Following the recursive definition of the hypercube Q n , we define the augmented cube AQ n . After showing that its graph is vertex-symmetric, (2n ؊ 1)-regular, and (2n ؊ 1)-connected and that it has diameter  n/2 , we describe optimal routing and broadcasting procedures. The augmented cube possesses several embeddable properties that the hypercube and its variations do not possess.

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In recent years control theory has been applied to biological systems with the aim of identifying the minimum set of molecular interactions that can drive the network to a required state. However, in an intra-cellular network it is unclear how control can be achieved in practice. To address this limitation we use viral infection, specifically human immunodeficiency virus type 1 (HIV-1) and hepatitis C virus (HCV), as a paradigm to model control of an infected cell. Using a large human signalling network comprised of over 6000 human proteins and more than 34000 directed interactions, we compared two states: normal/uninfected and infected. Our network controllability analysis demonstrates how a virus efficiently brings the dynamically organised host system into its control by mostly targeting existing critical control nodes, requiring fewer nodes than in the uninfected network. The lower number of control nodes is presumably to optimise exploitation of specific sub-systems needed for virus replication and/or involved in the host response to infection. Viral infection of the human system also permits discrimination between available network-control models, which demonstrates that the minimum dominating set (MDS) method better accounts for how the biological information and signals are organised during infection by identifying most viral proteins as critical driver nodes compared to the maximum matching (MM) method. Furthermore, the host driver nodes identified by MDS are distributed throughout the pathways enabling effective control of the cell via the high ‘control centrality’ of the viral and targeted host nodes. Our results demonstrate that control theory gives a more complete and dynamic understanding of virus exploitation of the host system when compared with previous analyses limited to static single-state networks.

The spotted pod borer Maruca vitrata (Geyer) is known for its economic importance throughout its geographical distribution because of its destructive nature to reproductive parts of several grain legume crops including pigeonpea. In view of the importance of the pest, the present study was carried out on the association of different morpho-chemical traits with resistance/susceptibility to M. vitrata at the International Crops Research Institute for the Semi-Arid Tropics, Patancheru, India. Trichome length and density, sugars, proteins and phenols were found to be associated with resistance to M. vitrata in short-duration pigeonpea genotypes. Pod damage by M. vitrata on different short-duration pigeonpea genotypes in the field ranged from 5.8 to 68%. Laboratory studies showed less consumption of food and reduced larval and pupal weights of M. vitrata when reared on the resistant genotypes ICPL 98003 and ICPL 98008 indicating antibiosis effects of the genotypes. Trichome density on upper and lower surfaces of the leaf (390 and 452/9 mm 2 ), and length (3.5 mm) and trichome density (442/9 mm 2 ) and length (5.9 mm) on pods were found positively correlated with the resistant genotype ICPL 98003. High sugar content in flowers (22%) and pods (10.6%) was responsible for the susceptibility of ICPL 88034, while high phenol concentration in flowers (6.5%) and pods (9.3%) in ICPL 98003 was responsible for resistance. Protein content in pods was significantly higher (25.5%) in susceptible ICPL 88034 when compared with resistant ICPL 98003 (16.5%). Based on these results, ICPL 98003 and ICPL 98008 were categorized as highly resistant and ICPL 98012 as moderately resistant. This paper discusses the physico-chemical traits associated with resistance to M. vitrata in short-duration pigeonpea genotypes.

Groundwater is a vital resource for most developmental activities. Demand for groundwater is increasing due to paucity of surface water and recurrent failures of monsoons. Increasing demand for groundwater causes water level to decline and water quality to deteriorate. This data article is aimed to investigate the quality of drinking water of Obulavaripalli Mandal YSR district based on water quality Index (WQI). To evaluate WQI in the study area, twenty groundwater samples were collected and different physico-chemical parameters viz., pH, EC, TDS, TH, total alkalinity (TA), calcium (Ca 2+ ), magnesium (Mg 2+ ), chloride (Cl − ), sulphate (SO 4 2− ) and fluoride (F ˉ ) were analyzed. WQI data for groundwater samples indicated that 30% of the samples fall under excellent rating, 40% of the samples fall under good category and another 30% of the groundwater is under poor category. Overall groundwater quality is not suitable for drinking purpose.

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