let $g$ be a simple graph of order $n$. the domination polynomial of $g$ is the polynomial $d(g, x)=sum_{i=gamma(g)}^{n} d(g,i) x^{i}$, where $d(g,i)$ is the number of dominating sets of $g$ of size $i$ and $gamma(g)$ is the domination number of $g$. in this paper we present some families of graphs whose domination polynomials are unimodal.

We prove a number of limiting distributions for statistics unimodal sequences positive integers by adapting probabilistic framework integer partitions introduced Fristedt. The difficulty in applying the direct analogue Fristedt's techniques to lies fact that generating function is an infinite product, while not. Essentially, we get around this conditioning on size largest part and working unifo...

Most thresholding algorithms have difficulties processing images with unimodal distributions. In this paper an algorithm, based on finding a corner in the histogram plot, is proposed that is capable of performing bilevel thresholding of such images. Its effectiveness is demonstrated on synthetic data as well as a variety of real data, showing its successful application to edges, corners, differ...

This paper deals with optimal learning and provides a uniied viewpoint of most signiicant results in the eld. The focus is on the problem of local minima in the cost function that is likely to aaect more or less any learning algorithm. We give some intriguing links between optimal learning and the computational complexity of loading problems. We exhibit a computational model such that the solut...