About the number of maximal subsystems in S(2,4,v)
<p><span style="font-family: DejaVu Sans,sans-serif;"><span style="font-style: normal;">It's of great interest, to find systems </span><em>S</em><span style="font-style: normal;">(2,4,</span><em>v</em><...
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
1993-11-01
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| Series: | Le Matematiche |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/558 |
| _version_ | 1819231825729421312 |
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| author | Herbert Zeitler |
| author_facet | Herbert Zeitler |
| author_sort | Herbert Zeitler |
| collection | DOAJ |
| description | <p><span style="font-family: DejaVu Sans,sans-serif;"><span style="font-style: normal;">It's of great interest, to find systems </span><em>S</em><span style="font-style: normal;">(2,4,</span><em>v</em><span style="font-style: normal;">) with subsystems </span><em>S</em><span style="font-style: normal;">(2,4,</span><em>r=</em><span style="font-style: normal;">1/3(</span><em>v</em><span style="font-style: normal;">-1)) – known as maximal subsystems. Up to now there exist only a few results – mainly due to Resmini and Shen.</span></span></p> <p style="font-style: normal;"><span style="font-family: DejaVu Sans,sans-serif;">In this paper we prove a new partial result:</span></p> <p><span style="font-family: DejaVu Sans,sans-serif;"><span style="font-style: normal;">Exactly for all </span><em>v</em>∊<span style="font-style: normal;">{121,40}</span><em>+</em><span style="font-style: normal;">108</span><span style="font-style: normal;"><strong>N</strong></span> <span style="font-style: normal;"><span>there exists a system</span></span> <em><span>S</span></em><span style="font-style: normal;"><span>(2,4,</span></span><em><span>v</span></em><span style="font-style: normal;"><span>) with exactly two, but also a system with exactly four maximal subsystems.</span></span></span></p> |
| first_indexed | 2024-12-23T11:51:07Z |
| format | Article |
| id | doaj.art-193bcf9d84174b78b9a19ea4dc9b7f38 |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-23T11:51:07Z |
| publishDate | 1993-11-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-193bcf9d84174b78b9a19ea4dc9b7f382022-12-21T17:48:12ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981993-11-01482235251525About the number of maximal subsystems in S(2,4,v)Herbert Zeitler<p><span style="font-family: DejaVu Sans,sans-serif;"><span style="font-style: normal;">It's of great interest, to find systems </span><em>S</em><span style="font-style: normal;">(2,4,</span><em>v</em><span style="font-style: normal;">) with subsystems </span><em>S</em><span style="font-style: normal;">(2,4,</span><em>r=</em><span style="font-style: normal;">1/3(</span><em>v</em><span style="font-style: normal;">-1)) – known as maximal subsystems. Up to now there exist only a few results – mainly due to Resmini and Shen.</span></span></p> <p style="font-style: normal;"><span style="font-family: DejaVu Sans,sans-serif;">In this paper we prove a new partial result:</span></p> <p><span style="font-family: DejaVu Sans,sans-serif;"><span style="font-style: normal;">Exactly for all </span><em>v</em>∊<span style="font-style: normal;">{121,40}</span><em>+</em><span style="font-style: normal;">108</span><span style="font-style: normal;"><strong>N</strong></span> <span style="font-style: normal;"><span>there exists a system</span></span> <em><span>S</span></em><span style="font-style: normal;"><span>(2,4,</span></span><em><span>v</span></em><span style="font-style: normal;"><span>) with exactly two, but also a system with exactly four maximal subsystems.</span></span></span></p>http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/558 |
| spellingShingle | Herbert Zeitler About the number of maximal subsystems in S(2,4,v) Le Matematiche |
| title | About the number of maximal subsystems in S(2,4,v) |
| title_full | About the number of maximal subsystems in S(2,4,v) |
| title_fullStr | About the number of maximal subsystems in S(2,4,v) |
| title_full_unstemmed | About the number of maximal subsystems in S(2,4,v) |
| title_short | About the number of maximal subsystems in S(2,4,v) |
| title_sort | about the number of maximal subsystems in s 2 4 v |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/558 |
| work_keys_str_mv | AT herbertzeitler aboutthenumberofmaximalsubsystemsins24v |