The Structure of Isomorphic Digraph from Powers Modulo pe
For positive integers n and k, let G(n,k) denote the digraph whose set of vertices is {0,1,2,…,n-1} and there is a directed edge from a to b if ak≡b (mod n). It is great value to consider conditions of G(p,k1)≃G(p,k2). In this paper, we obtain necessary and sufficient conditions for G(n,k1)≃G(n,k2)...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2018/9304645 |
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| _version_ | 1832558680472551424 |
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| author | Jinxing Zhao Guixin Deng Tiejun Liu |
| author_facet | Jinxing Zhao Guixin Deng Tiejun Liu |
| author_sort | Jinxing Zhao |
| collection | DOAJ |
| description | For positive integers n and k, let G(n,k) denote the digraph whose set of vertices is {0,1,2,…,n-1} and there is a directed edge from a to b if ak≡b (mod n). It is great value to consider conditions of G(p,k1)≃G(p,k2). In this paper, we obtain necessary and sufficient conditions for G(n,k1)≃G(n,k2) when n=pe. |
| format | Article |
| id | doaj-art-b101978142314a5f98d386197a7cedb9 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b101978142314a5f98d386197a7cedb92025-02-03T01:31:51ZengWileyJournal of Mathematics2314-46292314-47852018-01-01201810.1155/2018/93046459304645The Structure of Isomorphic Digraph from Powers Modulo peJinxing Zhao0Guixin Deng1Tiejun Liu2School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaCollege of Mathematics and Statistics, Guangxi Teachers Education University, Nanning 530023, ChinaInstitute of Water Resources for Pastoral Ministry of Water Resources, Hohhot 010020, ChinaFor positive integers n and k, let G(n,k) denote the digraph whose set of vertices is {0,1,2,…,n-1} and there is a directed edge from a to b if ak≡b (mod n). It is great value to consider conditions of G(p,k1)≃G(p,k2). In this paper, we obtain necessary and sufficient conditions for G(n,k1)≃G(n,k2) when n=pe.http://dx.doi.org/10.1155/2018/9304645 |
| spellingShingle | Jinxing Zhao Guixin Deng Tiejun Liu The Structure of Isomorphic Digraph from Powers Modulo pe Journal of Mathematics |
| title | The Structure of Isomorphic Digraph from Powers Modulo pe |
| title_full | The Structure of Isomorphic Digraph from Powers Modulo pe |
| title_fullStr | The Structure of Isomorphic Digraph from Powers Modulo pe |
| title_full_unstemmed | The Structure of Isomorphic Digraph from Powers Modulo pe |
| title_short | The Structure of Isomorphic Digraph from Powers Modulo pe |
| title_sort | structure of isomorphic digraph from powers modulo pe |
| url | http://dx.doi.org/10.1155/2018/9304645 |
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