Final typesetting: Chapters 1 and 2.

[saga.git] / PLAN

diff --git a/PLAN b/PLAN
index f1481d7e6d779201161ba5bff47c40abfd6ab53b..c8a1a60b3724ecbc71ea1d0a8aafd0536e192d64 100644 (file)
--- a/PLAN
+++ b/PLAN
@@ -26,8 +26,16 @@
 
   o  Soft heaps
   o  Robust contractions
-  .  An optimal algorithm
-  .  Decision trees
+  o  Decision trees
+  o  An optimal algorithm
+
+*  Dynamic MST algorithms
+
+  o  (Semi-)dynamic algorithms
+  o  ET-trees
+  o  Fully dynamic connectivity
+  o  Dynamic MST
+  o  Almost minimum trees
 
 *  Ranking Combinatorial Objects
 
@@ -36,48 +44,13 @@
   o  Ranking of k-permutations
   o  Restricted permutations
   o  Hatcheck lady and other derangements
-  .  ?? other objects ??
-  .  ?? general perspective ??
-
-*  Dynamic MST algorithms
-
-  .  (Semi-)dynamic algorithms
-  .  Sleator-Tarjan trees
-  .  ET-trees
-  .  Fully dynamic connectivity
-  .  Semi-dynamic MST
-  .  Fully dynamic MST
 
 TODO:
 
-Spanning trees:
-
-- cite Eisner's tutorial \cite{eisner:tutorial}
-- \cite{pettie:onlineverify} online lower bound
-- mention matroids
-- move the remark on disconnected graphs? separate section?
-- Some algorithms (most notably Fredman-Tarjan) do not need flattening
-- reference to mixed Boruvka-Jarnik
-- use the notation for contraction by a set
-- practical considerations: katriel:cycle, moret:practice (mention pairing heaps)
-- parallel algorithms: p243-cole (see also remarks in Karger and pettie:minirand), pettie:parallel
-- bounded expansion classes?
+Applications:
+
 - degree-restricted cases and arborescences
-- Pettie's paper on random bits (pettie:minirand)
-- random sampling (propp:randommst)
-- mention bugs in Valeria's verification paper
-- Pettie's optimal algorithm runs in average linear time
-- add references to other applications of decomposition
-
-Models:
-
-- bit tricks: reference to HAKMEM
-- mention in-place radix-sorting?
-- consequences of Q-Heaps: Thorup's undirected SSSP etc.
-- add more context from thorup:aczero, also mention FP operations
-- expand the section on radix-sorting, mention Buchsbaum
-- move Q-Heaps to the chapter on the MST's?
-- Tarjan79 is claimed by Pettie to define Pointer machines
+- bounded expansion classes?
 
 Ranking:
 
@@ -86,19 +59,14 @@ Ranking:
 - 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 vlstne za matice co splnuji 4.5.2
+  co je to vlastne za matice co splnuji 4.5.2
 - JN: bounded-degree restriction graphs; would it imply general speedup?
 
-Notation:
+Typography:
 
-- 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
-- use calligraphic letters from ams?
-- change the notation for contractions -- use double slash instead of the dot?
-- introduce \widehat\O early
+* formatting of multi-line \algin, \algout
 
-Varia:
+Global:
 
-- cite GA booklet
+- each chapter should make clear in which model we work
+- intro: \log is binary