Semisymmetric graphs
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.
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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...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2008
ISSN: 0012-365X
DOI: 10.1016/j.disc.2007.07.096