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It is proved that 1) the indicator function of some onefold or multifold independent set in a regular graph is a perfect coloring if and only if the set attain the Delsarte--Hoffman bound; 2) each transversal in a uniform regular hypergraph…

组合数学 · 数学 2024-03-06 V. N. Potapov , S. V. Avgustinovich

In this paper, we study orthogonal colourings of random geometric graphs. Two colourings of a graph are orthogonal if they have the property that when two vertices receive the same colour in one colouring, then those vertices receive…

组合数学 · 数学 2023-03-16 Jeannette Janssen , Kyle MacKeigan

We introduce the concept of a fiber bundle color space, which acts according to the psychophysiological rules of trichromacy perception of colors by a human. The image resides in the fiber bundle base space and the fiber color space…

图形学 · 计算机科学 2022-04-05 A. A. Snarskii , I. V. Bezsudnov

In this paper, we give a general framework for the Boltzmann generation of colored objects belonging to combinatorial constructible classes. We propose an intuitive notion called profiled objects which allows the sampling of size-colored…

离散数学 · 计算机科学 2009-11-17 Olivier Bodini , Alice Jacquot

\noindent In our contribution to this volume we deal with \emph{discrete} symmetries: these are symmetries based upon groups with a discrete set of elements (generally a set of elements that can be enumerated by the positive integers). In…

量子物理 · 物理学 2007-05-23 S. R. D. French , D. P. Rickles

It is argued that a dual symmetry is needed to naturally explain experimental limits on color confinement. Since color is an exact symmetry the only possibility is that this symmetry be a dual symmetry, related to non trivial spatial…

高能物理 - 格点 · 物理学 2008-09-16 A. Di Giacomo

One method to obtain a proper vertex coloring of graphs using a reasonable number of colors is to start from any arbitrary proper coloring and then repeat some local re-coloring techniques to reduce the number of color classes. The Grundy…

离散数学 · 计算机科学 2024-03-05 Manouchehr Zaker

A symmetrical model of color vision, the decoding model as a new version of zone model, was introduced. The model adopts new continuous-valued logic and works in a way very similar to the way a 3-8 decoder in a numerical circuit works. By…

计算机视觉与模式识别 · 计算机科学 2011-01-13 Chenguang Lu

Arslan, Altoum, and Zaarour introduced an inversion statistic for generalized symmetric groups. In this work, we study the distribution of this statistic over colored permutations, including derangements and involutions. By establishing a…

组合数学 · 数学 2025-05-06 Moussa Ahmia , José L. Ramírez , Diego Villamizar

A well-studied concept is that of the total chromatic number. A proper total colouring of a graph is a colouring of both vertices and edges so that every pair of adjacent vertices receive different colours, every pair of adjacent edges…

组合数学 · 数学 2010-09-14 Tom Coker , Karen Johannson

Image colorization is the process of colorizing grayscale images or recoloring an already-color image. This image manipulation can be used for grayscale satellite, medical and historical images making them more expressive. With the help of…

计算机视觉与模式识别 · 计算机科学 2023-09-27 Ahmed Samir Ragab , Shereen Aly Taie , Howida Youssry Abdelnaby

Advances in multimodal characterization methods fuel a generation of increasing immense hyper-dimensional datasets. Color mapping is employed for conveying higher dimensional data in two-dimensional (2D) representations for human…

人机交互 · 计算机科学 2020-02-28 M. J. Waters , J. M. Walker , C. T. Nelson , D. Joester , J. M. Rondinelli

This note presents an extension to the neural artistic style transfer algorithm (Gatys et al.). The original algorithm transforms an image to have the style of another given image. For example, a photograph can be transformed to have the…

计算机视觉与模式识别 · 计算机科学 2016-06-21 Leon A. Gatys , Matthias Bethge , Aaron Hertzmann , Eli Shechtman

Color transfer between images uses the statistics information of image effectively. We present a novel approach of local color transfer between images based on the simple statistics and locally linear embedding. A sketching interface is…

计算机视觉与模式识别 · 计算机科学 2016-12-30 Asad Khan , Luo Jiang , Wei Li , Ligang Liu

In trichromats, color vision entails the projection of an infinite-dimensional space (the one containing all possible electromagnetic power spectra) onto the 3-dimensional space that modulates the activity of the three types of cones. This…

神经元与认知 · 定量生物学 2021-05-04 María da Fonseca , Inés Samengo

Modeling subtractive color mixture (e.g., the way that paints mix) is difficult when working with colors described only by three-dimensional color space values, such as RGB. Although RGB values are sufficient to describe a specific color…

图形学 · 计算机科学 2017-10-18 Scott Allen Burns

We explain how deformation theories of geometric objects such as complex structures, Poisson structures and holomorphic bundle structures lead to differential Gerstenhaber or Poisson algebras. We use homological perturbation theory to…

微分几何 · 数学 2007-05-23 Jian Zhou

Graph Coloring consists in assigning colors to vertices ensuring that two adjacent vertices do not have the same color. In dynamic graphs, this notion is not well defined, as we need to decide if different colors for adjacent vertices must…

离散数学 · 计算机科学 2025-05-16 Allen Ibiapina , Minh Hang Nguyen , Mikaël Rabie , Cléophée Robin

Image vectorization is a process to convert a raster image into a scalable vector graphic format. Objective is to effectively remove the pixelization effect while representing boundaries of image by scaleable parameterized curves. We…

计算机视觉与模式识别 · 计算机科学 2024-09-11 Ho Law , Sung Ha Kang

Generalizing Reiner's notion of set partitions of type $B_n$, we define colored $B_n$-partitions by coloring the elements in and not in the zero-block respectively. Considering the generating function of colored $B_n$-partitions, we get the…

组合数学 · 数学 2015-01-06 David G. L. Wang