From 983883b97bce45568210b5e32709281d8ada011d Mon Sep 17 00:00:00 2001 From: Martin Mares Date: Wed, 23 Apr 2008 11:17:29 +0200 Subject: [PATCH] Finished prolog. --- notation.tex | 2 +- pref.tex | 16 +++++++++++++++- 2 files changed, 16 insertions(+), 2 deletions(-) diff --git a/notation.tex b/notation.tex index 7c12dcd..e1e424f 100644 --- a/notation.tex +++ b/notation.tex @@ -2,7 +2,7 @@ \input macros.tex \fi -\chapter{Notation} +\chapter{Notation}\id{notapp}% \section{Symbols} diff --git a/pref.tex b/pref.tex index b5570f9..3bbbf26 100644 --- a/pref.tex +++ b/pref.tex @@ -71,7 +71,7 @@ at the Rutgers University (especially to J\'anos Koml\'os) where I~spent several pleasant months working on what finally become a~part of this thesis. I~also thank to my family for supporting me during the plentiful years of my study, -to my girlfriend Ani\v{c}ka for lots of patience when I~was caught by my work and +to my girlfriend Ani\v{c}ka for lots of patience when I~was caught up by my work and hardly speaking, to all the polar bears of Kobylisy for their furry presence, and finally to our cats Minuta and Dami\'an for their mastership in hiding my papers, which has frequently forced me to think of new ways of looking at problems @@ -79,6 +79,20 @@ when the old ones were impossible to find. \ss{Notation} +I~have tried to stick to the usual notation except where it was too inconvenient. +Most symbols are defined at the place where they are used for the first time. +A~complete index of symbols with pointers to their definitions is then available +in Appendix~\ref{notapp}. This appendix also describes the formalism of +multigraphs and of the Ackermann's function, both of which are not defined +consistently in the common literature. + +To avoid piling up too many symbols at places that speak about a~single fixed graph, +this graph is always called~$G$, its set of vertices and edges are denoted by $V$ +and~$E$ respectively, and I~also use~$n$ for the number of its vertices and $m$~for +the number of edges. At places where there is a~danger of confusion, the usual explicit notation +is used instead. + + \bigskip So, my gentle reader, let us nestle deep in an~ancient wing armchair. The saga of the -- 2.39.2