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Omega Indices of Strong and Lexicographic Products of Graphs
Current Organic SynthesisBackground: The degree sequence of a graph is the list of its vertex degrees arranged in usually increasing order. Many properties of the graphs realized from a degree sequence can be deduced by means of a recently introduced graph invariant called omega invariant.
Medha Itagi Huilgol +2 more
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Hamiltonian threshold for strong products of graphs
Journal of Graph Theory, 2008AbstractWe prove that the strong product of any at least ${({\rm ln}}\, {2})\Delta+{O}(\sqrt{\Delta})$ non‐trivial connected graphs of maximum degree at most Δ is pancyclic. The obtained result is asymptotically best possible since the strong product of ⌊(ln 2)D⌋ stars K1,D is not even hamiltonian. © 2008 Wiley Periodicals, Inc.
Král', Daniel, Stacho, Ladislav
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On the Genus of Strong Tensor Products of Graphs
Canadian Journal of Mathematics, 1976The genus parameter for graphs has been studied extensively in recent years, with impetus given primarily by the Ringel-Youngs solution to the Heawood Map-coloring Problem [15]. This solution involved the determination of 𝛄(Kn), the genus of the complete graph Kn.
Garman, B. L. +2 more
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The AME 2020 atomic mass evaluation (II). Tables, graphs and references*
Chinese Physics C, 2021Meng Wang, Filip Kondev, Sarah Naimi
exaly
Haplotype-resolved de novo assembly using phased assembly graphs with hifiasm
Nature Methods, 2021Haoyu Cheng +2 more
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Multiplex de Bruijn graphs enable genome assembly from long, high-fidelity reads
Nature Biotechnology, 2022Anton Bankevich +2 more
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Semantic Knowledge Graphs for the News: A Review
ACM Computing Surveys, 2023Andreas L Opdahl +2 more
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