• Thumbnail for Medial graph
    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...
    7 KB (854 words) - 16:15, 27 November 2023
  • 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...
    43 KB (5,299 words) - 10:28, 5 July 2024
  • Thumbnail for Knot (mathematics)
    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...
    23 KB (2,508 words) - 21:20, 11 January 2024
  • 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...
    2 KB (289 words) - 19:28, 16 June 2019
  • Thumbnail for Dual graph
    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...
    51 KB (6,607 words) - 17:51, 27 September 2024
  • Thumbnail for Herschel graph
    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...
    14 KB (1,617 words) - 07:10, 6 December 2023
  • graph; dual graph; medial graph; quotient graph; Y-Δ transform; Mycielskian. Binary operations create a new graph from two initial graphs G1 = (V1, E1)...
    5 KB (510 words) - 17:03, 16 August 2024
  • Thumbnail for Rectification (geometry)
    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...
    15 KB (889 words) - 09:55, 24 September 2024
  • Thumbnail for Hamiltonian decomposition
    Hamiltonian decomposition (category Graph theory objects)
    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...
    13 KB (1,522 words) - 04:24, 19 August 2024
  • 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...
    6 KB (645 words) - 08:20, 12 October 2023
  • Thumbnail for Ernst Steinitz
    Elemente der Topologie, by Hans Rademacher. Hall algebra Hauptvermutung Medial graph Steinitz class Steinitz exchange lemma Supernatural numbers Lévy–Steinitz...
    6 KB (542 words) - 19:38, 7 July 2024
  • Thumbnail for Peter Guthrie Tait
    his honour. Dowker–Thistlethwaite notation Four color theorem Homoeoid Medial graph Nabla symbol Smith, C. (2004). "Tait, Peter Guthrie (1831–1901)". Oxford...
    17 KB (1,914 words) - 04:17, 12 September 2024
  • Thumbnail for Tutte polynomial
    Tutte polynomial (category Graph invariants)
    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...
    39 KB (5,377 words) - 18:30, 16 December 2024
  • Thumbnail for Conway polyhedron notation
    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...
    47 KB (2,673 words) - 09:29, 9 November 2024
  • Random cluster model (category Graph theory)
    statistical mechanics, probability theory, graph theory, etc. the random cluster model is a random graph that generalizes and unifies the Ising model...
    13 KB (1,980 words) - 13:53, 5 June 2024
  • Thumbnail for Centrality
    In graph theory and network analysis, indicators of centrality assign numbers or rankings to nodes within a graph corresponding to their network position...
    47 KB (6,734 words) - 16:20, 24 November 2024
  • Thumbnail for Meniscus tear
    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...
    51 KB (6,260 words) - 16:11, 10 December 2024
  • Thumbnail for Branch-decomposition
    Branch-decomposition (category Trees (graph theory))
    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...
    21 KB (2,449 words) - 04:38, 2 November 2024
  • Thumbnail for Straight skeleton
    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...
    20 KB (2,179 words) - 06:34, 29 August 2024
  • 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...
    2 KB (353 words) - 18:01, 31 October 2024
  • Thumbnail for Default mode network
    or anatomically the medial frontoparietal network (M-FPN), is a large-scale brain network primarily composed of the dorsal medial prefrontal cortex, posterior...
    63 KB (7,170 words) - 15:45, 19 December 2024
  • 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...
    850 bytes (157 words) - 02:20, 20 February 2023
  • Thumbnail for Regular icosahedron
    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...
    37 KB (3,858 words) - 04:30, 22 November 2024
  • Thumbnail for Local feature size
    distance between x {\displaystyle x} and the medial axis of M {\displaystyle M} . Given a planar straight-line graph, the local feature size at any point x...
    2 KB (178 words) - 19:56, 23 May 2021
  • Syllable (redirect from Syllable medial)
    complex medials such as /rj/, /ji/, /jw/ and /jwi/. The medial groups phonologically with the rime rather than the onset, and the combination of medial and...
    45 KB (5,417 words) - 16:44, 1 December 2024
  • Thumbnail for Truncated dodecadodecahedron
    bendless three-dimensional orthogonal graph drawing", in Tollis, Ioannis G.; Patrignani, Marizio (eds.), Graph Drawing, Lecture Notes in Computer Science...
    6 KB (612 words) - 02:44, 15 November 2023
  • 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...
    75 KB (9,514 words) - 17:50, 21 December 2024
  • 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...
    21 KB (1,499 words) - 15:31, 17 December 2024
  • Thumbnail for Voronoi diagram
    Voronoi diagrams are also related to other geometric structures such as the medial axis (which has found applications in image segmentation, optical character...
    46 KB (5,497 words) - 21:22, 17 December 2024
  • Thumbnail for Medial rhombic triacontahedron
    In geometry, the medial rhombic triacontahedron (or midly rhombic triacontahedron) is a nonconvex isohedral polyhedron. It is a stellation of the rhombic...
    4 KB (425 words) - 17:55, 31 March 2024