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Analyzing, Exploring, and Visualizing Complex Networks via Hypergraphs using SimpleHypergraphs.jl
[article]
2020
arXiv
pre-print
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Working with hypergraphs requires new software libraries that make it possible to perform operations on them, from basic algorithms (such as searching or traversing the network) to computing significant ...
In this paper, we present a new software library, SimpleHypergraphs.jl, written in the Julia language and designed for high-performance computing on hypergraphs and propose two new algorithms for analyzing ...
-Chapel HyperGraph Library (CHGL) [4] has been developed by the Pacific Northwest National Laboratory since 2018, and released under the MIT license. ...
arXiv:2002.04654v2
fatcat:u2rmm7a5qrfu5euln2fot3fmjy
Hypernetwork Science: From Multidimensional Networks to Computational Topology
[article]
2020
arXiv
pre-print
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and the relationship to bicolored graphs, quantitative adjacency and incidence, the nature of walks in hypergraphs, and available topological relationships and properties. ...
As data structures and mathematical objects used for complex systems modeling, hypergraphs sit nicely poised between on the one hand the world of network models, and on the other that of higher-order mathematical ...
/pnnl/HyperNetX) and the Chapel Hypergraph Library (CHGL, https://github.com/pnnl/chgl); and additionally diagrams were produced in HNX. ery graph is a 2-uniform hyergraph, so that |e| = k = 2 for all ...
arXiv:2003.11782v1
fatcat:yh4auler7fc7vfriibh73ldegu
High-order Line Graphs of Non-uniform Hypergraphs: Algorithms, Applications, and Experimental Analysis
[article]
2022
arXiv
pre-print
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Hypergraphs offer flexible and robust data representations for many applications, but methods that work directly on hypergraphs are not readily available and tend to be prohibitively expensive. ...
However, this approach suffers from massive space complexity and high computational cost with increasing hypergraph size. ...
Shared-memory C++-based framework Hygra [38] , and distributed-memory frameworks such as Chapel-based CHGL [19] , Apache Spark-based MESH [13] and HyperX [20] presented a collection of efficient ...
arXiv:2201.11326v1
fatcat:hjyufxso3rdvtfmkhz75mapb7i
Hypernetwork science via high-order hypergraph walks
2020
EPJ Data Science
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A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Edge incidence in hypergraphs is quantitative, yielding hypergraph walks with both length and width. ...
We propose high-order hypergraph walks as a framework to generalize graph-based network science techniques to hypergraphs. ...
are available o as part of The Chapel HyperGraph Library (CHGL, [76] ), a prototype HPC library [77] for large-scale hypergraph generation and analysis written in the emerging programming language ...
doi:10.1140/epjds/s13688-020-00231-0
fatcat:x7bvvkmbo5gulcoznzjtiialma
Hypernetwork Science via High-Order Hypergraph Walks
[article]
2020
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Other Versions
Edge incidence in hypergraphs is quantitative, yielding hypergraph walks with both length and width. ...
We propose high-order hypergraph walks as a framework to generalize graph-based network science techniques to hypergraphs. ...
are available 15 as part of The Chapel HyperGraph Library (CHGL, [39] ), a prototype HPC library [40] for large-scale hypergraph generation and analysis written in the emerging programming language ...
arXiv:1906.11295v2
fatcat:qjncpn2oovfqpoaevdl3atxa24