A new class of transitive graphs
نویسندگان
چکیده
Let n and k be integers with n ≥ k ≥ 0. This paper presents a new class of graphs H(n, k), which contains hypercubes and some well-known graphs, such as Johnson graphs, Kneser graphs and Petersen graph, as its subgraphs. The authors present some results of algebraic and topological properties of H(n, k). For example, H(n, k) is a Cayley graph, the automorphism group of H(n, k) contains a subgroup of order 2nn! and H(n, k) has a maximal connectivity ( n k ) and is hamiltonian if k is odd; it consists of two isomorphic connected components if k is even. Moreover, the diameter of H(n, k) is determined if k is odd. © 2009 Elsevier B.V. All rights reserved.
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عنوان ژورنال:
- Discrete Mathematics
دوره 310 شماره
صفحات -
تاریخ انتشار 2010