Open Problem Garden

5-flow conjecture ★★★★

Author(s): Tutte

Keywords: cubic; nowhere-zero flow

Cores of Cayley graphs ★★

Author(s): Samal

Conjecture   Let be an abelian group. Is the core of a Cayley graph (on some power of ) a Cayley graph (on some power of )?

Keywords: Cayley graph; core

Forums

Coloring

Additive Number Theory

Optimization

Codes

issues

1) niceurl requires change in .htaccess (globally: allow local changes, locally: something like files/change_in.htaccess, basically allow rewrite rules)

2) drutex: math images are somewhat lower than they should be! (maybe use: img.tex { vertical-align: bottom } ??)

(3) CCK/? : checkbox doesn't work right! (acc. for undergraduates) SOLVED -- for some reason, it uses the label of 1 for label for the field, and does 'view' wrongly -- but this is easy to solve in contemplate)

4) biblio/filter does not work (possibly error in some script)!

5) where should OP-template.css go?

To Do List

short-term

design OP-node:
- write template (and back it up) - ALMOST DONE:

login page redirect

middle-term

default search should only search unsolved problems, advanced search should probably be limited as well (for instance, no blog entries, stories)

OP-node - printable version
- theme input form

long-term

drutex:
allows for entering links to html based on \ref, \label in TeX
make \def and \newcommand work!

views: the selected view corresponds to the URL ==> possibility for "clever 2-D navigation"

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