Consider a graph G = (V, E) and a coloring c of vertices with colors from [l]. A vertex v is said to be happy with respect to c if c(v) = c(u) for all neighbors u of v. Further, an edge (u, v) is happy if c(u) = c(v). Given a partial coloring c of V, the Maximum Happy Vertex (Edge) problem asks for a total coloring of V extending c to all vertices of V that maximises the number of happy vertice...

adsorption and water treatment of ca (ii) and mg (ii) hardness were investigated via adsorption of metal ions onto commercial polyacrylic acid hydrogel beads as a novel sorbent for metal ions (ca2+, mg2+) removal and water treatment. batch equilibrium technique was carried out under the influence of solution ph, contact time, sorbent dosage, initial metal concentration and competitive study. th...

Water is a unique natural resource among all sources available on earth. It plays an important role in economic development and the general well-being of the country. This study aimed at using the application of water quality index in evaluating the ground water quality innorth-east area of Jaipur in pre and post monsoon for public usage. Total eleven physico–chemical characteristics; total dis...

STUDY OBJECTIVE To examine the association of spatial variation in acute myocardial infarction (AMI) incidence and its putative environmental determinants in ground water such as total water hardness, the concentration of calcium, magnesium, fluoride, iron, copper, zinc, nitrate, and aluminium. DESIGN Small area study using Bayesian modelling and the geo-referenced data aggregated into 10 km ...

− The authors numerically discuss the accuracy of the hardness values of standard hardness blocks by evaluating the uniformity of hardness blocks and the resolution of hardness values according to test method. As a result of reviewing the results of this evaluation and the reasonability of the currently proposed method for evaluating the uncertainty of hardness values, it is revealed that the v...

This study was conducted to evaluate the effects of various protein sources (soybean meal, SBM; cottonseed protein, CSP; double-zero rapeseed meal, DRM) on the internal quality of refrigerated eggs. A total of 360 laying hens (32 wk of age) were randomly allotted to six treatment groups (five replicates per treatment) and fed diets containing SBM, CSP, or DRM individually or in combination with...

OBJECTIVES To investigate the role of low-intensity extracorporeal shockwave therapy in the treatment of erectile dysfunction. METHODS This was a double-blinded, single-center, prospective, randomized, placebo-controlled trial. After a 2-week phosphodiesterase type 5 inhibitor washout period, patients were assessed with Sexual Health Inventory for Men, International Index of Erectile Function...

The textile industry represents a range of industries with operations and processes as diverse as its products. Textile industry effluents account for several point sources of water pollution thus posing negative effects on aquatic lives and human health. The paper contains results of a study carried out in agricultural fields of Sanganer town. This paper contains results of physico-chemical an...

We show that the Euclidean value of < V/Vmax > for gamma-ray bursts (GRB) selected on a timescale of 1024 ms is correlated with spectral hardness. The value of < V/Vmax > ranges from ∼ 0.42 for soft bursts to ∼ 0.26 for the hardest bursts. Given that the Euclidean value of< V/Vmax > for cosmological objects in a well defined sample is a distance indicator, the hard bursts must reside at larger ...