9 citations · 9 across the 4 of their papers we have counts for
4 papers
Minimum Vertex-type Sequence Indexingfor Clusters on Square Lattice
Longguang Liao, Yu-Jun Zhao, Zexian Cao +1
An effective indexing scheme for clusters that enables fast structure comparison and congruence check is desperately desirable in the field of mathematics, artificial intelligence,…
Proof of Directional Scaling Symmetry in Square and Triangular Lattices with the Concept of Gaussian and Eisenstein Integers
Cao Zexian
In a previous work [Scientific Reports 4, 6193(2014)] we proved the existence of scale symmetry in square and triangular (thus honeycomb) lattices by investigating the functiony=\a…
Directional Scaling Symmetry of High-symmetry Two-dimensional Lattices
Longguang Liao, Zexian Cao
Two-dimensional lattices provide the arena for many physics problems of essential importance, a non-trivial symmetry in such lattices will help to reveal the underlying physics. Wh…
A Single Cluster Covering for Dodecagonal Quasiperiodic Structure
Longguang Liao, Zexian Cao
Single cluster covering approach provides a plausible mechanism for the formation and stability of octagonal and decagonal quasiperiodic structures. For dodecagonal quasiperiodic p…