Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4654532 | European Journal of Combinatorics | 2008 | 11 Pages |
Abstract
Let ΓΓ be a GG-symmetric graph, and let BB be a nontrivial GG-invariant partition of the vertex set of ΓΓ. This paper aims to characterize (Γ,G)(Γ,G) under the conditions that the quotient graph ΓBΓB is (G,2)(G,2)-arc transitive and the induced subgraph between two adjacent blocks is 2⋅K22⋅K2 or K2,2K2,2. The results answer two questions about the relationship between ΓΓ and ΓBΓB for this class of graphs.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Sanming Zhou,