(Conformally) semisymmetric spaces and special semisymmetric Weyl tensors
نویسندگان
چکیده
منابع مشابه
Semisymmetric graphs from polytopes
Every finite, self-dual, regular (or chiral) 4-polytope of type {3, q, 3} has a trivalent 3-transitive (or 2-transitive) medial layer graph. Here, by dropping self-duality, we obtain a construction for semisymmetric trivalent graphs (which are edgebut not vertex-transitive). In particular, the Gray graph arises as the medial layer graph of a certain universal locally toroidal regular 4-polytope.
متن کاملCubic Semisymmetric Graphs of Order 2p 3 Semisymmetric Graphs of Order 2p 3
A regular graph is called semisymmetric if it is edge-transitive but not vertex-transitive. It is proved that the Gray graph is the only cubic semisymmetric graph of order 2p3, where p 3 is a prime.
متن کاملAffine Primitive Groups and Semisymmetric Graphs
In this paper, we investigate semisymmetric graphs which arise from affine primitive permutation groups. We give a characterization of such graphs, and then construct an infinite family of semisymmetric graphs which contains the Gray graph as the third smallest member. Then, as a consequence, we obtain a factorization of the complete bipartite graph Kpspt ,psp into connected semisymmetric graph...
متن کاملA worthy family of semisymmetric graphs
In this paper, we construct semisymmetric graphs in which no two vertices have exactly the same neighbors. We show how to do this by /rst considering bi-transitive graphs, and then we show how to choose two such graphs so that their product is regular. We display a family of bi-transitive graphs DN (a; b) which can be used for this purpose and we show that their products are semisymmetric by ap...
متن کاملSemisymmetric cubic graphs of twice odd order
Suppose that Γ is a connected graph and G is a subgroup of the automorphism group Aut(Γ) of Γ. Then Γ is G-symmetric if G acts transitively on the arcs (and so the vertices) of Γ and Γ is G-semisymmetric if G acts edge transitively but not vertex transitively on Γ. If Γ is Aut(Γ)symmetric, respectively, Aut(Γ)-semisymmetric, then we say that Γ is symmetric, respectively, semisymmetric. If Γ is ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2011
ISSN: 1742-6596
DOI: 10.1088/1742-6596/314/1/012019