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
Decomposition of Regular Bipartite Graphs Into Hamiltonian Cycles (Paths) and S3
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DOI: 10.1155/jom/2349979
Abstract: Let G be either a complete bipartite graph with n (even) vertices in each partite or a complete bipartite graph with n (odd) vertices in each partite plus a 1âfactor. A Hamiltonian cycle (respectively, path)… read more here.
Keywords: hamiltonian cycles; bipartite graphs; cycles paths; regular bipartite ... See more keywords
Distributed Average Consensus Algorithms in d-Regular Bipartite Graphs: Comparative Study
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DOI: 10.3390/fi15050183
Abstract: Consensus-based data aggregation in d-regular bipartite graphs poses a challenging task for the scientific community since some of these algorithms diverge in this critical graph topology. Nevertheless, one can see a lack of scientific studies… read more here.
Keywords: topology; algorithms; consensus; regular bipartite ... See more keywords