MHenderson / room

A book about Room squares.
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A new chapter structure #116

Closed MHenderson closed 4 months ago

MHenderson commented 7 months ago

Chapters 4 and 6 are just too short and should probably be incorporated into chapters 3 and 5.

Chapter 2 could be replaced with a chapter describing methods of constructing Room squares. We could introduce the naive greedy approach which gives rise to maximal partial Room squares and also move the starter-adder construction to this new chapter.

MHenderson commented 5 months ago

Summat like this:

  1. Preliminaries: graphs, BIBDs
  2. Introduction
  3. Starters, adders and cyclic Room squares
  4. Strong starters (inc. Mullin-Nemeth)
  5. The trouble with Fermat numbers?
  6. Multiplication of Room squares
  7. An existence theorem for Room squares
  8. Balanced Room squares
  9. Complete balanced Room squares
  10. Multiplication of balanced Room squares.
  11. A graph theoretic approach
  12. Hill-climbing algorithm
MHenderson commented 5 months ago

First do #164