Split (graph theory)
In graph theory, a **split graph** is a type of graph that can be partitioned into two disjoint sets of vertices: one set forms a clique (a complete subgraph where every pair of vertices is connected by an edge), and the other set forms an independent set (a set of vertices no two of which are adjacent).
The Northwest Atlantic Mid-Ocean Channel is a significant underwater feature located in the North Atlantic Ocean. It serves as a key pathway for ocean currents and influences the marine ecosystem in that region. The channel is characterized by its shape and depth, which can affect navigation and shipping routes. In terms of geological and oceanographic importance, the Northwest Atlantic Mid-Ocean Channel plays a role in connecting different oceanic regions, facilitating the movement of water masses, nutrients, and marine life.
Twin-width
Twin-width is a structural parameter in graph theory that is used to measure the complexity of a graph in terms of how it can be decomposed into simpler components. It is particularly useful for understanding certain classes of graphs and can provide insights into their properties and potential algorithmic approaches for solving problems on them. The concept of twin-width was introduced in a paper by Bui-Xuan, Dolecek, and Fomin in 2020.
K-tree
A K-tree (or K-ary tree) is a type of tree data structure in which each node can have at most K children. This means that each node can link to K different nodes or child nodes, making it suitable for various applications where a more extensive branching factor is desirable compared to binary trees (which have a maximum of two children per node).
Cograph
A **cograph** is a type of graph that can be defined as a graph without any induced subgraphs that are isomorphic to a path of four vertices (also known as a **P4**). In simpler terms, cographs can be constructed using two operations: the **disjoint union** and the **join** (or clique-sum) of two graphs.
OSTM/Jason-2
OSTM/Jason-2, or the Ocean Surface Topography Mission/ Jason-2, is a satellite designed to monitor ocean surface topography, which involves measuring the height of the ocean surface from space. Launched on June 20, 2008, Jason-2 is a partnership among NASA, the French space agency CNES, and the European Organization for the Exploitation of Meteorological Satellites (EUMETSAT).
Bipolar orientation
The term "bipolar orientation" typically refers to a sexual or romantic orientation characterized by attraction to individuals of two or more genders. However, it's important to clarify that the more commonly used term for this orientation is "bisexual." Bisexuality encompasses a range of experiences and identities, and individuals may identify as bisexual in different ways, reflecting their unique attractions and experiences.
Graph center
In graph theory, the **center** of a graph is a concept that refers to a specific set of vertices that minimize the maximum distance to all other vertices in the graph. In other words, the center of a graph consists of those vertices from which the farthest distance to any other vertex in the graph is minimized.
Induced path
The term "induced path" typically arises in various contexts, such as in mathematics, particularly in graph theory. In graph theory, an **induced path** refers to a specific kind of subgraph of a graph.
Power automorphism
A **power automorphism** is a concept from the field of group theory, a branch of mathematics. To understand it, we first need to define a few key terms: - **Automorphism**: An automorphism is a function from a mathematical structure to itself that preserves the structure's operations.
Von Neumann paradox
The Von Neumann paradox, also known as the "Von Neumann architecture paradox," is a concept in the field of game theory and economics, particularly in the context of decision-making and self-referential systems. However, there is another related concept often referred to as the "paradox of choice" in decision-making processes.
Nicholas Young (mathematician)
Nicholas Young is a mathematician known for his work in various areas of mathematics, particularly in the fields of representation theory and algebraic geometry. He has contributed to the understanding of the connection between algebraic structures and geometric concepts. Unfortunately, specific details about his contributions, academic position, or specific research achievements may not be widely available in public databases.
Perforation-based computational tools refer to a category of computational techniques and technologies that make use of "perforation" as a foundational concept. While the term might vary in meaning depending on the specific domain, it generally relates to methods that involve creating holes, gaps, or segments within a material or data set to achieve certain functionalities or efficiencies.
Albanian mathematicians
Albanian mathematicians have made significant contributions to various fields of mathematics throughout history, though they may not be as widely recognized as mathematicians from some other countries. Here are a few notable Albanian mathematicians and their contributions: 1. **Dritëro Agolli** - Though primarily known as a poet and writer, Agolli also had interests in mathematics and its educational aspects.
Ocean stratification
Ocean stratification refers to the layering that occurs within the ocean's water column due to variations in density, temperature, and salinity. These layers can significantly affect marine life, ocean currents, and climate regulation. The primary factors contributing to ocean stratification are: 1. **Temperature (Thermal Stratification)**: Warmer water is less dense than cooler water, leading to a temperature gradient.
Induced character
Induced characters refer to representations of a group that arise from the representation of a subgroup. In the context of representation theory—an area of mathematics that studies abstract algebraic structures through linear transformations—induced characters are a way to construct new representations of a group via a subgroup.
List of group theory topics
Group theory is a branch of mathematics that studies the algebraic structures known as groups. Below is a list of topics commonly covered in group theory: 1. **Basic Definitions** - Group (definition, binary operation) - Subgroup - Cosets (left and right) - Factor groups (quotient groups) - Order of a group - Order of an element 2.
Maria Wonenburger
Maria Wonenburger is a notable Spanish mathematician known for her work in the field of mathematics, particularly in the areas of algebra and geometry. She made significant contributions to the study of algebraic structures, particularly in relation to group theory and algebraic topology. Wonenburger's work has been influential in advancing mathematical knowledge and understanding in these areas. In addition to her research contributions, she has also been recognized for her efforts in promoting mathematics, especially encouraging women to pursue careers in the field.
Whitehead problem
The Whitehead problem is a classic question in the field of algebraic topology, specifically in the area of group theory relating to homotopy theory. Formulated by the mathematician J.H.C. Whitehead in the 1940s, the problem asks whether a certain type of homomorphism between two groups can be lifted to a homotopy equivalence.