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See all on WikipediaSemi-symmetric graph - Wikipedia
In the mathematical field of graph theory, a semi-symmetric graph is an undirected graph that is edge-transitive and regular, but not vertex-transitive. In other words, a graph is semi-symmetric if each vertex has the same number of incident edges, and there is a symmetry taking any of the graph's edges … See more
A semi-symmetric graph must be bipartite, and its automorphism group must act transitively on each of the two vertex sets of the bipartition (in fact, regularity is not required for this … See more
Semi-symmetric graphs were first studied E. Dauber, a student of F. Harary, in a paper, no longer available, titled "On line- but not point-symmetric graphs". This was seen by See more
The smallest cubic semi-symmetric graph (that is, one in which each vertex is incident to exactly three edges) is the Gray graph on … See more
Wikipedia text under CC-BY-SA license Symmetric graph - Wikipedia
In the mathematical field of graph theory, a graph G is symmetric (or arc-transitive) if, given any two pairs of adjacent vertices u1—v1 and u2—v2 of G, there is an automorphism
such that
andWikipedia · Text under CC-BY-SA license- Estimated Reading Time: 7 mins
110-vertex Iofinova–Ivanov graph - Wikipedia
The 110-vertex Iofinova–Ivanov graph is, in graph theory, a semi-symmetric cubic graph with 110 vertices and 165 edges.
Folkman graph - Wikipedia
Semi-symmetric graphs are defined as regular graphs (that is, graphs in which all vertices touch equally many edges) in which each two edges are symmetric to each other, but some two …
End (graph theory) - Wikipedia
As he shows, for every connected locally finite almost-symmetric graph, the number of ends is either at most two or uncountable; if it is uncountable, the ends have the topology of a Cantor set.
Talk:Semi-symmetric graph - Wikipedia
Maybe there's a proof that if there's a symmetry that maps vertexA to vertexB, there's an involution that does it. But the definition itself, the first sentence of the article, uses "vertex …
Semisymmetric Graph -- from Wolfram MathWorld
Aug 22, 2024 — A regular graph that is edge-transitive but not vertex-transitive is called a semisymmetric graph (MarušiÄŤ and PotoÄŤnik 2001). In contrast, any graph that is both edge-transitive and vertex-transitive is called a symmetric …
Zero-symmetric graph - Wikipedia
In the mathematical field of graph theory, a zero-symmetric graph is a connected graph in which each vertex has exactly three incident edges and, for each two vertices, there is a unique …
Show that semi-symmetric graphs are bipartite
Feb 7, 2013 — Here is a plan: Let G G be the group of automorphisms of a semi-symmetric graph, V V the set of its vertices. Then G G has exactly two orbits in V V. If two vertices …
Transitive Graphs » Daniela Aguirre
Oct 9, 2016 — In general, arc-transitive graphs are vertex and edge-transitive, however, there are vertex and edge-transitive graphs with odd degree that are not arc-transitive. These graps are …
Laplacian matrix - Wikipedia
In the mathematical field of graph theory, the Laplacian matrix, also called the graph Laplacian, admittance matrix, Kirchhoff matrix or discrete Laplacian, is a matrix representation of a graph.
Symmetric Graph -- from Wolfram MathWorld
Aug 22, 2024 — A symmetric graph is a graph that is both edge- and vertex-transitive (Holton and Sheehan 1993, p. 209). However, care must be taken with this definition since arc …
Category:Folkman graph - Wikimedia Commons
graph with 20 vertices and 40 edges, the smallest semi-symmetric graph ... Upload media Wikipedia. Instance of: semi-symmetric graph; bipartite graph; Hamiltonian graph; quartic …
Icosidodecahedron - Wikipedia
The icosidodecahedron is an Archimedean solid, meaning it is a highly symmetric and semi-regular polyhedron, and two or more different regular polygonal faces meet in a vertex. [5] The …
Symmetric difference - Wikipedia
In mathematics, the symmetric difference of two sets, also known as the disjunctive union and set sum, is the set of elements which are in either of the sets, but not both. For example, the …
Symmetric matrix - Wikipedia
Symmetric matrix. Symmetry of a 5×5 matrix. In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose. Formally, Because equal matrices have equal dimensions, …
Regular Map database - graph details
Gray graph. Statistics. It has degree 3, with 54 vertices and 81 edges. It has girth 8, diameter 6 and radius 6. Its symmetry group has 1296 elements. It is bipartite. It is Hamiltonian. It is semi …
Graphs in graph theory - Wikimedia Commons
Jan 14, 2024 — A symmetric graph is one in which there is a symmetry (graph automorphism) taking any ordered pair of adjacent vertices to any other ordered pair; the Foster census lists …
any semi-symmetric graph must not have 2p or 2p2 vertices for p prime. Since then, cubic and 4-valent semi-symmetric graphs have been studied extensively. Cubic graphs have recently …
Semisymmetric graphs - ScienceDirect
Sep 6, 2008 — By Proposition 2.2, the quotient graph X Ëś P of X Ëś relative to P is a cubic symmetric graph of order 16 · 7 = 112 with A / P as an arc-transitive group of automorphisms …
with independent Gaussian entries subject to a symmetry restriction so that the matrix would be symmetric/Hermitian, and study the eigenvalue distribution of such random matrices as a …
Skew-symmetric matrix - Wikipedia
In mathematics, particularly in linear algebra, a skew-symmetric (or antisymmetric or antimetric[ 1]) matrix is a square matrix whose transpose equals its negative. That is, it satisfies the …
Semi-symmetric graph Facts for Kids - Kids encyclopedia
In the mathematical field of graph theory, a semi-symmetric graph is an undirected graph that is edge-transitive and regular, but not vertex-transitive. In other words, a graph is semi …
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