一种结构性方法,以优雅的色彩树的子类的树木
1Vellore Institute of Technology, Chennai, Tamil Nadu, India.
Heliyon
|October 9, 2023
概括
这项研究为图形引入了优雅的m-coloring,证明了树的特定边界. 它对树进行了分类,并为优雅的m-coloring提供了色彩算法.
科学领域:
- 图形理论 图形理论
- 离散的数学 离散的数学
- 组合学是一种组合学.
背景情况:
- 介绍了优雅的m-coloring概念,用于简单的图形.
- 定义了优雅的m-coloring作为一个顶点着色,它会根据颜色差异诱导适当的边缘着色.
研究的目的:
- 为了确定树木的优雅色号.
- 根据其优雅的m-coloring特性对树木进行分类.
- 为优雅的m-coloring开发一个彩色算法.
主要方法:
- 引入了优雅的m-coloring的新定义.
- 证明了树木优雅的色彩数量的特定上限.
- 开发了树木分类的特征.
主要成果:
- 确定具有n个顶点的树T的优雅色号最多为n.
- 根据其优雅的m-coloring特征将树木分为三种不同的类型.
- 介绍了一种新的算法,可以在这些分类树上实现优雅的m-coloring.
结论:
- 这项研究在理解优雅的m-coloring方面取得了重大进展.
- 特性和算法为树木应用优雅的m-coloring提供了实用工具.
- 进一步的研究可以在其他图形类上探索优雅的m-coloring.
相关概念视频
Phylogenetic Trees
45.4K
Phylogenetic trees come in many forms. It matters in which sequence the organisms are arranged from the bottom to the top of the tree, but the branches can rotate at their nodes without altering the information. The lines connecting individual nodes can be straight, angled, or even curved.
45.4K
Fixation and Sectioning
4.4K
Two basic types of preparation are used to visualize specimens with a light microscope: wet mounts and fixed specimens.
The simplest type of preparation is the wet mount, in which the specimen is placed in a drop of liquid on the slide. A liquid specimen can be directly deposited on the slide using a dropper. Solid specimens, such as skin scraping, can be placed on the slide before adding a drop of liquid to prepare the wet mount. Sometimes the liquid is simply water, but stains are often added...
The simplest type of preparation is the wet mount, in which the specimen is placed in a drop of liquid on the slide. A liquid specimen can be directly deposited on the slide using a dropper. Solid specimens, such as skin scraping, can be placed on the slide before adding a drop of liquid to prepare the wet mount. Sometimes the liquid is simply water, but stains are often added...
4.4K
Incomplete Dominance
22.7K
Gregor Mendel's work (1822 - 1884) was primarily focused on pea plants. Through his initial experiments, he determined that every gene in a diploid cell has two variants called alleles inherited from each parent. He suggested that amongst these two alleles, one allele is dominant in character and the other recessive. The combination of alleles determines the phenotype of a gene in an organism.
22.7K
Kirchoff's Rules: Application
1.6K
Kirchhoff's rules quantify the current flowing through a circuit and the voltage variations around the loop in a circuit. Applying Kirchhoff's rules generates a set of linear equations that allow us to find the unknown values in circuits. These may be currents, voltages, or resistances.
When applying Kirchhoff's first rule, the junction rule, label the current in each branch and decide its direction. If the chosen direction is wrong, it will have the correct magnitude, although the...
When applying Kirchhoff's first rule, the junction rule, label the current in each branch and decide its direction. If the chosen direction is wrong, it will have the correct magnitude, although the...
1.6K
Structural Classification of Joints
3.5K
Joints, also known as articulations, are classified based on their structural characteristics, i.e., based on whether the articulating surfaces of the adjacent bones are directly connected by fibrous connective tissue or cartilage, or whether the articulating surfaces contact each other within a fluid-filled joint cavity. These differences serve to divide the joints of the body into three structural classifications.
A fibrous joint is where the adjacent bones are united by fibrous connective...
A fibrous joint is where the adjacent bones are united by fibrous connective...
3.5K
Inheritance
403
Gregor Mendel's pioneering work on the principles of inheritance fundamentally transformed our understanding of how traits are transmitted from generation to generation. His experiments with pea plants laid the groundwork for the discovery of genes, discrete units within organisms that control heredity.
Each gene exists in pairs, and the combination of these genes from both parents forms an individual's genotype. This genotype is a blueprint of potential traits. Examples of genotype...
Each gene exists in pairs, and the combination of these genes from both parents forms an individual's genotype. This genotype is a blueprint of potential traits. Examples of genotype...
403


