X-Git-Url: http://mj.ucw.cz/gitweb/?a=blobdiff_plain;f=PLAN;h=900e7bd72a4bafd6b3414297ceb6c5e70feb6b0c;hb=6659c33a805c0e22c969a45480c068d5d7ddf471;hp=2c44db977b18690b71462343a8195a71b1ea6c3d;hpb=12e0112fbab389a8aa78abbfedb763afe0e27f1d;p=saga.git diff --git a/PLAN b/PLAN index 2c44db9..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 @@ -43,42 +44,13 @@ 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 -- use the name "Boruvka step" - -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: - -- bit tricks: reference to HAKMEM -- add more context from thorup:aczero, also mention FP operations -- Tarjan79 is mentioned by Pettie to define Pointer machines -- add references to the C language -- PM: unify yardsticks -- all data structures should mention space complexity Ranking: @@ -90,22 +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: - -- 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: -- Intro: cite GA booklet - each chapter should make clear in which model we work - clean up bibliography +- intro: \log is binary