the nitrogens. We did not see any improvement in activity until a N,N'-bisbenzyl compound was prepared; however in vivo results were disappointing. We decided to investigate analogues of higher polyamines as these had shown better activity than putrescine analogues by workers in the cancer field. Surprisingly the spermidine analogues that were prepared showed little antimalarial activity, although separate tests showed them to have excellent anti-fungal properties. The spermine analogues synthesized were more promising with the bisbenzyl analogue (H) the most active in vitro so far. It was known that the genome of P. falciparum is rich in adenine and thymine base pairs compared to the human host so we decided to study some AT specific binding agents to see if this improved the activity. We decided to incorporate the N,N-dimethylaminoethyl (I) and propioamidino (J) moieties into spermine analogues to see if antimalarial activity increased. These functional groups had been used previously in AT binding agents. No test data is available on these compounds. A number of compounds were prepared and we observed increased activity as we added hydrophobic benzyl groups and also as we increased the number of nitrogens present to four, as in spermine analogues. This is in agreement with the hypothesis that DNA binding is related to the activity of the compounds which itself is controlled by the increased number of nitrogens in the compound. A number of compounds are still awaiting testing. We have prepared a range of polyamines, both known and novel, and examined their antimalarial activity