On Characteristic Polynomial of Antiadjacency Matrix of A Line Digraph
In this paper, we find the characteristic polynomial of the antiadjacency matrix of a line digraph. There are recent studies on the relation between the characteristic polynomial of the adjacency matrix and its line digraph, we are also interested in finding the connection between the antiadjacency...
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| Format: | Article |
| Language: | English |
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Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Andalas
2022-04-01
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| Series: | Jurnal Matematika UNAND |
| Online Access: | https://jmua.fmipa.unand.ac.id/index.php/jmua/article/view/934 |
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| author | Muhammad Irfan Arsyad Prayitno Kiki Ariyanti Sugeng |
| author_facet | Muhammad Irfan Arsyad Prayitno Kiki Ariyanti Sugeng |
| author_sort | Muhammad Irfan Arsyad Prayitno |
| collection | DOAJ |
| description | In this paper, we find the characteristic polynomial of the antiadjacency matrix of a line digraph. There are recent studies on the relation between the characteristic polynomial of the adjacency matrix and its line digraph, we are also interested in finding the connection between the antiadjacency matrix of a digraph and its line digraph. In this paper, we show the connection of characteristic polynomial of the antiadjacency matrix between an acyclic digraph and its line digraph. |
| format | Article |
| id | doaj-art-4e3378bb7c1e4eb2a2817ed56d0f0f94 |
| institution | OA Journals |
| issn | 2303-291X 2721-9410 |
| language | English |
| publishDate | 2022-04-01 |
| publisher | Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Andalas |
| record_format | Article |
| series | Jurnal Matematika UNAND |
| spelling | doaj-art-4e3378bb7c1e4eb2a2817ed56d0f0f942025-08-20T02:12:34ZengDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas AndalasJurnal Matematika UNAND2303-291X2721-94102022-04-01111748110.25077/jmu.11.1.74-81.2022683On Characteristic Polynomial of Antiadjacency Matrix of A Line DigraphMuhammad Irfan Arsyad Prayitno0Kiki Ariyanti Sugeng1Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, University of IndonesiaIn this paper, we find the characteristic polynomial of the antiadjacency matrix of a line digraph. There are recent studies on the relation between the characteristic polynomial of the adjacency matrix and its line digraph, we are also interested in finding the connection between the antiadjacency matrix of a digraph and its line digraph. In this paper, we show the connection of characteristic polynomial of the antiadjacency matrix between an acyclic digraph and its line digraph.https://jmua.fmipa.unand.ac.id/index.php/jmua/article/view/934 |
| spellingShingle | Muhammad Irfan Arsyad Prayitno Kiki Ariyanti Sugeng On Characteristic Polynomial of Antiadjacency Matrix of A Line Digraph Jurnal Matematika UNAND |
| title | On Characteristic Polynomial of Antiadjacency Matrix of A Line Digraph |
| title_full | On Characteristic Polynomial of Antiadjacency Matrix of A Line Digraph |
| title_fullStr | On Characteristic Polynomial of Antiadjacency Matrix of A Line Digraph |
| title_full_unstemmed | On Characteristic Polynomial of Antiadjacency Matrix of A Line Digraph |
| title_short | On Characteristic Polynomial of Antiadjacency Matrix of A Line Digraph |
| title_sort | on characteristic polynomial of antiadjacency matrix of a line digraph |
| url | https://jmua.fmipa.unand.ac.id/index.php/jmua/article/view/934 |
| work_keys_str_mv | AT muhammadirfanarsyadprayitno oncharacteristicpolynomialofantiadjacencymatrixofalinedigraph AT kikiariyantisugeng oncharacteristicpolynomialofantiadjacencymatrixofalinedigraph |