The complete product of annihilatingly unique digraphs
Let G be a digraph with n vertices and let A(G) be its adjacency matrix. A monic polynomial f(x) of degree at most n is called an annihilating polynomial of G if f(A(G))=0. G is said to be annihilatingly unique if it possesses a unique annihilating polynomial. Difans and diwheels are two classes of...
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1327 |
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| _version_ | 1832551920144744448 |
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| author | C. S. GAN |
| author_facet | C. S. GAN |
| author_sort | C. S. GAN |
| collection | DOAJ |
| description | Let G be a digraph with n vertices and let A(G) be its
adjacency matrix. A monic polynomial f(x) of degree at most n is called an annihilating polynomial of G if f(A(G))=0. G is said to be annihilatingly unique if it possesses a unique
annihilating polynomial. Difans and diwheels are two classes of
annihilatingly unique digraphs. In this paper, it is shown that
the complete product of difan and diwheel is annihilatingly unique. |
| format | Article |
| id | doaj-art-fabac9705a2e48708c1332425902ad71 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fabac9705a2e48708c1332425902ad712025-02-03T06:00:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-01200591327133110.1155/IJMMS.2005.1327The complete product of annihilatingly unique digraphsC. S. GAN0Faculty of Engineering and Technology, Multimedia University, Malacca 75450, MalaysiaLet G be a digraph with n vertices and let A(G) be its adjacency matrix. A monic polynomial f(x) of degree at most n is called an annihilating polynomial of G if f(A(G))=0. G is said to be annihilatingly unique if it possesses a unique annihilating polynomial. Difans and diwheels are two classes of annihilatingly unique digraphs. In this paper, it is shown that the complete product of difan and diwheel is annihilatingly unique.http://dx.doi.org/10.1155/IJMMS.2005.1327 |
| spellingShingle | C. S. GAN The complete product of annihilatingly unique digraphs International Journal of Mathematics and Mathematical Sciences |
| title | The complete product of annihilatingly unique digraphs |
| title_full | The complete product of annihilatingly unique digraphs |
| title_fullStr | The complete product of annihilatingly unique digraphs |
| title_full_unstemmed | The complete product of annihilatingly unique digraphs |
| title_short | The complete product of annihilatingly unique digraphs |
| title_sort | complete product of annihilatingly unique digraphs |
| url | http://dx.doi.org/10.1155/IJMMS.2005.1327 |
| work_keys_str_mv | AT csgan thecompleteproductofannihilatinglyuniquedigraphs AT csgan completeproductofannihilatinglyuniquedigraphs |