Two variations of the McEliece cryptosystem are presented. The first one is based on a relaxation of the column permutation in the classical McEliece…

Autostackability for finitely generated groups is defined via a topological property of the associated Cayley graph which can be encoded in a finite …

We introduce a topological property for finitely generated groups called stackable that implies the existence of an inductive procedure for construct…

Nested codes have been employed in a large number of communication applications as a specific case of superposition codes, for example to implement b…

We introduce a combinatorial property for finitely generated groups called stackable that implies the existence of an inductive procedure for constru…

We introduce a new class of semigroups arising from a restricted class of asynchronous automata. We call these semigroups "expanding automaton semigr…

We show that there is a knot satisfying the property that for each minimal crossing number diagram of the knot and each single crossing of the diagra…

We introduce here a nonlocal operator as a natural generalization to the biharmonic operator that appears in plate theory. This operator is built in …

We address semigroup well-posedness for a linear, compressible viscous fluid interacting at its boundary with an elastic plate. We derive the model b…

We study the 4-move invariant \crl\ for links in the 3-sphere developed by Dabkowski and Sahi, which is defined as a quotient of the fundamental grou…

Define f(n,p) to be the maximum number of edges in a graph on n vertices with p perfect matchings. Dudek and Schmitt proved there exist constants n_p…

For $m, n\in \N$, the fractional power $\Gmn$ of a graph $G$ is the $m$th power of the $n$-subdivision of $G$, where the $n$-subdivision is obtained …

Tomova, along with results of Bachman and Schleimer, showed that any high distance knot has a stair-step bridge spectrum. In this paper, we compute t…

Given a graph G, its triangular line graph is the graph T(G) with vertex set consisting of the edges of G and adjacencies between edges that are inci…

This work was done while the authors were at MSRI. We thank the organizers of the special year in commutative algebra and the rest of the personnel at MSRI for making this possible. All of the examples and resolutions in this paper were computing wi…

Let $K$ be an algebraically closed field. There has been much interest in characterizing multiple structures in $\P^n_K$ defined on a linear subspace…

In this paper we construct a mathematical model for excitable membranes by introducing circuit characteristics for ion pump, ion current activation, …

Advertising is a crucial component of marketing and an important way for companies to raise awareness of goods and services in the marketplace. Adver…

In this article we show that the Baumslag-Solitar group $BS(1,2)$ is minimally almost convex, or $MAC$. We also show that $BS(1,2)$ does not satisfy …

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