In this paper we consider bi-Cohen-Macaulay graphs, and give a complete classification of such graphs in the case they are bipartite or chordal. General biCohen-Macaulay graphs are classified up to separation. The inseparable bi-CohenMacaulay graphs are determined. We establish a bijection between the set of all trees and the set of inseparable bi-Cohen-Macaulay graphs.

Poverty in the developing world will decline by about one-half by 2015 if current growth trends and policies persist. A disproportionate share of this poverty reduction will occur in East and South Asia, however, while poverty will decline only slightly in Sub-Saharan Africa and will increase in Eastern Europe and Central Asia. More effective aid could make an important contribution to greater ...

Official Full-Text Publication: Early maladaptive schemas of personality disorder different types of disorders to Early Maladaptive Schemas (Waller et al., 1993. A cognitive schema can be defined as a mental representation of knowledge Cohen (1993) argued that: the concept of schema is too vague to be useful and it. psychology literature (Bassok & Holyoak, 1993, Brown & Kane, 1988, Detterman, 1...

We show that a finite regular cell complex with the intersection property is a Cohen-Macaulay space iff the top enriched cohomology module is the only nonvanishing one. We prove a comprehensive generalization of Balinski’s theorem on convex polytopes. Also we show that for any Cohen-Macaulay cell complex as above, although there is now generalization of the Stanley-Reisner ring of simplicial co...

‎let $i$ be an ideal in a regular local ring $(r,n)$‎, ‎we will find‎ ‎bounds on the first and the last betti numbers of‎ ‎$(a,m)=(r/i,n/i)$‎. ‎if $a$ is an artinian ring of the embedding‎ ‎codimension $h$‎, ‎$i$ has the initial degree $t$ and $mu(m^t)=1$‎, ‎we call $a$ a {it $t-$extended stretched local ring}‎. ‎this class of‎ ‎local rings is a natural generalization of the class of stretched ...