Different types of mappings for ordering of multivariate data are considered. The resulting orderings are then used to extend the rank conditioned rank selection (RCRS) filters such that they operate on multivariate data, such as color images. Experimental results and comparison of different ordering strategies are then presented.

Dominating -color number of a graph is defined as the maximum number of color classes which are dominating sets of and is denoted by d, where the maximum is taken over all -coloring of . In this paper, we discussed the dominating -color number of Generalized Petersen Graphs. We have also discussed the condition under which chromatic number equals dominating -color number of Generalized Pet...

We show that the lines of every arrangement of n lines in the plane can be colored with O( √ n/ log n) colors such that no face of the arrangement is monochromatic. This improves a bound of Bose et al. by a Θ( √ log n) factor. Any further improvement on this bound would also improve the best known lower bound on the following problem of Erdős: estimate the maximum number of points in general po...

In this study gender language differences in the written description of color were analyzed. The total number of words used, number of tertiary level terms used, and normative emotionality were assessed. Women were found to use more words to describe color than men. An interaction effect among gender and age was found for the number of tertiary level words used. A main effect of gender for tota...

We let G(n,m) denote the set of r-uniform hypergraphs with n vertices and m edges, and f (n,p,s) is the smallest m such that every member of G(n,m) contains a member of G(p,s). In this paper we are interested in fixed values r,p and s for which f (n,p,s) grows quadratically with n. A probabilistic construction of Brown, Erdős and T. Sós ([2]) implies that f (n,s(r−2)+2, s)=Ω(n). In the other di...

We prove a structure theorem for multiplicative functions on the Gaussian integers, showing that every bounded multiplicative function on the Gaussian integers can be decomposed into a term which is approximately periodic and another which has a small U3-Gowers uniformity norm. We apply this to prove partition regularity results over the Gaussian integers for certain equations involving quadrat...