Low-energy tetrahedral networks for carbon and silicon from (2+1)-regular bipartite-like graphs
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DOI: 10.1107/s2052252525005810
Abstract: This study identifies carbon crystal structures as 4-degree quotient graphs and proposes a novel approach for generating 3D 4-coordinate networks using 2D (2+1)-regular bipartite-like graphs. Through a random group and graph theory (RG2) method, we… read more here.
Keywords: low energy; like graphs; bipartite like; regular bipartite ... See more keywords
Enumerating Tree-Like Graphs and Polymer Topologies with a Given Cycle Rank
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DOI: 10.3390/e22111295
Abstract: Cycle rank is an important notion that is widely used to classify, understand, and discover new chemical compounds. We propose a method to enumerate all non-isomorphic tree-like graphs of a given cycle rank with self-loops… read more here.
Keywords: cycle rank; given cycle; cycle; like graphs ... See more keywords