Cell responses to drifting Cartesian (parallel) and non-Cartesian (concentric, radial, and hyperbolic) stimuli were recorded in and beyond the classical receptive field (CRF) in the lateral geniculate nucleus (LGN), V1, and V2 of anesthetized monkeys. Many cells were equally responsive to Cartesian and non-Cartesian, especially concentric, gratings. Around 15% of cells in each area were signifi...

the broadcast domination number of the cartesian product of two cycles is completely determined.

a modular $k$-coloring, $kge 2,$ of a graph $g$ without isolated vertices is a coloring of the vertices of $g$ with the elements in $mathbb{z}_k$ having the property that for every two adjacent vertices of $g,$ the sums of the colors of the neighbors are different in $mathbb{z}_k.$ the minimum $k$ for which $g$ has a modular $k-$coloring is the modular chromatic number of $g.$ except for some s...

We use the complete Segal approach to theory of Cartesian fibrations define and study representable fibrations, generalizing right which have played a key role in $\infty$-category theory. In particular, we give construction using over-categories prove Yoneda lemma for fibration, generalizes established fibrations. We then objects internal an $\infty$-category. Concretely, {\it fundamental th...