{wiki=Antiprism_graph}

An antiprism graph is a geometric representation of a three-dimensional shape known as an antiprism. An antiprism is a polyhedron characterized by having two parallel polygonal bases connected by a band of triangular faces. The most common type of antiprism is the regular antiprism, where the bases are congruent regular polygons and the triangular faces are also isosceles triangles. In graph theory, the antiprism graph can be represented as a bipartite graph.


Antiprism graph

{wiki=Frankl–Rödl_graph}

The Frankl–Rödl graph is a specific type of undirected graph that is characterized by certain properties and can be defined based on combinatorial structures. It is named after mathematicians Victor Frankl and Hans rödl, who studied properties related to graph theory and combinatorics.


Frankl–Rödl graph

{wiki=Ljubljana_graph}

The Ljubljana graph is a specialized graph in the field of graph theory. Specifically, it is a certain type of cubic (or 3-regular) graph, meaning that each vertex has exactly three edges connected to it. The Ljubljana graph is defined by a specific arrangement of vertices and edges, and it has some interesting properties, including being a distance-regular graph. It can be characterized by its vertex set and its connections, which lead to various applications in combinatorial designs and network theory.


Ljubljana graph

{wiki=McKay–Miller–Širáň_graph}

The McKay–Miller–Širáň graph is a notable bipartite graph that is specifically defined for its unique properties. It is a strongly regular graph, characterized as a (0, 1)-matrix representation. Key properties of this graph include: 1. **Vertex Count**: It has a total of 50 vertices. 2. **Regularity**: Each vertex connects to exactly 22 other vertices.


McKay–Miller–Širáň graph

{wiki=McLaughlin_graph}

The McLaughlin graph is a particular type of graph in the field of graph theory. It is an undirected graph that has some interesting properties and is often studied in relation to cliques, colorings, and various other graph properties. Here are some key characteristics of the McLaughlin graph: 1. **Vertices and Edges**: The McLaughlin graph has 12 vertices and 30 edges.


McLaughlin graph

{wiki=Meringer_graph}

A Meringer graph is a specific type of mathematical graph that is known for its unique properties related to vertex connectivity. The Meringer graphs are typically constructed using certain combinatorial techniques and can serve as examples in graph theory studies. One of the notable features of Meringer graphs is that they can be used to demonstrate various aspects of connectivity, cycles, and other graph properties.


Meringer graph

{wiki=Möbius–Kantor_graph}

The Möbius–Kantor graph is a specific type of graph that arises in the context of projective geometry and has interesting combinatorial properties. It can be described as follows: 1. **Vertices**: The Möbius–Kantor graph has 12 vertices. These can be thought of as corresponding to the 12 lines of the projective plane over the field with two elements.


Möbius–Kantor graph

{wiki=Nauru_graph}

The Nauru graph is a specific type of graph in the field of graph theory. It is notably characterized as a **strongly regular graph**, which means it has a certain degree of regularity in its structure.


Nauru graph

{wiki=Null_graph}

A **null graph** (also known as the **empty graph**) is a type of graph in graph theory that contains no vertices and therefore no edges. In other words, it is a graph that has no points or connections between them. Alternatively, when talking about a more general context in graphs that do involve vertices, a null graph can also refer to a graph that has vertices but no edges connecting any of them.


Null graph

{wiki=Paley_graph}

A Paley graph is a specific type of mathematical graph that is constructed from a finite field. It is named after the mathematician Arthur Paley. Paley graphs are particularly interesting in the fields of combinatorics and number theory, and they have applications in areas such as coding theory and the design of networks. \#\#\# Construction of Paley Graphs 1.


Paley graph

{wiki=Perkel_graph}

A Perkel graph is a special type of graph used in the study of graph theory and combinatorial designs. It is defined based on a recursive structure. Specifically, a Perkel graph is constructed from an initial set of vertices and uses certain rules to add edges based on the properties of those vertices.


Perkel graph

{wiki=Petersen_graph}

The Petersen graph is a well-known and important object in the field of graph theory. It is a specific undirected graph that has several interesting properties. Here are some key features of the Petersen graph: 1. **Vertices and Edges**: The Petersen graph consists of 10 vertices and 15 edges.


Petersen graph

{wiki=Prism_graph}

A Prism graph is a type of polyhedral graph formed by connecting the corresponding vertices of two parallel polytopes, typically two identical polygons. More formally, the prism over a polygon \\( P \\) can be defined as follows: 1. **Vertices**: The Prism graph has two sets of vertices, each corresponding to the vertices of the polygon \\( P \\). If \\( P \\) has \\( n \\) vertices, then the Prism graph will have \\( 2n \\) vertices.


Prism graph

{wiki=Cameron_graph}

A Cameron graph is a specific type of graph that arises in combinatorics, particularly in the context of certain problems in graph theory and design theory. However, the term "Cameron graph" is not widely recognized in mathematical literature as a standard concept. It is possible that it refers to a specific graph or class of graphs studied by mathematicians like R. C. Cameron, who has made contributions to combinatorial designs and related areas.


Cameron graph

{wiki=Circulant_graph}

A **circulant graph** is a specific type of graph that generalizes the concept of cyclic graphs. It is defined using a description based on its vertex set and a set of connections (edges) determined by a set of step sizes.


Circulant graph

{wiki=Circular_coloring}

Circular coloring is a concept in graph theory, specifically in the area of graph coloring. Unlike traditional graph coloring, where vertices of a graph are colored such that no two adjacent vertices share the same color, circular coloring allows for a more flexible coloring scheme: instead of using discrete colors, it uses a continuous spectrum of colors represented on a circle. In circular coloring, each vertex is assigned a position on the circumference of a circle, which corresponds to a color on a continuous scale.


Circular coloring

{wiki=Clebsch_graph}

The Clebsch graph is a specific type of graph in graph theory, notable for its unique mathematical properties. It has 16 vertices and 40 edges. The Clebsch graph can be described as a regular graph, meaning that each vertex has the same degree; specifically, each vertex in the Clebsch graph has a degree of 5.


Clebsch graph

{wiki=Coxeter_graph}

The Coxeter graph is an important concept in the fields of algebra, geometry, and graph theory. Specifically, it is a particular type of graph that represents the symmetric group and the properties of certain mathematical structures, particularly in relation to Coxeter groups. Here are some key features of the Coxeter graph: 1. **Definition and Structure**: The Coxeter graph is a finite undirected graph with 12 vertices and 18 edges.


Coxeter graph

{wiki=Cube-connected_cycles}

Cube-connected cycles (CCC) is a network topology used in parallel computing and interconnecting processing elements. It is a hybrid structure that combines features of both the hypercube network and cyclical connections. The primary purpose of CCC is to facilitate efficient communication between multiple processors in a system, making it suitable for parallel processing and distributed computing environments.


Cube-connected cycles

{wiki=Cubic_graph}

A **cubic graph**, also known as a **3-regular graph**, is a type of graph in which every vertex has a degree of exactly three. This means that each vertex is connected to exactly three edges. Cubic graphs are an important class of graphs in graph theory and have various applications in computer science, network design, and combinatorial optimization. \#\#\# Properties of Cubic Graphs: 1. **Degree**: Each vertex has a degree of 3.


Wikipedia Bot @wikibot 0