This webpage offers a set of online tools for dealing with
isoperimetric-type problems on graphs and posets.

In the future, I plan to implement more graph and poset
algorithms related to my current interests.

To run these tools, you have to have Java version 1.5 or later
installed on your computer. Your browser has to report a MIME type of
**application/x-java-jnlp-file** for files with extension **jnlp**
(JNLP is a short for Java Network Launch Protocol). Usually, the browser
is automatically configured for JNLP in case the Sun JRE is installed.
You can check/configure the browser by assigning the **javaws**
application (a part of JRE) with the file type
**application/x-java-jnlp-file**.

All your comments, suggestions, and reports on problems with these tools
will be greatly appreciated.

You can email me them at
sb@mcs.uwsuper.edu.

- Gallery of posets
- Display the Hasse diagram
- The Maximum Weight/Rank Ideal Problem (MWI/MRI)
- Shadows in the
*n*-cube - Poset Test for Macaulayness
^{(1)}

- Display a graph defined by the ball sequence and its adjacency list
- Display the cartesian product of graphs defined by the ball sequences
- Generating symmetric ball-sequences
- Compute the ball size
- The Vertex Isoperimetric Problem (VIP)
- The Edge Isoperimetric Problem (EIP)

- A Mathematica Package for Studying Posets (by Curtis Greene, Eugenie Hunsicker)
- The posets Package (by John Stembridge)
- Lattice Drawing (by Ralph Freese)
- Interactive Poset and Lattice Drawing Java Applet (by Peter Jipsen)
- Online Java Lattice Building Application for Concept Lattices (JaLaBA)
- Posets (by Kevin Gilbert)
- The wizard of COS (Combinatorial Object Server) (by Frank Ruskey)

^{(1)} A part of a Student Project with Aqila Dissanayake,
2005.

^{(2)} Design of these graph tools was partially supported in 2003
by:

Spanish Ministry of Science and Technology under project BFM2002-00412

and the Catalan Research Council under project SGR00258.

Last modified: Tue, Jul 25, 2006.