A **split graph** is a type of graph in which the vertex set can be partitioned into two disjoint subsets: one subset forms a complete graph (often called the **clique**) and the other subset forms an independent set (meaning no two vertices in this subset have an edge between them). To summarize: - **Clique**: A subset of vertices such that every two vertices in this subset are connected by an edge.
A list of graphs categorized by their number of edges and vertices typically refers to a classification of various types of graphs based on the relationships and connections they contain. Here are some common types of graphs organized by their number of vertices (V) and edges (E): 1. **Simple Graphs**: - **Complete Graph (K_n)**: A graph in which there is an edge between every pair of distinct vertices.
A locally linear graph refers to a concept in data analysis and geometry, particularly in the context of manifold learning and dimensionality reduction. In simpler terms, it is a type of graphical representation that exhibits linear characteristics within small neighborhoods or regions, even if the overall structure of the data is nonlinear.
The Lévy family of graphs is a concept in the field of probability theory and statistics, particularly in the context of Lévy processes. A Lévy process is a type of stochastic process that generalizes random walks and is characterized by stationary increments and continuity in probability. In particular, the Lévy family of graphs refers to the collection of parametric forms that describe the characteristic functions (or Laplace transforms) of Lévy processes.
Panconnectivity refers to the concept of a highly interconnected and integrated network or system, where multiple devices, systems, or networks are seamlessly linked together. This idea is particularly relevant in the context of the Internet of Things (IoT), smart cities, and advanced communication technologies. In a panconnectivity environment, various technologies such as broadband internet, wireless communication, and sensor networks are utilized to promote interoperability among devices and services.
A **strangulated graph** is a concept in graph theory that refers to a specific type of graph structure characterized by certain properties that relate to connectivity and edge restrictions. In particular, a graph is said to be strangulated if it has a partitioning of its vertex set into two subsets such that all vertices in one subset have a fixed degree (typically a very low degree) while vertices in the other subset have a much higher degree.
A threshold graph is a specific type of directed graph used in mathematics and computer science, particularly in the study of networks, social networks, and combinatorial optimization. It has a particular structure characterized by certain properties: 1. **Vertex Set**: A threshold graph is defined on a finite set of vertices. 2. **Edge Set**: The edges in a threshold graph are determined by a threshold value.
Andries Brouwer is a Dutch mathematician known for his work in several areas of mathematics, particularly in topology, combinatorics, and algebraic geometry. He has contributed to the fields of fixed point theory and the study of topological spaces. Brouwer is also recognized for his work on Brouwer's fixed-point theorem, which states that any continuous function mapping a compact convex set to itself has at least one fixed point.
Anthony Hilton could refer to a few different things, but he is primarily known as a British journalist and commentator, particularly recognized for his work in financial journalism. He has written extensively about economics, business, and finance, contributing to various newspapers and media outlets.
Ortrud Oellermann is not widely recognized in mainstream sources or common knowledge as of my last update in October 2023. If you are referring to a particular individual, character, or concept, please provide more context or clarify your question so I can assist you better. It’s possible that Ortrud Oellermann could be a private individual, a character from a specific work, or a recent public figure who has gained prominence after my last training cut-off.
Douglas West is a mathematician known for his contributions to graph theory, a branch of mathematics focused on the study of graphs, which are mathematical structures used to model pairwise relationships between objects. He has made significant contributions to various areas within graph theory, including concepts like connectivity, coloring, and graph algorithms. West is also noted for his work as an educator and author, particularly through his textbook "Introduction to Graph Theory," which is widely used in academic courses on the subject.
"S. B. Rao" could refer to a variety of individuals depending on the context, as it is a relatively common name in India and potentially other regions. Without additional context, such as the field (e.g., academia, politics, science) or a more specific reference, it is difficult to provide a precise answer.
As of my last update in October 2021, there doesn't appear to be notable information or widespread recognition for an individual or entity named "Maria Hasse." It's possible that she could be a private individual, a fictional character, or a new figure who has emerged since my last update.
Jenny McNulty is a stand-up comedian, writer, and actress, known for her work in the LGBTQ+ community. She has performed in various comedy clubs, festivals, and events, often drawing on her own experiences and perspectives. In addition to her stand-up work, McNulty has been involved in web series and other media projects. She is recognized for her humor, engaging personality, and contributions to queer comedy.
Jin Akiyama is a Japanese title that refers to a character in the popular video game series "Yakuza" (known as "Ryū ga Gotoku" in Japan). Jin Akiyama is a key figure in "Yakuza 4," where he is introduced as one of the playable characters. He is known for his unique backstory as a loan shark and his character development throughout the game.
Lothar Collatz is a mathematician known for formulating the Collatz conjecture, which is a famous unsolved problem in mathematics. The conjecture involves a simple iterative sequence defined as follows: 1. Start with any positive integer \(n\). 2. If \(n\) is even, divide it by 2. 3. If \(n\) is odd, multiply it by 3 and add 1. 4. Repeat the process with the resulting number.
Maria Deijfen is not widely recognized in popular culture or significant historical events, and there may not be much information available about her in publicly accessible sources. It is possible that she is a private individual or a figure in a specific niche or community.
As of my last knowledge update in October 2023, there is no widely recognized figure by the name of Mehdi Behzad in popular culture, politics, or other well-known domains. It is possible that Mehdi Behzad could refer to a private individual, a lesser-known public figure, or a fictional character.
As of my last knowledge update in October 2023, Mirka Miller is not a widely recognized public figure, brand, or term. It's possible that Mirka Miller could refer to an individual or a topic that may have gained prominence after that date or is not commonly known.
Aerographene is an extremely lightweight material that is often referred to as the world's lightest solid. It is a type of aerogel made primarily from graphene, which is a single layer of carbon atoms arranged in a two-dimensional honeycomb lattice. The material is characterized by its low density, high surface area, and excellent electrical conductivity. Aerographene is created through a process that typically involves the removal of liquid from a graphene oxide gel.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact