In 2000, Rees and Shalaby constructed simple indecomposable two-fold cyclic triplesystems for all v ≡ 0, 1, 3, 4, 7, and 9 (mod 12) where v = 4 or v ≥ 12, using Skolem-type sequences.We construct, using Skolem-type sequences, three-fold triple systems having theproperties of being cyclic, simple, and indecomposable for all admissible orders v, withsome possible exception...

Strong Cyclic Planning aims at generating iterative plans that only allow loops so far as there is a chance to reach the goal. The problem is already significantly complex for fully observable domains; when considering partially observable domains, even providing a formal definition is far from straightforward. In this work, we provide a formal definition of Strong Cyclic Planning under Partial...

In this paper, we shall prove the fixed point theorems in metric space using \(\alpha\) - admissible mapping. Some existing results of literature be deduced from main results. end, provide an example to support our result.

In this thesis we compare several combinatorial models for the Moduli space of open-closed cobordisms and their compactifications. More precisely, we study Godin’s category of admissible fat graphs, Costello’s chain complex of black and white graphs, and Bödigheimer’s space of radial slit configurations. We use Hatcher’s proof of the contractibility of the arc complex to give a new proof of a r...

Let I be a finite or infinite index set, let X be a topological space, and let Yi, φNi i∈I be a family of FC-spaces. For each i ∈ I, letAi : X → 2i be a set-valued mapping. Some new existence theorems of maximal elements for a set-valued mapping and a family of set-valued mappings involving a better admissible set-valuedmapping are established under noncompact setting of FC-spaces. Our results ...

We compute an explicit formula for the first Chern class of Hodge Bundle over space admissible cyclic $\mathbb{Z}/3\mathbb{Z}$ covers $n$-pointed rational stable curves as a linear combination boundary strata. then apply this to give recursive calculating certain integrals containing $\lambda_1$. also consider with ${\mathbb{Z}}/{2\mathbb{Z}}$ action which we $\lambda_2$ codimension two

Notice that best proximity point results have been studied to find necessaryconditions such that the minimization problemminx∈A∪Bd(x,Tx)has at least one solution, where T is a cyclic mapping defined on A∪B.A point p ∈ A∪B is a best proximity point for T if and only if thatis a solution of the minimization problem (2.1). Let (A,B) be a nonemptypair in a normed...

Both the yeast nascent polypeptide-associated complex (NAC) and the Hsp40/70-based chaperone system RAC-Ssb are systems tethered to the ribosome to assist cotranslational processes such as folding of nascent polypeptides. While loss of NAC does not cause phenotypic changes in yeast, the simultaneous deletion of genes coding for NAC and the chaperone Ssb (nacΔssbΔ) leads to strongly aggravated d...