Children: Regular graphs
The Tutte 12-cage is a specific type of graph in the field of graph theory, named after the mathematician W.T. Tutte. It is notable for being a strongly regular graph with particular properties. ### Characteristics of the Tutte 12-Cage: 1. **Vertices and Edges**: It has 12 vertices and 30 edges.
The Tutte graph is a specific, well-known example of a cubic graph (3-regular graph) that is often studied in the field of graph theory. It has several interesting properties and characteristics: 1. **Vertices and Edges**: The Tutte graph has 46 vertices and 69 edges. It is one of the smallest cubic graphs that is not 3-colorable, meaning it cannot be colored with three colors without two adjacent vertices sharing the same color.
The Tutte–Coxeter graph is a well-known graph in the study of graph theory and combinatorics. It is a bipartite graph with some interesting properties and significance. Here are some key features of the Tutte–Coxeter graph: 1. **Vertices and Edges**: The Tutte–Coxeter graph consists of 12 vertices and 18 edges.
The Wagner graph is a specific type of undirected graph that is notable in the study of graph theory. It has 12 vertices and 30 edges, and it is characterized by being both cubic (each vertex has a degree of 3) and 3-regular. One of the most interesting properties of the Wagner graph is that it is a non-planar graph, meaning it cannot be drawn on a plane without edges crossing.
Watkins snark, also known as "watkins snark," typically refers to a specific type of mathematical problem or concept explored in various fields of combinatorics and graph theory. Unfortunately, there isn't a widely recognized definition for "Watkins snark"; it's possible that it could be a niche term or a recent development in a specialized area of mathematics.
In graph theory, a Wells graph is a specific type of graph that is defined based on the properties of certain combinatorial structures. Specifically, Wells graphs arise in the context of geometric representation of graphs and are related to the concept of unit distance graphs. A Wells graph is characterized by its degree of vertex connectivity and geometric properties, particularly in higher-dimensional spaces. It often finds applications in problems involving networking, combinatorial designs, and the study of geometric configurations.
A Wong graph is a specific type of directed graph that is used in graph theory, named after the mathematician David Wong who introduced it. The defining characteristic of a Wong graph is its ability to model certain kinds of dependency relations and interactions between nodes.