s/alpha/Fe Abundance Ratios in Halo Field Stars: Is there a Globular Cluster Connection?

We try to understand the s- and r-process elements vs Ti/Fe plots derived by Jehin et al. (1999) for mildly metal-poor stars within the framework of the analytical semi-empirical models for these elements by Pagel & Tautvaisiene (1995, 1997). Jehin et al. distinguished two Pop II subgroups: IIa with alpha/Fe and s-elements/Fe increasing together, which they attribute to pure SNII activity, and IIb with constant alpha/Fe and a range in s/Fe which they attribute to a prolonged accretion phase in parent globular clusters. However, their sample consists mainly of thick-disk stars with only 4 clear halo members, of which two are `anomalous' in the sense defined by Nissen & Schuster (1997). Only the remaining two halo stars (and one in Nissen & Schuster's sample) depart significantly from Y/Ti (or s/alpha) ratios predicted by our model.Comment: 6 pages, 5 figures To appear in: Roma-Trieste Workshop 1999: `The Chemical Evolution of the Milky Way: Stars vs Clusters', Vulcano Sept. 1999. F. Giovanelli & F. Matteucci (eds), Kluwer, Dordrech

Coloring Sums of Extensions of Certain Graphs

Recall that the minimum number of colors that allow a proper coloring of graph $G$ is called the chromatic number of $G$ and denoted by $\chi(G).$ In this paper the concepts of $\chi$'-chromatic sum and $\chi^+$-chromatic sum are introduced. The extended graph $G^x$ of a graph $G$ was recently introduced for certain regular graphs. We further the concepts of $\chi$'-chromatic sum and $\chi^+$-chromatic sum to extended paths and cycles. The paper concludes with \emph{patterned structured} graphs.Comment: 12 page

Adolescent health problems in India: A review from 2001 to 2015

Adolescence is a period in which all the habits and behaviour like high risk behaviour, substance abuse and eating habits develop that have lifelong impact. In India, programmes have been launched to address all the problems faced during adolescent period, still then adolescents are facing problems. In this review the problems faced by Indian adolescents were highlighted from the past 14 years’ studies. The studies were searched from 2001 to 2015 from Pub Med, Google scholar and other community medicine and public health related journals. The problems included were sexual health and teenage pregnancy, problems related to menstruation, illicit drugs, tobacco and alcohol use. Anaemia, eating problems, obesity, behavioural problems and oral health among adolescent were also reviewed. Nineteen abstracts and 52 full texts were available. Sexual health knowledge among adolescent varies from 41% to poor. Knowledge about sexually transmitted diseases and sexuality is less. Prevalence of dysmenorrhoea varies from 67.2% to 56.15% among adolescent girls. Prevalence of tobacco use varies from 25.1 to 12%. Prevalence of obesity varies from 3.4% to 0.35% and overweight varies from 5.5% to 5.84%. Prevalence of anaemia varies from 29% to 41.1%. Adolescents are facing depressive problems, physical fights, worry and loneliness. Prevalence of depression varies from 18.4% to 13.3%. Prevalence of dental problems varies from 18.2 to 41%. The review revealed that adolescents in India are facing problems of sexually transmitted infections, dysmenorrhea, tobacco and alcohol use, depression, physical fights, worry, loneliness and oral health problems. This needs a participation of family, community and government to resolve the issue

Coloring sums of extensions of certain graphs

We recall that the minimum number of colors that allow a proper coloring of graph $G$ is called the chromatic number of $G$ and denoted $\chi(G)$. Motivated by the introduction of the concept of the $b$-chromatic sum of a graph the concept of $\chi'$-chromatic sum and $\chi^+$-chromatic sum are introduced in this paper. The extended graph $G^x$ of a graph $G$ was recently introduced for certain regular graphs. This paper furthers the concepts of $\chi'$-chromatic sum and $\chi^+$-chromatic sum to extended paths and cycles. Bipartite graphs also receive some attention. The paper concludes with patterned structured graphs. These last said graphs are typically found in chemical and biological structures