Rankine is a microarchitecture developed by AMD, and it's part of the company's design for its graphics processing units (GPUs). Specifically, it was used in the AMD Radeon RX 6000 series, which was introduced in late 2020. The Rankine microarchitecture is known for leveraging advanced technologies, such as ray tracing and variable rate shading, to enhance the performance and visual quality of gaming and graphical applications.

Flipped SU(5) is a theoretical framework in particle physics that extends the Standard Model by proposing a Grand Unified Theory (GUT). It is based on the idea of unifying the three fundamental forces of the Standard Model (electromagnetic, weak, and strong interactions) under a larger symmetry group, SU(5), which is a symmetry group that contains the gauge groups of the Standard Model.

The Bianconi–Barabási model is a network growth model that extends the classic Barabási-Albert (BA) model, which is well-known for generating scale-free networks through a process of preferential attachment. The Bianconi–Barabási model incorporates the idea of a node's fitness, which influences its probability of being connected to new nodes, thereby allowing for a more diverse set of growth mechanisms in network formation.

Perfect graphs are a special class of graphs in combinatorial optimization and graph theory. A graph \( G \) is called perfect if for every induced subgraph \( H \) of \( G \), the size of the largest clique in \( H \) (denoted as \( \omega(H) \)) is equal to the size of the smallest vertex coloring of \( H \) (denoted as \( \chi(H) \)).

In computer science, particularly in the context of artificial intelligence and search algorithms, a **goal node** refers to a specific state or condition in a graph or search space that signifies the completion of a problem or a successful solution to a task. It is part of a broader framework often used in algorithms for pathfinding, problem solving, and decision-making processes.

Double pushout (DPO) graph rewriting is a formalism used in the area of algebraic graph rewriting. It provides a conceptual and mathematical framework for modifying graphs by specifying how certain subgraphs can be replaced with new structures. DPO rewriting closely relates to category theory, specifically the notion of pushout constructions in category theory, which allows for defining the conditions under which certain graph transformations can be made.

Force-directed graph drawing is a technique used to visualize graphs in a way that aims to position the vertices (nodes) of the graph in two-dimensional or three-dimensional space. The goal of this method is to create a visually appealing and easy-to-understand representation of the graph, where the edges (connections between nodes) are depicted as springs and the nodes themselves are treated as physical objects that repel or attract each other.

Fringe search is a graph search technique used in artificial intelligence and computer science, particularly in the context of search algorithms for problem-solving. It is closely related to other search methods like breadth-first search and depth-first search, but it has its own distinctive approach to exploring the search space.

The Girvan-Newman algorithm is a method used in network theory for detecting communities within a graph. It was developed by Michelle Girvan and Mark Newman in 2002. The algorithm identifies and extracts the community structure of a network by progressively removing edges based on the concept of edge betweenness, which measures the number of shortest paths that pass through an edge.

Hall-type theorems for hypergraphs are generalizations of Hall's Marriage Theorem, which originally deals with bipartite graphs. Hall's theorem states that a perfect matching exists in a bipartite graph if and only if for every subset of vertices in one part, the number of neighbors in the other part is at least as large as the size of the subset.

The Misra and Gries edge coloring algorithm is a well-known algorithm used for coloring the edges of a graph. Edge coloring involves assigning colors to the edges of a graph such that no two edges that share a common vertex have the same color. This concept is important in various applications, including scheduling, resource allocation, and frequency assignment. The algorithm was developed by J. Misra and D. Gries, and it is particularly noted for its efficiency.

The Gyárfás–Sumner conjecture is a conjecture in graph theory proposed by László Gyárfás and David Sumner in the 1980s. It deals with the properties of graphs concerning trees and their subgraphs.

SMA* (Simplified Memory-Based A*) is an algorithm used in artificial intelligence, particularly in the field of search and pathfinding. It's a variant of the A* algorithm designed to handle problems with large memory requirements by using a simplified approach to manage and simplify the search space. The main idea behind SMA* is to keep track of the best paths while enforcing a limit on the memory used.

As of my last knowledge update in October 2021, there isn't a widely recognized figure or concept called "Alison Marr." It's possible that it could refer to a private individual, a local business, or something that has emerged after that date.

The Traveling Salesman Problem (TSP) is a classic optimization problem in combinatorial optimization and operations research. It can be described as follows: A salesman needs to visit a set of cities exactly once and then return to the original city. The objective is to find the shortest possible route that allows the salesman to visit each city once and return to the starting point. The problem is typically represented as a graph, where cities are nodes and edges represent the distances (or costs) between them.

List edge-coloring is a variation of the standard edge-coloring problem in graph theory, where each edge of a graph has a list of allowable colors from which it can be colored. The objective in list edge-coloring is to assign colors to the edges of the graph in such a way that: 1. No two adjacent edges (i.e., edges that share a common vertex) have the same color. 2. Each edge is colored using a color from its own list of allowable colors.

A Wiener connector, or Wiener filtering, is a statistical technique used in signal processing and various fields such as telecommunications, image processing, and control systems. It is designed to optimally filter a noisy signal to recover the original signal. The basic idea is to minimize the mean square error between the estimated signal and the true signal. The Wiener filter operates in the frequency domain and is particularly effective when the noise properties are known and the signal is stationary.

A uniquely colorable graph is a type of graph in graph theory that can be colored in such a way that there is only one valid coloring that satisfies a given set of constraints. Specifically, a graph is uniquely colorable if there is a proper vertex coloring (where no two adjacent vertices share the same color) that can be achieved using a specific set of colors, and there are no other configurations that yield a valid coloring with the same constraints.

The Earth–Moon problem refers to the study of the dynamical system that describes the gravitational interactions between the Earth and the Moon. This problem is part of celestial mechanics, which deals with the motion of celestial bodies under the influence of gravitational forces. In the context of the Earth-Moon problem, the main focus is on understanding the orbital characteristics, such as the Moon's orbit around the Earth, the variations in this orbit, and how gravitational interactions affect both bodies.

A **Kempe chain** is a concept used in the context of graph theory, specifically in the study of coloring problems and algorithms for graph coloring. Named after the mathematician J. H. Kempe, Kempe chains are useful in various applications, including the proof of the four-color theorem and in designing efficient algorithms for graph coloring. ### Definition A Kempe chain is defined as a connected sequence of vertices that alternate between two colors in a proper vertex coloring of a graph.