graph theory, the medial graph of plane graph G is another graph M(G) that represents the adjacencies between edges in the faces of G. Medial graphs were...

planar embedding. The medial graph of the dual graph of a plane graph is the same as the medial graph of the original plane graph. For regular polyhedra...

edges with dashed lines. The original knot diagram is the medial graph of this new plane graph, with the type of each crossing determined by the sign of...

an object's boundary Medial graph, another graph that represents the adjacencies between edges in the faces of a plane graph Medial triangle, the triangle...

combining one half from each graph. The Herschel graph also provides an example of a polyhedral graph for which the medial graph has no Hamiltonian decomposition...

graph; dual graph; medial graph; quotient graph; Y-Δ transform; Mycielskian. Binary operations create a new graph from two initial graphs G1 = (V1, E1)...

polyhedron notation uses a for ambo as this operator. In graph theory this operation creates a medial graph. The rectification of any regular self-dual polyhedron...

mathematical discipline of graph theory, the dual graph of a planar graph G is a graph that has a vertex for each face of G. The dual graph has an edge for each...

Nash-Williams. Every medial graph is a quartic plane graph, and every quartic plane graph is the medial graph of a pair of dual plane graphs or multigraphs...

is given by the medial graph of the Herschel graph. Unsolved problem in mathematics Does every prism over a 3-connected 3-regular graph have a Hamiltonian...

is a graph polynomial. It is a polynomial in two variables which plays an important role in graph theory. It is defined for every undirected graph G {\displaystyle...

Elemente der Topologie, by Hans Rademacher. Hall algebra Hauptvermutung Medial graph Steinitz class Steinitz exchange lemma Supernatural numbers Lévy–Steinitz...

Ireland. Dowker-Thistlethwaite notation Four color theorem Homoeoid Medial graph Nabla symbol Smith, C. (2004). "Tait, Peter Guthrie (1831–1901)". Oxford...

statistical mechanics, probability theory, graph theory, etc. the random cluster model is a random graph that generalizes and unifies the Ising model...

equivalent polyhedra can be thought of as one of many embeddings of a polyhedral graph on the sphere. Unless otherwise specified, in this article (and in the literature...

of the medial graph of a planar graph is exactly twice the branch width of the original graph. It is NP-complete to determine whether a graph G has a...

In graph theory and network analysis, indicators of centrality assign numbers or rankings to nodes within a graph corresponding to their network position...

A tear of the medial meniscus can occur as part of the unhappy triad, together with a tear of the anterior cruciate ligament and medial collateral ligament...

or anatomically the medial frontoparietal network (M-FPN), is a large-scale brain network primarily composed of the dorsal medial prefrontal cortex, posterior...

generalising the algebraic properties of the majority function Median graph, undirected graph in which every three vertices a, b, and c have a unique median...

bendless three-dimensional orthogonal graph drawing", in Tollis, Ioannis G.; Patrignani, Marizio (eds.), Graph Drawing, Lecture Notes in Computer Science...

similar in some ways to the medial axis but differs in that the skeleton is composed of straight line segments, while the medial axis of a polygon may involve...

anatomical isthmi The visible medial third of the uterine tube is the isthmus of uterine tube or isthmus tubae uterinae An edge in a graph whose deletion increases...

forms a graph, with 4 vertices, and 6 edges. It is a special case of the complete graph, K4, and wheel graph, W4. It is one of 5 Platonic graphs, each a...

in stressed open syllables, in which case it is written with the variant graph ei. ^5 Can either represent [ɔ], the short version of long o [ɔː/oː], or...

Voronoi diagrams are also related to other geometric structures such as the medial axis (which has found applications in image segmentation, optical character...

In geometry, the medial rhombic triacontahedron (or midly rhombic triacontahedron) is a nonconvex isohedral polyhedron. It is a stellation of the rhombic...

There are other shape descriptors, such as graph-based descriptors like the medial axis or the Reeb graph that capture geometric and/or topological information...

is an example of a Platonic solid and of a deltahedron. The icosahedral graph represents the skeleton of a regular icosahedron. Many polyhedra are constructed...

pentagons. As such, it is topologically a regular polyhedron of index two: The medial rhombic triacontahedron is the dual of the dodecadodecahedron. It has 30...