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As an important subtopic of image enhancement, color transfer aims to enhance the color scheme of a source image according to a reference one while preserving the semantic context. To implement color transfer, the palette-based color…

计算机视觉与模式识别 · 计算机科学 2024-05-15 Chenlei Lv , Dan Zhang

Using a notation of corner between edges when graph has a fixed rotation, i.e. cyclical order of edges around vertices, we define combinatorial objects - combinatorial maps as pairs of permutations, one for vertices and one for faces.…

组合数学 · 数学 2009-09-02 Dainis Zeps

Given a composite image with photographic object and painterly background, painterly image harmonization targets at stylizing the composite object to be compatible with the background. Despite the competitive performance of existing…

计算机视觉与模式识别 · 计算机科学 2023-12-19 Li Niu , Junyan Cao , Yan Hong , Liqing Zhang

A simple but empirically efficient heuristic algorithm for the edge-coloring of graphs is presented. Its basic idea is the displacement of "conflicts" (repeated colors in the edges incident to a vertex) along paths of adjacent vertices…

组合数学 · 数学 2012-10-19 M. A. Fiol , J. Vilaltella

Coloring games are combinatorial games where the players alternate painting uncolored vertices of a graph one of $k > 0$ colors. Each different ruleset specifies that game's coloring constraints. This paper investigates six impartial…

组合数学 · 数学 2012-02-28 Gabriel Beaulieu , Kyle Burke , Eric Duchêne

In this paper, we consider categories with colored morphisms and functors such that morphisms assigned to morphisms with a common color have a common color. In this paper, we construct a morphism-colored functor such that any…

范畴论 · 数学 2016-09-21 Yasuhide Numata

Colouring the vertices of a graph $G$ according to certain conditions can be considered as a random experiment and a discrete random variable $X$ can be defined as the number of vertices having a particular colour in the proper colouring of…

综合数学 · 数学 2017-08-17 K. P. Chithra , N. K. Sudev , S. Satheesh , K. A. Germina , Johan Kok

Given a graph $G=(V,E)$ and a proper vertex colouring of $G$, a Kempe chain is a subset of $V$ that induces a maximal connected subgraph of $G$ in which every vertex has one of two colours. To make a Kempe change is to obtain one colouring…

离散数学 · 计算机科学 2015-08-11 Carl Feghali , Matthew Johnson , Daniel Paulusma

A coloring of a planar semiregular tiling $\mathcal{T}$ is an assignment of a unique color to each tile of $\mathcal{T}$. If $G$ is the symmetry group of $\mathcal{T}$, we say that the coloring is perfect if every element of $G$ induces a…

组合数学 · 数学 2024-01-02 Manuel Joseph C. Loquias , Rovin B. Santos

A path in a vertex-colored graph is called a \emph{vertex-monochromatic path} if its internal vertices have the same color. A vertex-coloring of a graph is a \emph{monochromatic vertex-connection coloring} (\emph{MVC-coloring} for short),…

组合数学 · 数学 2015-04-01 Qingqiong Cai , Xueliang Li , Di Wu

Let $G$ be a graph with a vertex colouring $\alpha$. Let $a$ and $b$ be two colours. Then a connected component of the subgraph induced by those vertices coloured either $a$ or $b$ is known as a Kempe chain. A colouring of $G$ obtained from…

离散数学 · 计算机科学 2016-09-23 Marthe Bonamy , Nicolas Bousquet , Carl Feghali , Matthew Johnson

Color coding is an algorithmic technique used in parameterized complexity theory to detect "small" structures inside graphs. The idea is to derandomize algorithms that first randomly color a graph and then search for an easily-detectable,…

计算复杂性 · 计算机科学 2019-01-14 Max Bannach , Till Tantau

It is well known that any set of n intervals in $\mathbb{R}^1$ admits a non-monochromatic coloring with two colors and a conflict-free coloring with three colors. We investigate generalizations of this result to colorings of objects in more…

离散数学 · 计算机科学 2018-05-08 Boris Aronov , Mark de Berg , Aleksandar Markovic , Gerhard Woeginger

Pattern avoidance in the symmetric group $S_n$ has provided a number of useful connections between seemingly unrelated problems from stack-sorting to Schubert varieties. Recent work has generalized these results to $S_n\wr C_c$, the objects…

组合数学 · 数学 2011-08-15 Adam M. Goyt , Lara K. Pudwell

Color serves as a fundamental dimension of human visual perception and a primary means of communicating about objects and scenes. As vision-language models (VLMs) become increasingly prevalent, understanding whether they name colors like…

计算机视觉与模式识别 · 计算机科学 2025-09-29 Alexandra Gomez-Villa , Pablo Hernández-Cámara , Muhammad Atif Butt , Valero Laparra , Jesus Malo , Javier Vazquez-Corral

We propose a new technique for visual attribute transfer across images that may have very different appearance but have perceptually similar semantic structure. By visual attribute transfer, we mean transfer of visual information (such as…

计算机视觉与模式识别 · 计算机科学 2017-06-07 Jing Liao , Yuan Yao , Lu Yuan , Gang Hua , Sing Bing Kang

A proper coloring of vertices of a graph is equitable if the sizes of any two color classes differ by at most 1. Such colorings have many applications and are interesting by themselves. In this paper, we discuss the state of art and…

组合数学 · 数学 2025-04-22 H. A. Kierstead , Alexandr Kostochka , Zimu Xiang

For a proper vertex coloring $c$ of a graph $G$, let $\varphi_c(G)$ denote the maximum, over all induced subgraphs $H$ of $G$, the difference between the chromatic number $\chi(H)$ and the number of colors used by $c$ to color $H$. We…

A coloring of the vertices of a connected graph is convex if each color class induces a connected subgraph. We address the convex recoloring (CR) problem defined as follows. Given a graph $G$ and a coloring of its vertices, recolor a…

离散数学 · 计算机科学 2019-12-02 Manoel Campêlo , Phablo F. S. Moura , Joel C. Soares

A colored graph is a directed graph in which nodes or edges have been assigned colors that are not necessarily unique. Observability problems in such graphs consider whether an agent observing the colors of edges or nodes traversed on a…

机器学习 · 计算机科学 2019-12-18 Mark Chilenski , George Cybenko , Isaac Dekine , Piyush Kumar , Gil Raz