The inflation $G_{I}$ of a graph $G$ with $n(G)$ vertices and $m(G)$ edges is obtained from $G$ by replacing every vertex of degree $d$ of $G$ by a clique, which is isomorph to the complete graph $K_{d}$, and each edge $(x_{i},x_{j})$ of $G$ is replaced by an edge $(u,v)$ in such a way that $uin X_{i}$, $vin X_{j}$, and two different edges of $G$ are replaced by non-adjacent edges of $G_{I}$. T...

it is shown that when a special vertex stretching is applied to a graph, the cochordal cover number of the graph increases exactly by one, as it happens to its induced matching number and (castelnuovo-mumford) regularity. as a consequence, it is shown that the induced matching number and cochordal cover number of a special vertex stretching of a graph g are equal provided g is well-covered bipa...

We give sufficient conditions for an R-covered codimension one foliation F of a closed 3-manifold to be carried by an Rcovered branched surface; that is, a branched surface carrying only foliations with the R-covered property. These conditions can be readily verified for many examples. In cases where the branched surface is generated by disks, the R-covered property is stable for F in the sense...

Background Both rising healthcare costs and the global financial crisis have fueled a search for policy tools in order to avoid unsustainable future financing of essential health benefits. The scope of essential health benefits (the range of services covered) and depth of coverage (the proportion of costs of the covered benefits that is covered publicly) are corresponding variables in determini...

A collection of geometric selection lemmas is proved, such as the following: For any set P of n points in three-dimensional space and any set ,9 of m spheres, where each sphere passes through a distinct point pair in P, there exists a point x, not necessarily in P, that is enclosed by f2 (m ! (n log )) of the spheres in S. Similar results apply in arbitrary fixed dimensions, and for geometric b...

Fourteen years after its initial description, the nuclear factor k B (NFk B) signaling pathway endures as a prime example of rapidly responsive gene regulation (Sen and Baltimore, 1986). Even with the complexities revealed through the elucidation of converging activation pathways and diverging downstream effectors, a generalized scheme of NFk B signaling remains elegant in its logic: (a) extern...

Generalizing the novel clause elimination procedures developed in [1], we introduce explicit (CCE), hidden (HCCE), and asymmetric (ACCE) variants of a procedure that eliminates covered clauses from CNF formulas. We show that these procedures are more effective in reducing CNF formulas than the respective variants of blocked clause elimination, and may hence be interesting as new preprocessing/s...

Covered bonds1 have emerged as a potentially preferred funding vehicle from the credit crisis, and they were already a major part of many European financial systems. Although some prices are directly available on, for example Bloomberg2, there is no detailed examination of how covered bonds should be priced taking into account the features that make them attractive to investors: i.e. over-colla...

this thesis looked at the effect of clay and silt soil blocking the heat transfer area of the radiator and its effect on the engine coolant through the conduct of experiments and a mathematical model developed. the results indicated that the percentage area covered resulted in a proportional increase of the inlet and outlet temperatures of the coolant in the radiator. the mathematically model d...