In this paper, we discuss an extension of split cuts that is based on widening the underlying disjunctions. That the formula for deriving intersection cuts based on splits can be adapted to this case has been known for a decade now. For the first time though, we present applications and computational results. We further discuss extensions of the existing theory with respect to cut strengthening...

t he purpose of this study was to examine farm operations cooperation groups in central agricultural zone of delta state, nigeria. all the members of the six  selected groups were used for the study. the data which were collected with the use of questionnaire and interview schedule were analyzed with the use of frequency counts, percentages and tobit regression model. most of the members were ...

The non-split extension group $overline{G} = 5^3{^.}L(3,5)$ is a subgroup of order 46500000 and of index 1113229656 in Ly. The group $overline{G}$ in turn has L(3,5) and $5^2{:}2.A_5$ as inertia factors. The group $5^2{:}2.A_5$ is of order 3 000 and is of index 124 in L(3,5). The aim of this paper is to compute the Fischer-Clifford matrices of $overline{G}$, which together with associated parti...

We consider the following generalization of split graphs: A graph is said to be a (k, l)-graph if its vertex set can be partitioned into k independent sets and l cliques. (Split graphs are obtained by setting k = l = 1). Much of the appeal of split graphs is due to the fact that they are chordal, a property not shared by (k, l)-graphs in general. (For instance, being a (k, 0)-graph is equivalen...

Let p be an odd prime number, k an imaginary abelian field containing a primitive p-th root of unity, and k∞/k the cyclotomic Zp-extension. Denote by L/k∞ the maximal unramified pro–p abelian extension, and by L′ the maximal intermediate field of L/k∞ in which all prime divisors of k∞ over p split completely. Let N/k∞ (resp. N ′/k∞) be the pro–p abelian extension generated by all p-power roots ...

We use an extension of Gordon-Litherland pairing to thickened surfaces give a topological characterization alternating links in surfaces. If $\Sigma$ is closed oriented surface and $F$ compact unoriented $\Sigma \times I$, then the defines symmetric bilinear on first homology $F$. A I$ called definite if its form. prove that non-split link $L$ only it bounds two opposite sign.

the purpose of this study was to assess the process of extension program development in iranian agricultural extension system (iaes). the research instrument was a structural questionnaire with close-ended questions which its validity and reliability was confirmed by using expert panel and cranach’s alpha test, respectively. the target population of this research included all extension managers...