International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 3, Pages 503-510
doi:10.1155/S0161171294000748
Characteristic polynomials of some weighted graph bundles and its application to links
Moo Young Sohn1
and Jaeun Lee2
1Department of Mathematics, Changwon University, Changwon 641-773, Korea
2Department of Mathematics, Kyungpook National University, Taegu 702-701, Korea
Abstract
In this paper, we introduce weighted graph bundles and study their characteristic polynomial. In particular, we show that the characteristic polynomial of a weighted K2(K¯2)-bundles over a weighted graph Γω can be expressed as a product of characteristic polynomials two weighted graphs whose underlying graphs are Γ As an application, we compute the signature of a link whose corresponding weighted graph is a double covering of that of a given link.