Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8903021 | Discrete Mathematics | 2018 | 7 Pages |
Abstract
The transition matrix of a graph G corresponding to the adjacency matrix A is defined by H(t)âexpâitA, where tâR. The graph is said to exhibit pretty good state transfer between a pair of vertices u and v if there exists a sequence tk of real numbers such that limkââH(tk)eu=γev, where γ is a complex number of unit modulus. We present a class of circulant graphs admitting pretty good state transfer. Also we find some circulant graphs not exhibiting pretty good state transfer. This generalizes several pre-existing results on circulant graphs admitting pretty good state transfer.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Hiranmoy Pal,