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2 changes: 1 addition & 1 deletion docs/cugraph-docs/source/graph_support/algorithms.md
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Expand Up @@ -34,7 +34,7 @@ Note: Multi-GPU, or MG, includes support for Multi-Node Multi-GPU (also called M
| | [Ensemble Clustering for Graphs](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/community/ECG.ipynb) | Single-GPU | MG planned for 24.02 |
| | [Spectral-Clustering - Balanced Cut](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/community/Spectral-Clustering.ipynb) | Single-GPU | |
| | [Spectral-Clustering - Modularity](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/community/Spectral-Clustering.ipynb) | Single-GPU | |
| | [Subgraph Extraction](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/community/Subgraph-Extraction.ipyn) | Single-GPU | |
| | [Subgraph Extraction](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/community/Subgraph-Extraction.ipynb) | Single-GPU | |
| | [Triangle Counting](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/community/Triangle-Counting.ipynb) | __Multi-GPU__ | |
| | [K-Truss](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/community/ktruss.ipynb) | Single-GPU | MG planned for 2024 |
| Components | | | |
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16 changes: 4 additions & 12 deletions docs/cugraph-docs/source/graph_support/algorithms/Centrality.md
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Expand Up @@ -15,20 +15,12 @@ But which vertices are most important? The answer depends on which measure/algor

|Algorithm |Notebooks Containing |Description |
| --------------- | ------------------------------------------------------------ | ------------------------------------------------------------ |
|[Degree Centrality](./degree_centrality.html)| [Centrality](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/centrality/Centrality.ipynb), [Degree](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/centrality/Degree.ipynb) |Measure based on counting direct connections for each vertex|
|[Betweenness Centrality](./betweenness_centrality.html)| [Centrality](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/centrality/Centrality.ipynb), [Betweenness](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/centrality/Betweenness.ipynb) |Number of shortest paths through the vertex|
|[Eigenvector Centrality](./eigenvector_centrality.html)|[Centrality](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/centrality/Centrality.ipynb), [Eigenvector](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/centrality/Eigenvector.ipynb)|Measure of connectivity to other important vertices (which also have high connectivity) often referred to as the influence measure of a vertex|
|[Katz Centrality](./katz_centrality.html)|[Centrality](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/centrality/Centrality.ipynb), [Katz](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/centrality/Katz.ipynb) |Similar to Eigenvector but has tweaks to measure more weakly connected graph |
|[Degree Centrality](../degree_centrality.html)| [Centrality](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/centrality/Centrality.ipynb), [Degree](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/centrality/Degree.ipynb) |Measure based on counting direct connections for each vertex|
|[Betweenness Centrality](../betweenness_centrality.html)| [Centrality](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/centrality/Centrality.ipynb), [Betweenness](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/centrality/Betweenness.ipynb) |Number of shortest paths through the vertex|
|[Eigenvector Centrality](../eigenvector_centrality.html)|[Centrality](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/centrality/Centrality.ipynb), [Eigenvector](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/centrality/Eigenvector.ipynb)|Measure of connectivity to other important vertices (which also have high connectivity) often referred to as the influence measure of a vertex|
|[Katz Centrality](../katz_centrality.html)|[Centrality](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/centrality/Centrality.ipynb), [Katz](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/centrality/Katz.ipynb) |Similar to Eigenvector but has tweaks to measure more weakly connected graph |
|Pagerank| [Pagerank](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/link_analysis/Pagerank.ipynb) |Classified as both a link analysis and centrality measure by quantifying incoming links from central vertices. |

[System Requirements](https://github.com/rapidsai/cugraph/blob/main/notebooks/README.md#requirements)



| Author Credit | Date | Update | cuGraph Version | Test Hardware |
| --------------|------------|------------------|-----------------|----------------|
| Brad Rees | 04/19/2021 | created | 0.19 | GV100, CUDA 11.0
| Don Acosta | 07/05/2022 | tested / updated | 22.08 nightly | DGX Tesla V100 CUDA 11.5

## Copyright

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15 changes: 4 additions & 11 deletions docs/cugraph-docs/source/graph_support/algorithms/Similarity.md
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Expand Up @@ -15,22 +15,15 @@ Manipulation of the data before or after the graph analytic is not covered here.

|Algorithm |Notebooks Containing |Description |
| --------------- | ------------------------------------------------------------ | ------------------------------------------------------------ |
|[Jaccard Smiliarity](./jaccard_similarity.html)| [Jaccard Similarity](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/link_prediction/Jaccard-Similarity.ipynb) ||
|[Overlap Similarity](./overlap_similarity.html)| [Overlap Similarity](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/link_prediction/Overlap-Similarity.ipynb) ||
|[Sorensen](./sorensen_coefficient.html)|[Sorensen Similarity](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/link_prediction/Sorensen_coefficient.ipynb)||
|[Jaccard Smiliarity](../jaccard_similarity.html)| [Jaccard Similarity](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/link_prediction/Jaccard-Similarity.ipynb) ||
|[Overlap Similarity](../overlap_similarity.html)| [Overlap Similarity](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/link_prediction/Overlap-Similarity.ipynb) ||
|[Sorensen](../sorensen_coefficient.html)|[Sorensen Similarity](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/link_prediction/Sorensen_coefficient.ipynb)||
|Personal Pagerank|[Pagerank](https://github.com/rapidsai/cugraph/blob/main/notebooks/algorithms/link_analysis/Pagerank.ipynb) ||


[System Requirements](../../README.md#requirements)

| Author Credit | Date | Update | cuGraph Version | Test Hardware |
| --------------|------------|------------------|-----------------|----------------|
| Brad Rees | 04/19/2021 | created | 0.19 | GV100, CUDA 11.0
| Don Acosta | 07/05/2022 | tested / updated | 22.08 nightly | DGX Tesla V100 CUDA 11.5

## Copyright

Copyright (c) 2019 - 2023, NVIDIA CORPORATION.
Copyright (c) 2019 - 2025, NVIDIA CORPORATION.

Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0

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Expand Up @@ -8,7 +8,7 @@ Degree centrality of a vertex 𝑣 is the sum of the edges incident on that node

<div class="math">
\[
C_d(v) = \\frac{{\\text{degree of vertex } \\ v}}{{\\text{number of vertices in graph} - 1}}
C_d(v) = \frac{{\text{degree of vertex } \ v}}{{\text{number of vertices in graph} - 1}}
\]
</div>

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Expand Up @@ -11,7 +11,7 @@ i-th element of the vector x defined by the eigenvector equation.

<div class="math">
\[
x_v = \\frac{1}{\\lambda}{\\sum_{t \\in M(v)}}x_t = \\frac{1}{\\lambda}{\\sum_{t \\in V}{a_v,x_t}
x_v = \frac{1}{\lambda}{\sum_{t \in M(v)}}x_t = \frac{1}{\lambda}{\sum_{t \in V}{a_v,x_t}
\]
</div>

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