X-Git-Url: http://mj.ucw.cz/gitweb/?a=blobdiff_plain;f=PLAN;h=51732fb331fc7803759ef613346fbaae697aedb1;hb=ffb37804836177acfd7636b71724fd2fe732a295;hp=4b0f217d4fd43ee7b53e7e30a146481812daf37f;hpb=880e8c60b2fb331131d34c4fa9a8873ef5b08205;p=saga.git diff --git a/PLAN b/PLAN index 4b0f217..51732fb 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 @@ -43,73 +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} -- \cite{pettie:onlineverify} online lower bound -- 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 -- random sampling (propp:randommst) +Applications: + - degree-restricted cases and arborescences - bounded expansion classes? -- mention matroids - -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 -- 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: -- 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 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: - -- 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 -- unify { x ; ... }, { x | ...} and { x : ... } -- capitalize Pointer Machine -- Ackermann: which of the Tarjan's set union papers should we cite? -- Ackermann function vs. Ackermann's function - -Varia: +Typography: -- cite GA booklet -- minimize the use of Remarks, use \paran instead - formatting of multi-line \algin, \algout -- each chapter should make clear in which model we work