X-Git-Url: http://mj.ucw.cz/gitweb/?a=blobdiff_plain;f=PLAN;h=41930d069e731a846e0d6faa45c951c313c4d0e4;hb=6d21ffb3141e1b934fbe4895e58b9b977616b245;hp=04d7887c30cd916566bf0bd31ca7e1fb57f01334;hpb=bf6ba465dda1426184f98e260be0e87e2b3dced8;p=saga.git diff --git a/PLAN b/PLAN index 04d7887..41930d0 100644 --- a/PLAN +++ b/PLAN @@ -48,45 +48,29 @@ TODO: +Preface: + +- move TOC to the beginning of the book +- mention notation +- cite GA booklet + 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 +- 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 -- random sampling (propp:randommst) - 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 - -Dynamic: - -- What is the origin of the semidynamic MSF? -- lower bounds +- finding all MST's Ranking: @@ -95,25 +79,29 @@ 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: +- 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 -- 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 +- use calligraphic letters from ams? + +Global: + +- each chapter should make clear in which model we work +- clean up bibliography + +Pictures: + +- structure of a Q-heap