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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 … 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
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Semi-symmetric graph - Wikiwand
WEBIn 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 …
Tutte 12-cage - Wikipedia
WEBIn 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 …
Normal distribution - Wikipedia
WEBProbability theory. In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random …
Folkman graph - Wikipedia
WEBThe Folkman graph is the smallest undirected graph that is edge-transitive and regular, but not vertex-transitive. Such graphs are called semi-symmetric graphs and were first …
Symmetric group - Wikipedia
WEBIn abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition …
Semisymmetric Graph -- from Wolfram MathWorld
WEBJun 7, 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 …
110-vertex Iofinova–Ivanov graph - Wikipedia
WEBThe 110-vertex Iofinova–Ivanov graph is, in graph theory, a semi-symmetric cubic graph with 110 vertices and 165 edges. Properties. Iofinova and Ivanov proved in 1985 the …
Graphs in graph theory - Wikimedia Commons
WEBNov 26, 2021 · 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; …
Semi-symmetric graph Facts for Kids - Kids encyclopedia
WEBIn 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 …
WEBTo 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 …
Semi-symmetric graph - HandWiki
WEBIn 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 …
Show that semi-symmetric graphs are bipartite
WEBFeb 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 …
Automorphisms of the symmetric and alternating groups - Wikipedia
WEBConstruction from graph partitions. Before the more mathematically rigorous constructions, it helps to understand a simple construction. Take a complete graph with 6 vertices, K 6. …
Hermitian matrix - Wikipedia
WEBHermitian matrices are applied in the design and analysis of communications system, especially in the field of multiple-input multiple-output (MIMO) systems. Channel …
Zero-symmetric graph - Wikipedia
WEBIn 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 …
WEBBerkeley Churchill. May 2012. Abstract. A graph is semi-symmetric if it is regular and edge transitive but not vertex transitive. The 3- and 4-valent semi-symmetric graphs are …
WEBsemi-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- …
WEBSemi-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: …
Category:Folkman graph - Wikimedia Commons
WEBgraph with 20 vertices and 40 edges, the smallest semi-symmetric graph ... Upload media Wikipedia. Instance of: semi-symmetric graph; bipartite graph; Hamiltonian graph; …
List of women in mathematics - Wikipedia
WEB" The Gray graph, the smallest cubic semi-symmetric graph, was discovered by Marion Gray while she was working at AT&T. Lisl Gaal (born 1924), Austrian-born American set …
Do positive semidefinite matrices have to be symmetric?
WEBDo positive semidefinite matrices have to be symmetric? Can you have a non-symmetric matrix that is positive definite? I can't seem to figure out why you wouldn't be able to …
SGAAE-AC: A Semi-Supervised Graph Attention Autoencoder for …
WEB21 hours ago · The structural and cognitive functions of the brain undergo significant changes throughout an individual’s lifetime. The analysis of EEG background waves …
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