Let $$\mathcal {H}=(V,\mathcal {E})$$ be a hypergraph with maximum edge size $$\ell $$ and degree $$\varDelta . For given positive integers $$b_v$$ , $$v\in V$$ set multicover in {H}$$ is of edges $$C \subseteq \mathcal {E}$$ such that every vertex v V belongs to at least C. Set the problem finding minimum-cardinality multicover. Peleg, Schechtman Wool conjectured for any fixed $$b:=\min _{v\in...

We study the complexity theory for the local distributed setting introduced by Korman, Peleg and Fraigniaud in their seminal paper [3]. They have defined three complexity classes LD (Local Decision), NLD (Nondeterministic Local Decision) and NLD. The class LD consists of all languages which can be decided with a constant number of communication rounds. The class NLD consists of all languages wh...

We consider distance labeling schemes for trees: given a tree with n nodes, label the nodes with binary strings such that, given the labels of any two nodes, one can determine, by looking only at the labels, the distance in the tree between the two nodes. A lower bound by Gavoille et al. [Gavoille et al., J. Alg., 2004] and an upper bound by Peleg [Peleg, J. Graph Theory, 2000] establish that l...

PURPOSE Irreversible electroporation (IRE) has been developed as a promising minimally invasive treatment to ablate spontaneous brain tumors with pulsed electric fields in canine patients. The purpose of the study is to determine the Peleg-Fermi parameters needed to incorporate pulse number and pulse duration into the therapeutic planning of IRE. METHODS Seven canine patients were treated wit...

Link-based information structures such as the web can be enhanced through the addition of hotlinks. Assume that each node in the information structure is associated with a weight representing the access frequency of the node by users. In order to access a particular node, the user must follow a path leading to it from the root. By adding new hotlinks to the tree, it may be possible to reduce th...

Moisture sorption of dried overripe barlin banana powder using the static gravimetric method. The materials were conditioned at 5, 10, and 25 oC with a water activity range 0.16 to 0.86. Five mathematical models describe suitability phenomenon adsorption experimental data non-linear regression. thermodynamic properties such as isosteric heat Gibbs free energy are evaluated in this paper. result...

As an agroindustrial waste product, potato peels contain valuable phenolic compounds that can be extracted before they are sent to the landfill. Based on previous work, this study focused determining efficacies of compound extraction from using conventional shaking (CSE) and both direct ultrasound-assisted (DUAE), indirect (IUAE). The yield curve associated with each method was measured charact...