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On the existence of even and k-divisible-matchings
(2008-09-09)
The concept of an an even matching was first introduced by Billington and Hoffman.
They were used to find gregarious 4-cycle decompositions of $K_{8t(a),b}$ with a and b odd.
Their paper contains even matchings of type ...
On the role of 1-LC and semi 1-LC properties in determining the fundamental group of a one point union of spaces
(2008-09-09)
Concerning the fundamental group of spaces written as a union of two topological
spaces, the result by Seifert and van Kampen is well known and frequently
used. Over the years there have been various theorems published ...