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Isometric graph paper or 3D graph paper is a triangular graph paper which uses a series of three guidelines forming a 60° grid of small triangles. The triangles are arranged in groups of six to make hexagons. The name suggests the use for isometric views or pseudo-three-dimensional views. Among other functions, they can be used in the design ...
The paper written by Leonhard Euler on the Seven Bridges of Königsberg and published in 1736 is regarded as the first paper in the history of graph theory. [20] This paper, as well as the one written by Vandermonde on the knight problem, carried on with the analysis situs initiated by Leibniz.
Mycielskian. In the mathematical area of graph theory, the Mycielskian or Mycielski graph of an undirected graph is a larger graph formed from it by a construction of Jan Mycielski (1955). The construction preserves the property of being triangle-free but increases the chromatic number; by applying the construction repeatedly to a triangle-free ...
The friendship graphs F 2, F 3 and F 4. In the mathematical field of graph theory, the friendship graph (or Dutch windmill graph or n-fan) F n is a planar, undirected graph with 2n + 1 vertices and 3n edges. [1] The friendship graph F n can be constructed by joining n copies of the cycle graph C 3 with a common vertex, which becomes a universal ...
Pages in category "Unsolved problems in graph theory". The following 32 pages are in this category, out of 32 total. This list may not reflect recent changes.
Incidence (graph) In graph theory, a vertex is incident with an edge if the vertex is one of the two vertices the edge connects. An incidence is a pair where is a vertex and is an edge incident with. Two distinct incidences and are adjacent if and only if , or or . An incidence coloring of a graph is an assignment of a color to each incidence ...
More formally, a graph property is a class of graphs with the property that any two isomorphic graphs either both belong to the class, or both do not belong to it. [1] Equivalently, a graph property may be formalized using the indicator function of the class, a function from graphs to Boolean values that is true for graphs in the class and ...
Cograph. In graph theory, a cograph, or complement-reducible graph, or P4-free graph, is a graph that can be generated from the single-vertex graph K1 by complementation and disjoint union. That is, the family of cographs is the smallest class of graphs that includes K1 and is closed under complementation and disjoint union.