field of graph theory, Tietze's graph is an undirected cubic graph with 12 vertices and 18 edges. It is named after Heinrich Franz Friedrich Tietze, who showed...

developed the Tietze transformations for group presentations, and was the first to pose the group isomorphism problem. Tietze's graph is also named after...

theorem Tietze's graph Tietze transformation in mathematics, named after Heinrich Tietze Tietze syndrome in medicine, named after Alexander Tietze This disambiguation...

regular graphs are vertex-transitive (for example, the Frucht graph and Tietze's graph). Finite vertex-transitive graphs include the symmetric graphs (such...

vertices of these six regions form Tietze's graph, which is a dual graph on this surface for the six-vertex complete graph but cannot be drawn without crossings...

a Tait coloring are known as snarks. They include the Petersen graph, Tietze's graph, the Blanuša snarks, the flower snark, the double-star snark, the...

Petersen graph. The 50-vertex Watkins snark was discovered in 1989. Another notable cubic non-three-edge-colorable graph is Tietze's graph, with 12 vertices;...

colors. The vertices and edges of the subdivision form an embedding of Tietze's graph onto the strip. Interactive Szilassi polyhedron model with each of 7...

Franklin graph Frucht graph Goldner–Harary graph Golomb graph Grötzsch graph Harries graph Harries–Wong graph Herschel graph Hoffman graph Holt graph Horton...

connected 3-regular (cubic) simple graphs are listed for small vertex numbers. The number of connected simple cubic graphs on 4, 6, 8, 10, ... vertices is...

various individual (finite) graphs. The columns 'vertices', 'edges', 'radius', 'diameter', 'girth', 'P' (whether the graph is planar), χ (chromatic number)...

such as Tietze's graph which contain triangles. Through computer searches, it is known that every cycle of length 11 or less in a cubic graph forms a...

variation of the Petersen graph formed by replacing one of its vertices by a triangle. This graph is also known as the Tietze's graph. In order to avoid trivial...

a regular cellulation. A loopless graph is represented by a regular 1-dimensional CW-complex. A closed 2-cell graph embedding on a surface is a regular...

functions, the graph might lie inside the height of the rectangle at some point on the graph but there is a point on the graph where the graph lies above...

(combinatorics) Graph structure theorem (graph theory) Grinberg's theorem (graph theory) Grötzsch's theorem (graph theory) Hajnal–Szemerédi theorem (graph theory)...

a geometry, in the sense of geometric group theory: one has the Cayley graph, which has a metric, called the word metric. These are also two resulting...

operation that corresponds to the informal idea of finding the area under the graph of a function. The first theory of integration was developed by Archimedes...

restriction is continuous. Closed graph theorem (functional analysis) – Theorems connecting continuity to closure of graphs Densely defined operator – Function...

graphs of groups Grigorchuk group The ping-pong lemma, a useful way to exhibit a group as a free product Amenable group Nielsen transformation Tietze...

Drugs and Crime. Timeline graph of "Victims of intentional homicide 1990-2018". Can select a country and a region. Table below graph shows data 1990-2018....

continuous function and suppose Y {\displaystyle Y} is Hausdorff. Then the graph of f {\displaystyle f} , { ( x , f ( x ) ) ∣ x ∈ X } {\displaystyle \{(x...

code. This extremal is reached with the ten heavily-marked vertices of the graph of Fig. 4 for n = 4, or, in fact, with any set of ten code combinations...

generated or not) is free, if and only if it is the fundamental group of a graph (finite or not). This allows one to explicitly find a basis of F ′ {\textstyle...

Geography. pp. 507–523. doi:10.1002/9781118725771.ch37. ISBN 978-1-118-72577-1. Tietze, Susanne; Dick, Penny. "The Victorious English Language: Hegemonic Practices...

numbers can be represented by a graph in the Cartesian plane; such a function is continuous if, roughly speaking, the graph is a single unbroken curve whose...

Schwerdtfeger, Teubner-Archiv zur Mathematik; vol. 3, 251 p.: 1 Ill., graph. Darst.; 22 cm, Teubner, Leipzig 1985. Über die analytische Fortsetzung...

without any sudden changes in resistance while inhaling or exhaling. In the graph, right, note the initial spike in pressure on exhaling to open the exhaust...

polynomial equations. A linear graph has a natural topology that generalises many of the geometric aspects of graphs with vertices and edges. Many sets...

equality when the partial cube is a hypercube graph. According to Ramsey's theorem, every n-vertex undirected graph has either a clique or an independent set...