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  2. Wheel graph - Wikipedia

    en.wikipedia.org/wiki/Wheel_graph

    Wheel graph. In the mathematical discipline of graph theory, a wheel graph is a graph formed by connecting a single universal vertex to all vertices of a cycle. A wheel graph with n vertices can also be defined as the 1- skeleton of an (n – 1)-gonal pyramid. Some authors [1] write Wn to denote a wheel graph with n vertices (n ≥ 4); other ...

  3. Wheel theory - Wikipedia

    en.wikipedia.org/wiki/Wheel_theory

    Wheel theory. A diagram of a wheel, as the real projective line with a point at nullity (denoted by ⊥). A wheel is a type of algebra (in the sense of universal algebra) where division is always defined. In particular, division by zero is meaningful. The real numbers can be extended to a wheel, as can any commutative ring.

  4. Glossary of graph theory - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_graph_theory

    1. A book, book graph, or triangular book is a complete tripartite graph K1,1,n; a collection of n triangles joined at a shared edge. 2. Another type of graph, also called a book, or a quadrilateral book, is a collection of 4 -cycles joined at a shared edge; the Cartesian product of a star with an edge. 3.

  5. Word-representable graph - Wikipedia

    en.wikipedia.org/wiki/Word-representable_graph

    Word-representable graph. In the mathematical field of graph theory, a word-representable graph is a graph that can be characterized by a word (or sequence) whose entries alternate in a prescribed way. In particular, if the vertex set of the graph is V, one should be able to choose a word w over the alphabet V such that letters a and b ...

  6. Domain coloring - Wikipedia

    en.wikipedia.org/wiki/Domain_coloring

    Domain coloring plot of the function f(x) = ⁠ (x2 − 1) (x − 2 − i) 2 x2 + 2 + 2 i⁠, using the structured color function described below. In complex analysis, domain coloring or a color wheel graph is a technique for visualizing complex functions by assigning a color to each point of the complex plane. By assigning points on the ...

  7. Graph theory - Wikipedia

    en.wikipedia.org/wiki/Graph_theory

    In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of vertices (also called nodes or points) which are connected by edges (also called arcs, links or lines).

  8. Unit distance graph - Wikipedia

    en.wikipedia.org/wiki/Unit_distance_graph

    A unit distance graph with 16 vertices and 40 edges. In mathematics, particularly geometric graph theory, a unit distance graph is a graph formed from a collection of points in the Euclidean plane by connecting two points whenever the distance between them is exactly one. To distinguish these graphs from a broader definition that allows some ...

  9. Erdős–Rényi model - Wikipedia

    en.wikipedia.org/wiki/Erdős–Rényi_model

    A graph generated by the binomial model of Erdős and Rényi (p = 0.01) In the (,) model, a graph is chosen uniformly at random from the collection of all graphs which have nodes and edges. The nodes are considered to be labeled, meaning that graphs obtained from each other by permuting the vertices are considered to be distinct.