# Perfect state transfer in integral circulant graphs of non-square-free order

@article{Basic2010PerfectST, title={Perfect state transfer in integral circulant graphs of non-square-free order}, author={Milan Basic and Marko D. Petkovi{\'c}}, journal={Linear Algebra and its Applications}, year={2010}, volume={433}, pages={149-163} }

## 16 Citations

### Perfect state transfer on abelian Cayley graphs

- MathematicsLinear Algebra and its Applications
- 2019

### Perfect state transfer in NEPS of some graphs

- MathematicsLinear and Multilinear Algebra
- 2018

ABSTRACT Let G be a graph with adjacency matrix . The transition matrix of G corresponding to is denoted as . If there is some time such that has unit modulus, where u and v are distinct vertices in…

### Perfect state transfer in unitary Cayley graphs and gcd-graphs

- Mathematics
- 2019

Abstract In this work, we consider the problem on the existence of perfect state transfer in unitary Cayley graphs and gcd-graphs over finite commutative rings. We characterize all finite commutative…

### Perfect State Transfer in Quantum Walks on Graphs

- Physics
- 2011

We provide a brief survey of perfect state transfer in quantum walks on finite graphs. The ability to transfer a quantum state from one part of a quantum computer to another is a key ingredient of…

### The exact maximal energy of integral circulant graphs with prime power order

- MathematicsContributions Discret. Math.
- 2013

All divisor sets maximising the energy of an integral circulant graph of order $p^s$ are determined, which enables us to compute the maximal energy $\Emax{ p^s}$ among all integralcirculant graphs of order p.s.

### Counting subgraphs of regular graphs using spectral moments

- Mathematics
- 2017

This thesis introduces a novel approach to counting subgraphs of regular graphs. This is useful for relating the algebraic properties of a graph G to its structural properties; namely the eigenvalues…

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It is shown that, for a class of graphs X including all vertex-transitive graphs, if perfect state transfer occurs at time τ , then H(τ) is a scalar multiple of a permutation matrix of order two with no fixed points.

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The spectrum S(G) of a graph G of order p is defined as the non-increasing sequence of the p real eigenvalues of the adjacency matrix of G. It has been found that certain graphs have an integral…