X-Git-Url: http://mj.ucw.cz/gitweb/?a=blobdiff_plain;f=PLAN;h=51732fb331fc7803759ef613346fbaae697aedb1;hb=ffb37804836177acfd7636b71724fd2fe732a295;hp=6ee8b132f5d734f243ceafbecd12d8ffd3f88207;hpb=88938d05d7e5c24c276fbdb7ca584e4fa7c98d96;p=saga.git diff --git a/PLAN b/PLAN index 6ee8b13..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 @@ -43,58 +44,22 @@ o Ranking of k-permutations o Restricted permutations o Hatcheck lady and other derangements - . ?? other objects ?? - . ?? general perspective ?? TODO: -Preface: +Applications: -- mention notation -- cite GA booklet -- mention bugs in Valeria's verification paper - -- G has to be connected, so m=O(n) - -Spanning trees: - -- cite Eisner's tutorial \cite{eisner:tutorial} -- Some algorithms (most notably Fredman-Tarjan) do not need flattening -* Lemma: deletion of a non-MST edge does not alter the MST - -Related: -- K best trees - degree-restricted cases and arborescences - bounded expansion classes? -- finding all MST's 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 vlastne za matice co splnuji 4.5.2 - JN: bounded-degree restriction graphs; would it imply general speedup? -Notation: - -- use \delta(X) notation -- use the notation for contraction by a set -- unify use of n(G) vs. n -- introduce \widehat\O early - Typography: -* 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 +- formatting of multi-line \algin, \algout