From 11b1de2771b060fb286bf428ac081c07ff73e8ec Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Fri, 16 Nov 2018 08:20:00 +0000 Subject: Doc review : Gamma_0 instead of gamma_0 to be like in the paper toplices is the plural form of toplex (not a set of toplex) git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/toplex_map@3984 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 4cfeebffcbf9006fd98bbf32a8dbd9eb683c9bf5 --- src/Toplex_map/doc/Intro_Toplex_map.h | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) (limited to 'src/Toplex_map') diff --git a/src/Toplex_map/doc/Intro_Toplex_map.h b/src/Toplex_map/doc/Intro_Toplex_map.h index 649c27f9..0cfbae03 100644 --- a/src/Toplex_map/doc/Intro_Toplex_map.h +++ b/src/Toplex_map/doc/Intro_Toplex_map.h @@ -34,15 +34,15 @@ namespace Gudhi { * \section toplexmapdefinition Definition * * A Toplex_map is a data structure to represent and store a simplicial complex. A "toplex" is the contraction of - * "top-simplex", also known as a maximal simplex. We will call "toplices" a set of "toplex". + * "top-simplex", also known as a maximal simplex. The plural form of "toplex" will be called "toplices". * * Let's consider a simplicial complex, denote by \f$d\f$ its dimension and by \f$k\f$ its number of maximal simplices. - * Furthermore, denote by \f$\gamma_0\f$ the maximal number of toplices, i.e. maximal simplices, that contain a same + * Furthermore, denote by \f$\Gamma_0\f$ the maximal number of toplices, i.e. maximal simplices, that contain a same * vertex. * * The goal of the Toplex Map is both to represent the complex in optimal O(kd) space and to provide fast standard * operations such as : insertion, removal, contraction of an edge, collapses and membership of a simplex. The time - * needed for these operation is linear or quadratic in \f$\gamma_0\f$ and \f$d\f$. + * needed for these operation is linear or quadratic in \f$\Gamma_0\f$ and \f$d\f$. * * Toplex map is composed firstly of a raw storage of toplices and secondly of a map which associate any vertex to a * set of pointers toward all toplices containing this vertex. -- cgit v1.2.3