A "map graph" typically refers to a graphical representation of geographical data where features, relationships, or various types of information are represented on a map. This term is often used in different contexts, including: 1. **Geographic Information Systems (GIS)**: Map graphs in GIS display spatial data, allowing users to visualize and analyze geographical relationships. These maps can represent various data types, like population density, weather patterns, or resource distribution.

In graph theory, a modular graph is a concept related to the idea of module or modularity in the context of substructures of a graph. The term "modular graph" can sometimes be used in discussions of modular decomposition, which is a technique for breaking down a graph into simpler components based on the concept of modules.

A **multipartite graph** is a specific type of graph used in graph theory, where the vertex set can be divided into multiple distinct subsets such that no two vertices within the same subset are adjacent. In other words, the edges of the graph only connect vertices from different subsets.

In graph theory, an **overfull graph** typically refers to a graph that exceeds certain constraints, most commonly in the context of the vertex degrees or edge counts relative to some theoretical upper bound. The exact definition can vary based on the specific situation or properties being studied.

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.

Anton Kotzig is a mathematician known for his contributions to various areas of mathematics, including graph theory, combinatorics, and topology. He is particularly noted for his work related to topological aspects of graphs and certain problems involving graph embeddings. His research has influenced both theoretical exploration and practical applications of mathematical concepts in these fields.

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.

It seems there might be some confusion or ambiguity regarding "Carolyn Mahoney." If you are referring to a specific person, it may not be widely recognized or documented in publicly available sources prior to my last update in October 2021. There may be individuals with that name in various fields such as politics, academia, or the arts, but without more context, it’s difficult to provide specific information.

Chris Godsil is an American mathematician known for his work in the fields of algebra, combinatorics, and quantum computing. He is particularly recognized for his contributions to graph theory and representation theory. Godsil has authored or co-authored numerous papers and has also been involved in teaching and mentoring students in these areas of mathematics.

The Cartesian product of two graphs \( G_1 = (V_1, E_1) \) and \( G_2 = (V_2, E_2) \) is a graph constructed by combining the vertices of the two graphs in a specific way.

The rooted product of graphs is a specific operation that combines two graphs in a way that preserves some structural properties of both.

Graph drawing is a field of computational geometry and computer science that focuses on the visualization of graphs, which are mathematical structures consisting of nodes (or vertices) connected by edges (or arcs). This area of study is concerned with developing algorithms and techniques to represent these graphs in a visually appealing and meaningful way, so that their structure and properties can be understood more easily.

Alfred Kempe (1935–2015) was an influential mathematician known primarily for his work in graph theory and combinatorics. He is perhaps best known for the Kempe Chains and the Kempe Conjecture, which are significant in the context of the Four Color Theorem, stating that any planar map can be colored with no more than four colors such that no two adjacent regions share the same color.

As of my last knowledge update in October 2021, Amanda Chetwynd is not a widely recognized public figure, and there may not be significant publicly available information about her. It's possible that she could be a private individual or a professional in a specific field that has not gained widespread recognition.

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.

Arthur Hobbs is a mathematician known for his work in the field of mathematics, particularly in areas related to analysis and topology. However, there might not be extensive widely available information on his specific contributions or biography, as he may not be as widely recognized as some other figures in the field.

As of my last knowledge update in October 2023, Dan Archdeacon does not appear to be a widely recognized public figure, author, or concept in popular culture or academic fields. It is possible that he is a private individual, a professional in a specific field, or a less prominent public figure that has not gained significant attention.

"Daniel Kráľ" could refer to a person, as it's a common name in some Slavic countries, particularly in Slovakia and the Czech Republic. However, without additional context, it is difficult to pinpoint exactly who or what you might be referring to. In general, "Daniel" is a common first name, and "Kráľ" translates to "king" in Slovak and Czech.