Move Edge collapse section

1 files changed, 23 insertions, 23 deletions

diff --git a/src/common/doc/main_page.md b/src/common/doc/main_page.md
index 462d857e..b12145a3 100644
--- a/src/common/doc/main_page.md
+++ b/src/common/doc/main_page.md
@@ -217,57 +217,57 @@
  </tr>
 </table>
 
-### Witness complex
+### Edge collapse
 
 <table>
   <tr>
     <td width="35%" rowspan=2>
-      \image html "Witness_complex_representation.png"
+      \image html "edge_collapse_representation.png"
     </td>
     <td width="50%">
-    Witness complex \f$ Wit(W,L) \f$  is a simplicial complex defined on two sets of points in \f$\mathbb{R}^D\f$.
-    The data structure is described in \cite boissonnatmariasimplextreealgorithmica .
+    Edge collapse is able to reduce any flag filtration to a smaller flag filtration with the same persistence, using
+    only the 1-skeletons of a simplicial complex.
+    The reduction is exact and the persistence homology of the reduced sequence is identical to the persistence
+    homology of the input sequence. The resulting method is simple and extremely efficient.
+
+    Computation of edge collapse and persistent homology of a filtered flag complex via edge collapse as described in
+    \cite edgecollapsesocg2020.
     </td>
     <td width="15%">
-      <b>Author:</b> Siargey Kachanovich<br>
-      <b>Introduced in:</b> GUDHI 1.3.0<br>
-      <b>Copyright:</b> MIT ([GPL v3](../../licensing/) for Euclidean version)<br>
-      <b>Euclidean version requires:</b> \ref eigen &ge; 3.1.0 and \ref cgal &ge; 4.11.0
+      <b>Author:</b> Siddharth Pritam<br>
+      <b>Introduced in:</b> GUDHI 2.4.0<br>
+      <b>Copyright:</b> MIT<br>
+      <b>Requires:</b> \ref eigen
     </td>
  </tr>
  <tr>
     <td colspan=2 height="25">
-    <b>User manual:</b> \ref witness_complex
+    <b>User manual:</b> \ref edge_collapse
     </td>
  </tr>
 </table>
 
-#### Edge collapse
+### Witness complex
 
 <table>
   <tr>
     <td width="35%" rowspan=2>
-      \image html "edge_collapse_representation.png"
+      \image html "Witness_complex_representation.png"
     </td>
     <td width="50%">
-    Edge collapse is able to reduce any flag filtration to a smaller flag filtration with the same persistence, using
-    only the 1-skeletons of a simplicial complex.
-    The reduction is exact and the persistence homology of the reduced sequence is identical to the persistence
-    homology of the input sequence. The resulting method is simple and extremely efficient.
-
-    Computation of edge collapse and persistent homology of a filtered flag complex via edge collapse as described in
-    \cite edgecollapsesocg2020.
+    Witness complex \f$ Wit(W,L) \f$  is a simplicial complex defined on two sets of points in \f$\mathbb{R}^D\f$.
+    The data structure is described in \cite boissonnatmariasimplextreealgorithmica .
     </td>
     <td width="15%">
-      <b>Author:</b> Siddharth Pritam<br>
-      <b>Introduced in:</b> GUDHI 2.4.0<br>
-      <b>Copyright:</b> MIT<br>
-      <b>Requires:</b> \ref eigen
+      <b>Author:</b> Siargey Kachanovich<br>
+      <b>Introduced in:</b> GUDHI 1.3.0<br>
+      <b>Copyright:</b> MIT ([GPL v3](../../licensing/) for Euclidean version)<br>
+      <b>Euclidean version requires:</b> \ref eigen &ge; 3.1.0 and \ref cgal &ge; 4.11.0
     </td>
  </tr>
  <tr>
     <td colspan=2 height="25">
-    <b>User manual:</b> \ref edge_collapse
+    <b>User manual:</b> \ref witness_complex
     </td>
  </tr>
 </table>