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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
Semi-symmetric graph - Wikiwand
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 …
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 vertices are not symmetric. Jon Folkman was inspired to define and research these graphs in a 1967 paper, after seeing an unpublished manuscript by E. Dauber and Frank...
- Estimated Reading Time: 6 mins
Folkman graph - Wikiwand
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 …
Semisymmetric Graph -- from Wolfram MathWorld
2 days ago · A regular graph that is edge-transitive but not vertex-transitive is called a semisymmetric graph (Marušič and Potočnik 2001). In contrast, any graph that is both edge …
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 …
To understand semi-symmetric graphs, we must be able to describe relationships between different symmetries. Group theory provides the necessary tools to do this. In the following …
Semi-Symmetric graphs are graphs which are edge-transitive, not vertex-transitive and regular. All edge-transitive graphs fall into one of the following three categories: symmetric, strongly bi …
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.
Show that semi-symmetric graphs are bipartite
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 belong to the same orbit, …
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 …
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 …
Gray graph - Wikipedia
Therefore, the Gray graph is a semi-symmetric graph, the smallest possible cubic semi-symmetric graph. The characteristic polynomial of the Gray graph is ( x − 3 ) x 16 ( x + 3 ) ( x 2 − 6 ) 6 ( x …
semi-symmetric regular graph is the Folkman graph, which is 4-valent on 20 vertices. Also note that every arc-transitive connected graph without isolated vertices is both vertex- transitive and …
Semisymmetric graphs - ScienceDirect
Sep 6, 2008 · Semisymmetric graph. Arc-transitive graph. 1. Introduction. Throughout this paper a graph means a finite, connected, simple and undirected graph. For a graph X, denote by V ( …
Tutte 12-cage - Wikipedia
In the mathematical field of graph theory, the Tutte 12-cage or Benson graph is a 3-regular graph with 126 vertices and 189 edges. It is named after W. T. Tutte. The Tutte 12-cage is the unique …
Category : Folkman graph - Wikimedia
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 …
Symmetric group - Wikipedia
A Cayley graph of the symmetric group S 4 using the generators (red) a right circular shift of all four set elements, and (blue) a left circular shift of the first three set elements. Cayley table, …
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 …
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