Minimum Vertex-type Sequence Indexing for Clusters on Square Lattice
L Liao, YJ Zhao, Z Cao, XB Yang - Scientific Reports, 2017 - nature.com
An effective indexing scheme for clusters that enables fast structure comparison and
congruence check is desperately desirable in the field of mathematics, artificial intelligence,
materials science, etc. Here we introduce the concept of minimum vertex-type sequence for
the indexing of clusters on square lattice, which contains a series of integers each labeling
the vertex type of an atom. The minimum vertex-type sequence is orientation independent,
and it builds a one-to-one correspondence with the cluster. By using minimum vertex-type …
congruence check is desperately desirable in the field of mathematics, artificial intelligence,
materials science, etc. Here we introduce the concept of minimum vertex-type sequence for
the indexing of clusters on square lattice, which contains a series of integers each labeling
the vertex type of an atom. The minimum vertex-type sequence is orientation independent,
and it builds a one-to-one correspondence with the cluster. By using minimum vertex-type …
Minimum Vertex-type Sequence Indexingfor Clusters on Square Lattice
L Liao, YJ Zhao, Z Cao, X Yang - arXiv preprint arXiv:1607.04057, 2016 - arxiv.org
An effective indexing scheme for clusters that enables fast structure comparison and
congruence check is desperately desirable in the field of mathematics, artificial intelligence,
materials science, etc. Here we introduce the concept of minimum vertex-type sequence for
the indexing of clusters on square lattice, which contains a series of integers each labeling
the vertex type of an atom. The minimum vertex-type sequence is orientation independent,
and it builds a one-to-one correspondence with the cluster. By using minimum vertex-type …
congruence check is desperately desirable in the field of mathematics, artificial intelligence,
materials science, etc. Here we introduce the concept of minimum vertex-type sequence for
the indexing of clusters on square lattice, which contains a series of integers each labeling
the vertex type of an atom. The minimum vertex-type sequence is orientation independent,
and it builds a one-to-one correspondence with the cluster. By using minimum vertex-type …