Abstract: Minor improvements.

[saga.git] / PLAN

diff --git a/PLAN b/PLAN
index e333a50b7a908bcf5726d16c8f02e9f4ed7d4d0b..51732fb331fc7803759ef613346fbaae697aedb1 100644 (file)
--- a/PLAN
+++ b/PLAN
@@ -35,6 +35,7 @@
   o  ET-trees
   o  Fully dynamic connectivity
   o  Dynamic MST
+  o  Almost minimum trees
 
 *  Ranking Combinatorial Objects
 
@@ -43,64 +44,22 @@
   o  Ranking of k-permutations
   o  Restricted permutations
   o  Hatcheck lady and other derangements
-  .  ?? other objects ??
-  .  ?? general perspective ??
 
 TODO:
 
-Spanning trees:
-
-- cite Eisner's tutorial \cite{eisner:tutorial}
-- move the remark on disconnected graphs? separate section?
-- mention graphs with non-unique weights? also in the separate section?
-- Some algorithms (most notably Fredman-Tarjan) do not need flattening
-- citation of mixed Boruvka-Jarnik
-- use the notation for contraction by a set
-- mention bugs in Valeria's verification paper
-- more references on decision trees
-- rename theorem on Minimality by order
-- introduce Cut rule and Cycle rule earlier
-- Lemma: deletion of a non-MST edge does not alter the MST
-
-Related:
-- practical considerations: katriel:cycle, moret:practice (mention pairing heaps)
-- parallel algorithms: p243-cole (see also remarks in Karger and pettie:minirand), pettie:parallel
-- K best trees
+Applications:
+
 - degree-restricted cases and arborescences
 - bounded expansion classes?
-- mention matroids
-
-Models:
-
-- add references to the C language
-- all data structures should mention space complexity
 
 Ranking:
 
-- the general perspective: is it only a technical trick?
 - ranking of permutations on general sets, relationship with integer sorting
-- JN: explain approx scheme
 - JN: 4.5.1:  neslo by preci isolovat nejaky vlstnosti restriction matrices
   tak aby byl speedup? Staci napr predpokladat 4.5.2 (jako to postulovat)
   co je to vlastne za matice co splnuji 4.5.2
 - JN: bounded-degree restriction graphs; would it imply general speedup?
 
-Notation:
-
-- G has to be connected, so m=O(n)
-- impedance mismatch in terminology: contraction of G along e vs. contraction of e.
-- use \delta(X) notation
-- unify use of n(G) vs. n
-- change the notation for contractions -- use double slash instead of the dot?
-- introduce \widehat\O early
-
 Typography:
 
 - formatting of multi-line \algin, \algout
-- use calligraphic letters from ams?
-
-Global:
-
-- Intro: cite GA booklet
-- each chapter should make clear in which model we work
-- clean up bibliography