Sunset over the Cathedral

The Cathedral and the Bazaar

Permission is granted to copy, distribute and/or modify this document under the terms of the Open Publication License, version 2.0. $Date: 2002/08/02 09:02:14 $ Revision History Revision 1.57 11 September 2000 esr New major section “How Many Eyeballs Tame Complexity”. Revision 1.52 28 August 2000 esr MATLAB is a reinforcing parallel to Emacs. Corbatoó & Vyssotsky got it in 1965. Revision 1.51 2...

Mathematics at Chartres Cathedral

Having had several opportunities to travel to France, often with groups of students, our trips have usually included a visit to Chartres, especially to visit the magnificent Gothic cathedral that dominates the town. On a recent visit I was again struck by the beauty, majesty and awe that the cathedral inspires. The building not only does a remarkable job of telling Biblical stories and of enclo...

The Third Proof of Lovász's Cathedral Theorem

This paper is on matching theory. A graph with perfect matching is called saturated if any addition of one complement edge creates a new perfect matching. Lovász gave a characterization of the saturated graphs called the cathedral theorem, and later Szigeti gave another proof. In this paper, we gave a new proof with our preceding works, which revealed the canonical structure of general graph wi...

An Eclipse before Sunset

Mountain Village at Sunset.

During my travels to numerous countries over 40 years, I have seen many picturesque mountain villages with elegant and well-preserved houses perched on carefully selected sites on the mountains, and others located by a river or lake at the foot of a mountain. They appear remarkably harmonious with the natural scenery. Fruit trees or tea trees and crops such as rice, wheat, and corn are planted ...