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...

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

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

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

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...

notable cubic non-three-edge-colorable graph is Tietze's graph, with 12 vertices; as Heinrich Franz Friedrich Tietze discovered in 1910, it forms the boundary...

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

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...

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...

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

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...

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...

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...

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...

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

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...

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

0–9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 2-factor theorem (graph theory) 15 and 290 theorems (number theory) 2π theorem (Riemannian geometry)...

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...

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...

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...

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

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

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...

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...

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...

geometric modelling. There are also connections to string theory, game theory, graph matchings, solitons and integer programming. Glossary of classical algebraic...

randomly chosen Nielsen transformations in order to take a random walk on the graph of generating sets of the group. The algorithm is well studied, and survey...

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...

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...