X-Git-Url: http://mj.ucw.cz/gitweb/?a=blobdiff_plain;f=PLAN;h=900e7bd72a4bafd6b3414297ceb6c5e70feb6b0c;hb=6659c33a805c0e22c969a45480c068d5d7ddf471;hp=643251f35ec4d5cce9216acf832daf3be71d4550;hpb=6f68c3cceeba460fe5bb689bbdecfe111b992db0;p=saga.git diff --git a/PLAN b/PLAN index 643251f..900e7bd 100644 --- 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 @@ -43,34 +44,13 @@ o Ranking of k-permutations o Restricted permutations o Hatcheck lady and other derangements - . ?? other objects ?? - . ?? general perspective ?? TODO: -Preface: +Applications: -- move TOC to the beginning of the book -- mention notation -- cite GA booklet - -Spanning trees: - -- cite Eisner's tutorial \cite{eisner:tutorial} -- Some algorithms (most notably Fredman-Tarjan) do not need flattening -- use the notation for contraction by a set -- mention bugs in Valeria's verification paper -- more references on decision trees -- Lemma: deletion of a non-MST edge does not alter the MST -- mention that there are only a few algorithms based on the Red rule - -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 - degree-restricted cases and arborescences - bounded expansion classes? -- finding all MST's Ranking: @@ -82,22 +62,12 @@ Ranking: co je to vlastne za matice co splnuji 4.5.2 - JN: bounded-degree restriction graphs; would it imply general speedup? -Notation: - -- sort the table -- 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? +* formatting of multi-line \algin, \algout Global: - each chapter should make clear in which model we work - clean up bibliography +- intro: \log is binary