More details in the doc of weighted rips

2 files changed, 28 insertions, 3 deletions

diff --git a/biblio/bibliography.bib b/biblio/bibliography.bib
index b5afff52..e75e8db2 100644
--- a/biblio/bibliography.bib
+++ b/biblio/bibliography.bib
@@ -1280,7 +1280,7 @@ year = "2011"
   publisher={Springer}
 }
 
-@inproceedings{dtmfiltrations,
+@inproceedings{dtmfiltrationsconf,
   author    = {Hirokazu Anai and
                Fr{\'{e}}d{\'{e}}ric Chazal and
                Marc Glisse and
@@ -1305,6 +1305,29 @@ year = "2011"
   bibsource = {dblp computer science bibliography, https://dblp.org}
 }
 
+@InProceedings{dtmfiltrations,
+author="Anai, Hirokazu
+and Chazal, Fr{\'e}d{\'e}ric
+and Glisse, Marc
+and Ike, Yuichi
+and Inakoshi, Hiroya
+and Tinarrage, Rapha{\"e}l
+and Umeda, Yuhei",
+editor="Baas, Nils A.
+and Carlsson, Gunnar E.
+and Quick, Gereon
+and Szymik, Markus
+and Thaule, Marius",
+title="DTM-Based Filtrations",
+booktitle="Topological Data Analysis",
+year="2020",
+publisher="Springer International Publishing",
+address="Cham",
+pages="33--66",
+isbn="978-3-030-43408-3",
+doi="10.1007/978-3-030-43408-3_2",
+}
+
 @InProceedings{edgecollapsesocg2020,
   author =	{Jean-Daniel Boissonnat and Siddharth Pritam},
   title =	{{Edge Collapse and Persistence of Flag Complexes}},
diff --git a/src/python/gudhi/weighted_rips_complex.py b/src/python/gudhi/weighted_rips_complex.py
index 0541572b..16f63c3d 100644
--- a/src/python/gudhi/weighted_rips_complex.py
+++ b/src/python/gudhi/weighted_rips_complex.py
@@ -12,9 +12,11 @@ from gudhi import SimplexTree
 class WeightedRipsComplex:
     """
     Class to generate a weighted Rips complex from a distance matrix and weights on vertices, 
-    in the way described in :cite:`dtmfiltrations`.
+    in the way described in :cite:`dtmfiltrations` with `p=1`. The filtration value of vertex `i` is `2*weights[i]`,
+    and the filtration value of edge `ij` is `distance_matrix[i][j]+weights[i]+weights[j]`,
+    or the maximum of the filtrations of its extremities, whichever is largest.
     Remark that all the filtration values are doubled compared to the definition in the paper 
-    for the consistency with RipsComplex.
+    for consistency with RipsComplex.
     """
     def __init__(self, 
                 distance_matrix,