Characteristic polynomials of some weighted graph bundles and its application to links
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 G? can be expressed as a product of characteristic polynomials two weighted graphs whose underly...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171294000748 |
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| _version_ | 1849415155872432128 |
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| author | Moo Young Sohn Jaeun Lee |
| author_facet | Moo Young Sohn Jaeun Lee |
| author_sort | Moo Young Sohn |
| collection | DOAJ |
| description | 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 G? can be expressed as a product of characteristic polynomials two weighted graphs whose underlying graphs are G As an application, we compute the signature of a link whose corresponding weighted graph is a double covering of that of a given link. |
| format | Article |
| id | doaj-art-57f6dd1283cc4814a329ce9a1da0dcf7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-57f6dd1283cc4814a329ce9a1da0dcf72025-08-20T03:33:37ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117350351010.1155/S0161171294000748Characteristic polynomials of some weighted graph bundles and its application to linksMoo Young Sohn0Jaeun Lee1Department of Mathematics, Changwon University, Changwon 641-773, KoreaDepartment of Mathematics, Kyungpook National University, Taegu 702-701, KoreaIn 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 G? can be expressed as a product of characteristic polynomials two weighted graphs whose underlying graphs are G As an application, we compute the signature of a link whose corresponding weighted graph is a double covering of that of a given link.http://dx.doi.org/10.1155/S0161171294000748graphsweighted graphsgraph bundlescharacteristic polynomialslinkssignature. |
| spellingShingle | Moo Young Sohn Jaeun Lee Characteristic polynomials of some weighted graph bundles and its application to links International Journal of Mathematics and Mathematical Sciences graphs weighted graphs graph bundles characteristic polynomials links signature. |
| title | Characteristic polynomials of some weighted graph bundles and its application to links |
| title_full | Characteristic polynomials of some weighted graph bundles and its application to links |
| title_fullStr | Characteristic polynomials of some weighted graph bundles and its application to links |
| title_full_unstemmed | Characteristic polynomials of some weighted graph bundles and its application to links |
| title_short | Characteristic polynomials of some weighted graph bundles and its application to links |
| title_sort | characteristic polynomials of some weighted graph bundles and its application to links |
| topic | graphs weighted graphs graph bundles characteristic polynomials links signature. |
| url | http://dx.doi.org/10.1155/S0161171294000748 |
| work_keys_str_mv | AT mooyoungsohn characteristicpolynomialsofsomeweightedgraphbundlesanditsapplicationtolinks AT jaeunlee characteristicpolynomialsofsomeweightedgraphbundlesanditsapplicationtolinks |