Academic Journal
On Vertex-Uniprimitive Non-Cayley Graphs of Order pq
| العنوان: | On Vertex-Uniprimitive Non-Cayley Graphs of Order pq |
|---|---|
| المؤلفون: | Mohammad Ali Iranmanesh |
| المصدر: | Mathematics Interdisciplinary Research, Vol 5, Iss 4, Pp 315-319 (2020) |
| بيانات النشر: | University of Kashan, 2020. |
| سنة النشر: | 2020 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | uniprimitive group, non-cayley graph, socle, Mathematics, QA1-939 |
| الوصف: | Let p and q be distinct odd primes. Let Γ = (V (Γ),E(Γ)) be a non-Cayley vertex-transitive graph of order pq. Let G ≤ Aut(Γ) acts primitively on the vertex set V (Γ). In this paper, we show that G is uniprimitive which is primitive but not 2-transitive and we obtain some information about p,q and the minimality of the Socle T = Soc(G) |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2476-4965 |
| Relation: | https://mir.kashanu.ac.ir/article_110819_2f9cf57410bdcf1a32da73d1f6251cb4.pdf; https://doaj.org/toc/2476-4965 |
| DOI: | 10.22052/mir.2020.240329.1249 |
| URL الوصول: | https://doaj.org/article/8635185ac32f4e1ab4030124494f0b2f |
| رقم الانضمام: | edsdoj.8635185ac32f4e1ab4030124494f0b2f |
| قاعدة البيانات: | Directory of Open Access Journals |
| ResultId |
1 |
|---|---|
| Header |
edsdoj Directory of Open Access Journals edsdoj.8635185ac32f4e1ab4030124494f0b2f 943 3 Academic Journal academicJournal 942.762634277344 |
| PLink |
https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&scope=site&db=edsdoj&AN=edsdoj.8635185ac32f4e1ab4030124494f0b2f&custid=s6537998&authtype=sso |
| FullText |
Array
(
[Availability] => 0
)
Array ( [0] => Array ( [Url] => https://doaj.org/article/8635185ac32f4e1ab4030124494f0b2f [Name] => EDS - DOAJ [Category] => fullText [Text] => View record in DOAJ [MouseOverText] => View record in DOAJ ) ) |
| Items |
Array
(
[Name] => Title
[Label] => Title
[Group] => Ti
[Data] => On Vertex-Uniprimitive Non-Cayley Graphs of Order pq
)
Array ( [Name] => Author [Label] => Authors [Group] => Au [Data] => <searchLink fieldCode="AR" term="%22Mohammad+Ali+Iranmanesh%22">Mohammad Ali Iranmanesh</searchLink> ) Array ( [Name] => TitleSource [Label] => Source [Group] => Src [Data] => Mathematics Interdisciplinary Research, Vol 5, Iss 4, Pp 315-319 (2020) ) Array ( [Name] => Publisher [Label] => Publisher Information [Group] => PubInfo [Data] => University of Kashan, 2020. ) Array ( [Name] => DatePubCY [Label] => Publication Year [Group] => Date [Data] => 2020 ) Array ( [Name] => Subset [Label] => Collection [Group] => HoldingsInfo [Data] => LCC:Mathematics ) Array ( [Name] => Subject [Label] => Subject Terms [Group] => Su [Data] => <searchLink fieldCode="DE" term="%22uniprimitive+group%22">uniprimitive group</searchLink><br /><searchLink fieldCode="DE" term="%22non-cayley+graph%22">non-cayley graph</searchLink><br /><searchLink fieldCode="DE" term="%22socle%22">socle</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22QA1-939%22">QA1-939</searchLink> ) Array ( [Name] => Abstract [Label] => Description [Group] => Ab [Data] => Let p and q be distinct odd primes. Let Γ = (V (Γ),E(Γ)) be a non-Cayley vertex-transitive graph of order pq. Let G ≤ Aut(Γ) acts primitively on the vertex set V (Γ). In this paper, we show that G is uniprimitive which is primitive but not 2-transitive and we obtain some information about p,q and the minimality of the Socle T = Soc(G) ) Array ( [Name] => TypeDocument [Label] => Document Type [Group] => TypDoc [Data] => article ) Array ( [Name] => Format [Label] => File Description [Group] => SrcInfo [Data] => electronic resource ) Array ( [Name] => Language [Label] => Language [Group] => Lang [Data] => English ) Array ( [Name] => ISSN [Label] => ISSN [Group] => ISSN [Data] => 2476-4965 ) Array ( [Name] => NoteTitleSource [Label] => Relation [Group] => SrcInfo [Data] => https://mir.kashanu.ac.ir/article_110819_2f9cf57410bdcf1a32da73d1f6251cb4.pdf; https://doaj.org/toc/2476-4965 ) Array ( [Name] => DOI [Label] => DOI [Group] => ID [Data] => 10.22052/mir.2020.240329.1249 ) Array ( [Name] => URL [Label] => Access URL [Group] => URL [Data] => <link linkTarget="URL" linkTerm="https://doaj.org/article/8635185ac32f4e1ab4030124494f0b2f" linkWindow="_blank">https://doaj.org/article/8635185ac32f4e1ab4030124494f0b2f</link> ) Array ( [Name] => AN [Label] => Accession Number [Group] => ID [Data] => edsdoj.8635185ac32f4e1ab4030124494f0b2f ) |
| RecordInfo |
Array
(
[BibEntity] => Array
(
[Identifiers] => Array
(
[0] => Array
(
[Type] => doi
[Value] => 10.22052/mir.2020.240329.1249
)
)
[Languages] => Array
(
[0] => Array
(
[Text] => English
)
)
[PhysicalDescription] => Array
(
[Pagination] => Array
(
[PageCount] => 5
[StartPage] => 315
)
)
[Subjects] => Array
(
[0] => Array
(
[SubjectFull] => uniprimitive group
[Type] => general
)
[1] => Array
(
[SubjectFull] => non-cayley graph
[Type] => general
)
[2] => Array
(
[SubjectFull] => socle
[Type] => general
)
[3] => Array
(
[SubjectFull] => Mathematics
[Type] => general
)
[4] => Array
(
[SubjectFull] => QA1-939
[Type] => general
)
)
[Titles] => Array
(
[0] => Array
(
[TitleFull] => On Vertex-Uniprimitive Non-Cayley Graphs of Order pq
[Type] => main
)
)
)
[BibRelationships] => Array
(
[HasContributorRelationships] => Array
(
[0] => Array
(
[PersonEntity] => Array
(
[Name] => Array
(
[NameFull] => Mohammad Ali Iranmanesh
)
)
)
)
[IsPartOfRelationships] => Array
(
[0] => Array
(
[BibEntity] => Array
(
[Dates] => Array
(
[0] => Array
(
[D] => 01
[M] => 12
[Type] => published
[Y] => 2020
)
)
[Identifiers] => Array
(
[0] => Array
(
[Type] => issn-print
[Value] => 24764965
)
)
[Numbering] => Array
(
[0] => Array
(
[Type] => volume
[Value] => 5
)
[1] => Array
(
[Type] => issue
[Value] => 4
)
)
[Titles] => Array
(
[0] => Array
(
[TitleFull] => Mathematics Interdisciplinary Research
[Type] => main
)
)
)
)
)
)
)
|
| IllustrationInfo |